Monthly Archives: July 2019

Kindness and Cholera in California

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California likely leads the nation in socially activist government kindness. It also leads the nation in homelessness, chronic homelessness, and homeless veterans. The US Council on Homelessnesses estimates that, on any given day, 129,972 Californians are homeless, including 6,702 family households, and 10,836 veterans; 34,332 people are listed among “the chronic homeless”. That is, Californians with a disability who have been continuously homeless for one year or cumulatively homeless for 12 months in the past three years. No other state comes close to these numbers. The vast majority of these homeless are in the richer areas of two rich California cities: Los Angeles and San Francisco (mostly Los Angeles). Along with the homeless in these cities, there’s been a rise in 3rd world diseases: cholera, typhoid, typhus, etc. I’d like to explore the relationship between the policies of these cities and the rise of homelessness and disease. And I’d like to suggest a few cures, mostly involving sanitation. 

A homeless encampment in LosAngeles

Most of the US homeless do not live in camps or on the streets. The better off US homelessness find it is a temporary situation. They survive living in hotels or homeless shelters, or they “couch-serf,” with family or friends. They tend to take part time jobs, or collect unemployment, and they eventually find a permanent residence. For the chronic homeless things are a lot grimmer, especially in California. The chronic unemployed do not get unemployment insurance, and California’s work rules tend to mean there are no part time jobs, and there is not even a viable can and bottle return system in California, so the homeless are denied even this source of income*. There is welfare and SSI, but you have to be somewhat stable to sign up and collect. The result is that California’s chronic homeless tend to live in squalor strewn tent cities, supported by food handouts.

Californians provide generous food handouts, but there is inadequate sewage, or trash collection, and limited access to clean water. Many of the chronic homeless are drug-dependent or mentally ill, and though they might  benefit from religion-based missions, Los Angeles has pushed the missions to the edges of the cities, away from the homeless. The excess food and lack of trash collection tends to breed rats and disease, and as in the middle ages, the rats help spread the diseases. 

Total homelessness by state, 2018; California leads the nation. The better off among these individuals do not live on the streets, but in hotels or homeless shelters. For most, this is a short term situation. The rest, about 20%, are chronically homeless. About half of these live on the streets without adequate sewage and water. Many are drug-dependent.

The first major outbreaks of the homeless camps appeared in Los Angeles in August and September of 2017. They reappeared in 2018, and by late summer, rates were roughly double 2017’s. This year, 2019, looks like it could be a real disaster. The first case of a typhoid infected police officer showed up in May. By June there were six police officers with typhoid, and that suggests record numbers are brewing among the homeless.

To see why sanitation is an important part of the cure, it’s worth noting that typhoid is a disease of unclean hands, and a relative of botulism. It is spread by people who go to the bathroom and then handle food without washing their hands first. The homeless camps do not, by and large, have hand washing stations. and forced hygiene is prohibited. Los Angeles has set up porta-potties, with no easy hand washing. The result is typhoid epidemic that’s even affecting the police (six policemen in June!).

rate od disease spread.
R-naught, reproduction number for some diseases, CDC.

Historically, the worst outbreaks of typhoid were spread by food workers. This was the case with “typhoid Mary of the early 20th century.” My guess is that some of the police who got typhoid, got it while trying to feed the needy. If so, this fellow could become another Typhoid Mary. Ideally, you’d want shelters and washing stations where the homeless are. You’d also want to pickup the dirtier among the homeless for forced washing and an occasional night in a homeless shelter. This is considered inhumane in Los Angeles, but they do things like this in New York, or they did.

Typhus is another major disease of the California homeless camps. It is related to typhoid but spread by rodents and their fleas. Infected rodents are attracted to the homeless camps by the excess food. When the rodents die, their infected fleas jump to the nearest warm body. Sometimes that’s a person, sometimes another animal. In a nastier city, like New York, the police come by and take away old food, dead animals, and dirty clothing; in Los Angeles they don’t. They believe the homeless have significant squatters rights. California’s kindness here results in typhus.

Reproduction number and generation time for some diseases.

