### Thermalelasticity with material parameters dependent of the temperature

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Dear all,

I would like to know if anyone of members of this community would give me an example (can be a simple one-one dimensional) of Thermoelasticity with material parameters temperature dependent

\(d\sigma_{ij}=D_{ijkl}d\varepsilon_{kl} +h_{ij}dT\)

where

\(h_{ij}=\frac{d D_{ijkl}}{dT}\varepsilon_{kl}^{e} -D_{ijkl} \left[\frac{d \beta_{kl}}{dT}\left(T-T_{ref} \right ) + \beta_{kl} \right]

\)

I my doubt is how \(h_{ij}\) is evaluated.

Thanks for all in advance.

I would like to know if anyone of members of this community would give me an example (can be a simple one-one dimensional) of Thermoelasticity with material parameters temperature dependent

\(d\sigma_{ij}=D_{ijkl}d\varepsilon_{kl} +h_{ij}dT\)

where

\(h_{ij}=\frac{d D_{ijkl}}{dT}\varepsilon_{kl}^{e} -D_{ijkl} \left[\frac{d \beta_{kl}}{dT}\left(T-T_{ref} \right ) + \beta_{kl} \right]

\)

I my doubt is how \(h_{ij}\) is evaluated.

Thanks for all in advance.

Community: FEniCS Project

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