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inertia term $\rho u\hackscore{i,tt}$ has been dropped as we assume a static scenario here. Moreover, in 
inertia term $\rho u\hackscore{i,tt}$ has been dropped as we assume a static scenario here. Moreover, in 
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comparison to the \eqn{WAVE stress} 
comparison to the \eqn{WAVE stress} 
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definition of stress $\sigma$ in \eqn{HEATEDBLOCK linear elastic} an extra term is introduced 
definition of stress $\sigma$ in \eqn{HEATEDBLOCK linear elastic} an extra term is introduced 
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to bring in stress due to volume changes trough temperature dependent expansion. 
to bring in stress due to volume changes through temperature dependent expansion. 
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Our domain is the unit cube 
Our domain is the unit cube 
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\begin{eqnarray} \label{HEATEDBLOCK natural location} 
\begin{eqnarray} \label{HEATEDBLOCK natural location} 