The last of the major diseases of the homeless camps is cholera. It’s different from the others in that it is not dependent on squalor, just poor health. Cholera is an airborne disease, spread by coughing and sneezing. In California’s camps, the crazy and sick dwell close to each other and close to healthy tourists. Cholera outbreaks are a predictable result. And they can easily spread beyond the camps to your home town, and if that happens a national plague could spread really fast.

I’d discussed R-naught as a measure of contagiousness some months ago, comparing it to the reproductive number of an atom bomb design, but there is more to understanding a disease outbreak. R-naught refers merely to the number of people that each infected person will infect before getting cured or dying. An R-naught greater than one means the disease will spread, but to understand the rate of spread you also need the generation time. That’s the average time between when the host becomes infected, and when he or she infects others. The chart above shows that, for cholera, r-naught is about 10, and the latency period is short, about 9 days. Without a serious change in California’s treatment of the homeless, each cholera case in June will result in over 100 cases in July, and well over 10,000 in August. Cholera is somewhat contained in the camps, but once an outbreak leaves the camps, we could have a pandemic. Cholera is currently 80% curable by antibiotics, so a pandemic would be deadly.

Hygiene is the normal way to prevent all these outbreaks. To stop typhoid, make bathrooms available, with washing stations, and temporary shelters, ideally these should be run by the religious groups: the Salvation Army, the Catholic Church, “Loaveser and Fishes”, etc. To prevent typhus, clean the encampments on a regular basis, removing food, clothing, feces and moving squatters. For cholera, provide healthcare and temporary shelters where people will get clean water, clean food, and a bed. Allow the homeless to work at menial jobs by relaxing worker hiring and pay requirements. A high minimum wage is a killer that nearly destroyed Detroit. Allow a business to hire the homeless to sweep the street for $2/hour or for a sandwich, but make a condition that they wash their hands, and throw out the leftovers. I suspect that a lot of the problems of Puerto Rico are caused by a too-high minimum wage by the way. There will always be poor among you, says the Bible, but there doesn’t have to be typhoid among the poor, says Dr. Robert Buxbaum.

*California has a very strict can and bottle return law where — everything is supposed to be recycled– but there are very few recycling centers, and most stores refuse to take returns. This is a problem in big government states: it’s so much easier to mandate things than to achieve them.

July 30, 2019. I ran for water commissioner in Oakland county, Michigan, 2016. If there is interest, I’ll run again. One of my big issues is clean water. Oakland could use some help in this regard.

The electoral college favors small, big, and swing states, punishes Alabama and Massachusetts.

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As of this month, the District of Columbia has joined 15 states in a pact to would end the electoral college choice of president. These 15 include New York, California, and a growing list of solid-blue (Democratic party) states. They claim the electoral must go as it robed them of the presidency perhaps five times: 2016, 2000, 1888, 1876, and perhaps 1824. They would like to replace the electoral college by plurality of popular vote, as in Mexico and much of South America.

All the big blue states and some small blue states have joined a compact to end the electoral college. As of 2019, they are 70% of the way to achieving this.

As it happens, I had to speak on this topic in High School in New York. I for the merits of the old system beyond the obvious: that it’s historical and works. One merit I found, somewhat historical, is that It was part of a great compromise that allowed the US to form. Smaller states would not have joined the union without it, fearing that the federal government would ignore or plunder them without it. Remove the vote advantage that the electoral college provides them, and the small states might have the right to leave. Federal abuse of the rural provinces is seen, in my opinion in Canada, where the large liberal provinces of Ontario and Quebec plunder and ignore the prairie provinces of oil and mineral wealth.

Several of the founding federalists (Jay, Hamilton, Washington, Madison) noted that this sort of federal republic election might bind “the people” to the president more tightly than a plurality election. The voter, it was noted, might never meet the president nor visit Washington, nor even know all the issues, but he could was represented by an elector who he trusted, he would have more faith in the result. Locals would certainly know who the elector favored, but they would accept a change if he could justify it because of some new information or circumstance, if a candidate died, for example, or if the country was otherwise deadlocked, as in 1800 or 1824.

