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General Mechanical

General Mechanical

Topics related to Mechanical Enterprise, Motion, Additive Print and more.

How to get accumulated thermal strain of a structure with considering varying CTE values with temp?

    • Shankarbhattarai
      Subscriber
    • dlooman
      Ansys Employee
      The most common way to specify CTE is with a mean value going from the stress free temperature to the current model temperature. The other way is to specify the "instantaneous" coefficient of thermal expansion that exists at various temperatures. This is the method you are proposing and apparently have data for. With this method Ansys internally converts the instantaneous input to mean value input internally. You can see this if you list the CTE with MPLIST. In the end, with instantaneous input, the thermal strain at 50 degK will be based on all the CTE values going from 293 down to 50 degC, not just the 5.1 value of 50 degK. You can plot thermal strain to confirm this.
    • Shankarbhattarai
      Subscriber
      Thank you for your comment, however, I am still unable to get the total thermal strain considering the time-varying CTE values. This is because each subcase uses the global initial temperature value to calculate the temperature difference. Looking forward to your hints on it.
    • Shankarbhattarai
      Subscriber
      Moreover, the transient analysis only gives the result with respect to time however, due to the nonlinear CTE value the result would not be accumulated. How could we deal with this issue to get the accumulated thermal strain when the initial stress-free temperature is 20 C and applied temperature load is -223 C based on the above-listed CTE values.
    • peteroznewman
      Subscriber
      I recommend you read this blog to help your understanding of thermal expansion calculations in ANSYS.
      https://www.padtinc.com/blog/secant-or-instantaneous-cte-understanding-thermal-expansion-modeling-ansys-mechanical/
    • Shankarbhattarai
      Subscriber
      Thank you for sharing this document.
    • Shankarbhattarai
      Subscriber
      So, the only option to calculate the thermal strain by taking into account all of the CTE values is to use the CTE's mean value? I read the aforementioned document, but I'm not sure how to calculate the cumulative thermal strain. Thank you.
    • peteroznewman
      Subscriber
      After reading the aforementioned document, I have a question for you: Is the CTE table you provided Instantaneous CTE values or are they Secant CTE values, and if they are Secant CTE values, what is the reference temperature?
      If you know the table to be Instantaneous CTE values, use equation (4) in the document to convert to Secant CTE at the reference temperature of 20 C that you mentioned for the zero strain temperature.
    • peteroznewman
      Subscriber
      Here is a good paper that explains how to integrate properties that vary over a temperature range to get a secant value that can be used in a linear analysis that correctly computes the thermal strain that has developed going from one temperature to another.
      When you say SOL106, you are saying you are using Nastran. I use Nastran as well as Ansys. The paper above is relevant for any FEA program.
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