Historically speaking, most electors vote their states and with their previously stated (or sworn) declaration, but sometimes they switch. In, 2016 ten electors switched from their state’s choice. Sven were Democrats who voted against Hillary Clinton, and three were Republicans. Electors who do this are called either “faithless electors” or “Hamilton electors,” depending on whether they voted for you or against you. Hamilton had argued for electors who would “vote their conscience” in Federalist Paper No. 68.  One might say these electors threw away their shot, as Hamilton did not. Still, they showed that elector voting is not just symbolic.

Federalist theory aside, it seems to me that the current system empowers both large and small states inordinately, and swing states, while disempowering Alabama and Massachussetts. Change the system and might change the outcome in unexpected ways.

That the current system favors Rhode Island is obvious. RI has barely enough population for 1 congressman, and gets three electors. Alabama, with 7 congressmen, gets 9 electors. Rhode Islanders thus get 2.4 times the vote power of Alabamans.

It’s less obvious that Alabama and Massachussetts are disfavored compared to New Yorkers and Californians. But Alabama is solid red, while New York and California are only sort of blue. They are majority Democrat, with enough Republicans to have had Republican governors occasionally in recent history. Because the electoral college awards all of New York’s votes to the winner, a small number Democrat advantage controls many electors.

In 2016, of those who voted for major party candidates in New York, 53% voted for the Democrat, and 47% Republican. This slight difference, 6%, swung all of NY’s 27 electors to Ms Clinton. If a popular vote are to replace the electoral college, New York would only have the net effect of the 6% difference; that’s about 1 million net votes. By contrast, Alabama is about 1/3 the population of New York, but 75% Republican. Currently its impact is only 1/3 of New York’s despite having a net of 2.5 million more R voters. Without the college, Alabama would have 2.5 times the impact of NY. This impact might be balanced by Massachusetts, but at the very least candidates would campaign in these states– states that are currently ignored. Given how red and blue these states are, it is quite possible that the Republican will be more conservative than current, and the Democrat more liberal, and third party candidates would have a field day as is common in Mexico and South America.

Proposed division of California into three states, all Democrat-leaning. Supposedly this will increase the voting power of the state by providing 4 more electors and 4 more senators.

California has petitioned for a different change to the electoral system — one that should empower the Democrats and Californians, or so the theory goes. On the ballot in 2016 was bill that would divide California into three sub-states. Between them, California would have six senators and four more electors. The proposer of the bill claims that he engineered the division, shown at right, so skillful that all three parts would stay Democrat controlled. Some people are worried, though. California is not totally blue. Once you split the state, there is more than three times the chance that one sub-state will go red. If so, the state’s effect would be reduced by 2/3 in a close election. At the last moment of 2016 the resolution was removed from the ballot.

Turning now to voter turnout, it seems to me that a change in the electoral college would change this as well. Currently, about half of all voters stay home, perhaps because their state’s effect on the presidential choice is fore-ordained. Also, a lot of fringe candidates don’t try as they don’t see themselves winning 50+% of the electoral college. If you change how we elect the president we are sure find a new assortment of voters and a much wider assortment of candidates at the final gate, as in Mexico. Democrats seem to believe that more Democrats will show up, and that they’ll vote mainstream D, but I suspect otherwise. I can not even claim the alternatives will be more fair.

In terms of fairness, Marie de Condorcet showed that the plurality system will not be fair if there are more than two candidates. It will be more interesting though. If changes to the electoral college system comes up in your state, be sure to tell your congressperson what you think.

Robert Buxbaum, July 22, 2019.

The free press isn’t

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Newspapers remain the primary source for verified news. Facts presumed to be sifted to avoid bias, while opinions and context is presumed to be that of the reporter whose name appears as the byline. We may look to other media sources for confirmation and fact-checking: news magazines, Snopes, and Facebook. Since 2016 these sources have been unanimous in their agreement about the dangers of biassed news. Republicans, including the president have claimed that the left-media spreads “fake news”, against him, while Democrats claim that Trump and the Russians have been spreading pro-Trump, fake news, While Trump and the Republicans claim that the left-media spreads fake news. In an environment like this, it’s worthwhile to point out that the left-wing and right-wing press is owned by a very few rich people, and none of it is free of their influence. An example of this is the following compilation of many stations praising their news independence: CBS, ABC, NBC, and FOX, praising their independence in exactly the same words.

It costs quite a lot to buy a newspaper or television station, and a lot more to keep it running. Often these are money-losing ventures, and as a result, the major newspapers tend to be owned by a few mega-rich individuals who have social or political axes to grind. As the video above shows, one main axe they have is convincing you of their own independence and reliability. The Sinclair news service, owned by the Smith news family came up with the text, and all the independent journalists read it in as convincing a voice as they could muster. This is not to say. that all the news is this bad or that the mega rich don’t provide a service by providing us the news, but it’s worth noting that they extract a fee by controlling what is said, and making sure that the news you see fits their agendas – agendas that are often obvious and open to the general view.

Perhaps the most prominent voice on the right is Rupert Murdoch who owns The New York Post, and The Wall Street Journal. He used to own Fox too, and is still the majority controller and guiding voice, but Fox is now owned by Disney who also owns ABC. Murdoch uses his many media outlets to make money and promote conservative and Republican causes. You might expect him to support Trump, but he has a person feud with him that boils up in the Post’s cover pages. Disney’s ABC tends to present news on the left, but as in the compilation above, left and right journalists have no problem parroting the same words. Here is another, older compilation, more journalistl saying the same thing in the same words, e.g. playing up the Conan O’Brian show.

Another media master is Ted Turner. He tends to own media outlets on the left including CNN. Turner manages to make CNN, and his other properties profitable, in part by courting controversy. His wife for a time was Jane Fonda, otherwise known as Hanoi Jane.

Another left-leaning media empire (whatever that means) is MSNBC. It is owned by Time-Warner, also owner of The Huffington Post. Both are anti-israel, and both promote zero-tariff, Pacific-rim trade, but as seen above, MSNBC anchors will read whatever trash they are told to read, and often it’s the same stuff you’d find on Fox.

Rounding out the list of those with a complete US media empires, I include the Emir of Qatar, perhaps the richest man in the world. He operates Al Jazeera, “the most respected news site for Middle east reporting” as an influence-buying vehicle. Al Jazeera is strongly anti-fracking, anti nuclear, and anti oil (Qatar is Asia’s latest supplier of natural gas). It is strongly anti-Israel, and anti Saudi. Qatar propagandist, Jamal Khashoggi worked for AlJazeera, and was likely killed for it. They’re also reliably pro-Shia, with positive stories about Hamas, The Muslim Brotherhood, and Iran, but negative stories about Sunni Egypt and Turkey. They present news, but not unbiassed.

But you don’t have to buy a complete media empire to present your politics as unbiassed news. Jeff Bezos, founder Amazon, bought The Washington Post for $250 million (chump change to hm). For most of the past two years, the paper mostly promoted anti-tariff views, and liberal causes, like high tax rates on the rich. Amazon thrives on cheep Chinese imports, and high tax rates don’t hurt because Amazon manages to not pay any taxes on $11 billion/year profits (by clever accounting they actually get a rebate). Recently Joe Biden made the mistake of calling out Amazon for not paying on $11 billion in profits, and The Washington Post has returned the favor by bashing Biden. As for why Bezos bought the money-losing Post, he said: “It is the newspaper in the Capital City of the most important country in the world… [As such] … “it has an incredibly important role to play in this democracy.”

Moving on to The New Your Times, its editorial slant is controlled by another contestant for world’s richest man: telecom mogul, Carlos “Slim” Helú. Carlos’s views are very similar to Bezos’s, with more of an emphasis on free trade with Mexico. Steve Jobs’s widow runs “The Atlantic” for the same reasons. It’s free on line, well written and money losing. Like with the above, it seems to be a vanity project to promote her views. It’s a hobby, but sh can afford it.

Like her, Chris Hughes, Facebook’s Co-founder and Zuckerberg room-mate, bought and runs the money losing “The New Republic“. He was Facebook’s director of marketing and communications before joining the Obama campaign as it internet marketing head. The New Republic’s had a stellar reputation, back in the day. Zuckerberg himself runs a media empire, but it’s different from the above: it’s social media where people pay for placement, and where those whose views he doesn’t like get censored: put in Facebook jail. He’s gotten into trouble over it, but as a media giant, there seem to have been no consequences.

H.L. Menken on the fake news of the early – mid 20th century.

And it’s not only rich individuals who turn trusted news sources into propaganda outlets. The US CIA did this for years, and likely still do. Then there are the Russians, the Chinese, the Israelis, the British (BBC) and our very own NPRt. These sources present news that benefits them in the most positive light and scream about dangers to democracy and the world if their position is touched or their veracity is questioned. As these sources are all government funded, there is a they are unanimous supporters big governments as a cure to all ills. Closer to home, I’d like to mention that Detroit has two major papers, but only one owner. The left leaning Detroit Free Press, and the right-leaning Detroit News are owned by the same people, share a considerable staff, and generally agree on important issues. There are a dozen smaller papers in Metro Detroit; all but one is owned by one media group.

I’d like to end with a positive note. Not every reporter is in this sad grab-bag. In Detroit, Setve Neveling, “the motor-city muckraker” manages to present is independent, active news. Then there is Los Angeles’s Biotech billionaire, Patrick Soon-Shiong. He bought the LA Times in June 2018, claiming he will use it to fight fake news, “the cancer of our time.” I wish him luck. So far, I’d say, he’s made the LA Times is the best Newspaper in the US with The NY Post a close second ( love the snarky headlines).

Robert Buxbaum, July 15, 2019.

Bitcoin v cash to avoid Trump’s tariffs or ransom a sailor

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The number and cash value of bitcoin transactions has surged in the last two years, and it seems that a lot of the driving motivation is avoidance of Trump’s tariffs. If you want to avoid Trump’s tariffs, claim that the value of the shipment is less than it really is. Pay part via the normal banking system through the bill of lading (and pay tariffs on that) and pay the rest in bitcoin with no record and no taxes paid. The average bitcoin transaction amount has increased to $33,504, and that seems to be the amount of taxable value being dodged on each shipment. As pointed outAs noted in Cryptopolitan, “smugglers attempting to export Chinese goods to the USA illegally have been found to be among the largest purchasers of Bitcoin.” https://www.cryptopolitan.com/is-us-china-trade-war-fueling-bitcoin-price-rally-to-7500/

Average transaction amount for several crypto currencies. The amount has surged for Bitcoin, blue line.

Bitcoin isn’t the only beneficiary, of course, but it is the largest. The chart at right shows the average transaction value of the major cryptocurrencies. The average for most are in the dollar range that you’d expect for someone evading tariffs in containerized shipments. Someone who wants to import $100,000 worth of Chinese printers will arrange to have them shipped with a lower price bill of lading. The rest of the payment, 1/3 say, would be paid by a bitcoin transfer whose escrow is tied to the legally binding bill of lading.

Number of transactions per day for several cryptocurrencies, data available from Bitinfocharts.com

Bitcoin does not stand out from the other cryptocurrencies so much in the amount of its average transaction, but in the number of transactions per day. As shown at left there are 333,050 bitcoin transactions per day at an average value of $33,504 per transaction. Multiplying these numbers together, we see that Bitcoin is used for some $11.2 billion in transactions per day, or $4.1 trillion dollars worth per year. The legitimate part of the US economy is only $58 billion per day, or $21 trillion per year. The amount will certainly rise if further tariffs are put into effect. 

Most other cryptocurrencies have fewer transactions per day, and the few that have similar (or higher) numbers deal in lower amounts. Etherium is used in 2.5 time more transactions, but the average Etherium transaction is only $679. This suggests that the total Etherium business is only $586 million per day. The dollar amounts of Etherium suggests that it is mostly used for drug trafficking, 

Cash-money is the old fashioned way to avoid tariffs, buy drugs, and do other illegal money transfers. This method isn’t going away any time soon. A suitcase of $100 bills gets handed over and the deal is done. Though it gets annoying as the amounts get large, there is a certain convenience at the other end, when you try to spend your ill-gotten gains. Thus, when Obama wanted to ransom the ten sailors that Iran had captured in 2016, he sent paper bills. According to the LA Times, this was three airplane shipments s of all non-US currency: Euros and Swiss Francs mostly. The first payment was $400 million, delivered as soon as Iran agreed to the release. The rest, $1.3 billion, was sent after the prisoners were released. Assuming that the bundles shown below contained only 100 Euro notes, each bundle would have held about $170 million dollars. We’d have had to send ten bundles of this size to redeem ten US sailors. The US ships, the laptops of sensitive information, and the weapons were granted as gifts to the Iranians. Obama claimed that all this was smart as it was cheaper than a war, and it likely is. The British had 15 sailors captured by Iran in 2009 and paid as well. In the late 1700s, John Adams (an awful president) paid 1/4 of the US budget as ransom to North African pirates. He paid in gold.

These are supposedly the pallets of cash used to ransom our sailors. Obama has justified the need to transfer the cash this way, and indeed a ransom is a lot cheaper than a war.

Obama could have ransomed the sailors with Bitcoin as there was hardly enough Bitcoin in existence, and the Iranians would have had a hard time spending it. In general, it is hard to spend Bitcoin on anything legal. Legitimate sellers want proof that they’ve paid. As a result, a buyer generally has to exchange bitcoin for bank checks — and the financial watchdogs are always sniffing at this step. Things are simpler with paper money, but not totally simple when there is no apparent source.

Iranian released this picture of the US sailors captured. Obama ransomed them for $1.7 billion in Euros.

To get a sense of the amount of paper money used this way, consider that there are $1.1 trillion in hundred dollar bills in circulation. This is four times more money’s worth than the value of all Bitcoin in circulation. Based on the wear on our $100 bills, it seems each bill is used on average 30 times per year. This suggest there are $33 trillion dollars in trade that goes on with $100 bills. Not all of this trade is illegal, but I suspect a good fraction is, and this is eight times the trade in Bitcoin. The cost of transferring cash can be high, but it’s easy to make change for a bundle of $100 bills. There is fee charged to convert Bitcoin to cash; it’s often in excess of 1%, and that adds up when you do billion-dollar kidnappings and billion dollar arms buys. In case you are wondering how German uranium enrichment centrifuges got to Iran when there is an export embargo, I’m guessing it was done through an intermediary country via cash or Bitcoin transactions.

It’s worth speculating on whether Bitcoin prices will rise as its use continues to rise. I think it will but don’t expect a fast rise. Over a year ago, I’d predicted that the price of Bitcoin would be about $10,500 each. I’d based that on Fisher’s monetary equation, that relates the value of a currency to the amount spent and the speed of money. As it happens I got the right dollar value because I’d underestimated the amount of Bitcoin purchases and the speed of the money by the same factor of four. For the price of a Bitcoin to rise, it is not enough for it to be used more. There also has to be no parallel rise in the velocity of transactions (turnovers per year). My sense is that both numbers will rise together and thus that the bitcoin price will level out, long term, with lots of volatility following daily changes in use and velocity.

As a political thought, I expect is that Bitcoin traders will mostly support Trump. My expectation here is for the classic alliance of bootleggers and prohibition police during prohibition. The police salaries and bonuses depended on liquor being illegal, and bootleggers knew that their high prices and profits depended on the same thing. I thus expect Bitcoin dealers will support Trump as a way of protecting Bitcoin profits and value. Amazon’s owner, Jeff Bezos is strongly anti-Trump, I suspect, because Amazon profits from no-tariff imports.

Robert Buxbaum,  July 10, 2019. Here are my thoughts about tariffs and free trade, and here is Satochi’s original article proposing Bitcoin and explaining how it would work. As for Iran, they’ve announced a fee for any ship in the Gulf of Hormuz. If you don’t pay, you might get attacked as a Japanese tanker recently was. My guess is payments are made in cash or Bitcoin to avoid embarrassing the payer.

Thermal stress failure

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Take a glass, preferably a cheap glass, and set it in a bowl of ice-cold water so that the water goes only half-way up the glass. Now pour boiling hot water into the glass. In a few seconds the glass will crack from thermal stress, the force caused by heat going from the inside of the glass outside to the bowl of cold water. This sort of failure is not mentioned in any of the engineering material books that I had in college, or had available for teaching engineering materials. To the extent that it is mentioned mentioned on the internet, e.g. here at wikipedia, the metric presented is not derived and (I think) wrong. Given this, I’d like to present a Buxbaum- derived metric for thermal stress-resistance and thermal stress failure. A key aspect: using a thinner glass does not help.

Before gong on to the general case of thermal stress failure, lets consider the glass, and try to compute the magnitude of the thermal stress. The glass is being torn apart and that suggests that quite a lot of stress is being generated by a ∆T of 100°C temeprarture gradient.

To calcule the thermal stress, consider the thermal expansivity of the material, α. Glass — normal cheap glass — has a thermal expansivity α = 8.5 x10-6 meters/meter °C (or 8.5 x10-6 foot/foot °C). For every degree Centigrade a meter of glass is heated, it will expand 8.5×10-6 meters, and for every degree it is cooled, it will shrink 8.5 x10-6 meters. If you consider the circumference of the glass to be L (measured in meters), then
∆L/L = α ∆T.

where ∆L is the change in length due to heating, and ∆L/L is sometimes called the “strain.”. Now, lets call the amount of stress caused by this expansion σ, sigma, measured in psi or GPa. It is proportional to the strain, ∆L/L, and to the elasticity constant, E (also called Young’s elastic constant).

σ = E ∆L/L.

For glass, Young’s elasticity constant, E = 75 GPa. Since strain was equal to α ∆T, we find that

σ =Eα ∆T 

Thus, for glass and a ∆T of 100 °C, σ =100°C x 75 GPa x 8.5 x10-6 /°C  = 0.064  GPa = 64MPa. This is about 640 atm, or 9500 psi.

As it happens, the ultimate tensile strength of ordinary glass is only about 40 MPa =  σu. This, the maximum force per area you can put on glass before it breaks, is less than the thermal stress. You can expect a break here, and wherever σu < Eα∆T. I thus create a characteristic temperature difference for thermal stress failure:

The Buxbaum failure temperature, ß = σu/Eα

If ∆T of more than ß is applied to any material, you can expect a thermal stress failure.

The Wikipedia article referenced above provides a ratio for thermal resistance. The usits are perhaps heat load per unit area and time. How you would use this ratio I don’t quite know, it includes k, the thermal conductivity and ν, the Poisson ratio. Including the thermal conductivity here only makes sense, to me, if you think you’ll have a defined thermal load, a defined amount of heat transfer per unit area and time. I don’t think this is a normal way to look at things.  As for including the Poisson ratio, this too seems misunderstanding. The assumption is that a high Poisson ratio decreases the effect of thermal stress. The thought behind this, as I understand it, is that heating one side of a curved (the inside for example) will decrease the thickness of that side, reducing the effective stress. This is a mistake, I think; heating never decreases the thickness of any part being heated, but only increases the thickness. The heated part will expand in all directions. Thus, I think my ratio is the correct one. Please find following a list of failure temperatures for various common materials. 

Stress strain properties of engineering materials including thermal expansion, ultimate stress, MPa, and Youngs elastic modulus, GPa.

You will notice that most materials are a lot more resistant to thermal stress than glass is and some are quite a lot less resistant. Based on the above, we can expect that ice will fracture at a temperature difference as small as 1°C. Similarly, cast iron will crack with relatively little effort, while steel is a lot more durable (I hope that so-called cast iron skillets are really steel skillets). Pyrex is a form of glass that is more resistant to thermal breakage; that’s mainly because for pyrex, α is a lot smaller than for ordinary, cheap glass. I find it interesting that diamond is the material most resistant to thermal failure, followed by invar, a low -expansion steel, and ordinary rubber.

Robert E. Buxbaum, July 3, 2019. I should note that, for several of these materials, those with very high thermal conductivities, you’d want to use a very thick sample of materials to produce a temperature difference of 100*C.