Consistent incremental approximation of dissipation pseudo-potentials in the variational formulation of thermo-mechanical constitutive updates
Consistent incremental approximation of dissipation pseudo-potentials in the variational formulation of thermo-mechanical constitutive updates
复制标题
热机械本构更新变分公式中耗散赝势的一致增量近似
DOI：
10.1016/j.mechrescom.2011.03.011
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发表时间：
2011
影响因子：
2.4
通讯作者：
L. Stainier
中科院分区：
文献类型：
--
作者：
L. Stainier
本文给出了热力耦合边值问题变分形式中增量耗散赝势的一个一致近似表达式。我们解释了为什么最直观的表达式不工作的情况下，一个明确的温度依赖性的耗散，并提出了一个替代的表达式，确保一致的结果时，减少时间增量为零。
In this paper, we detail a consistent approximate expression for incremental dissipation pseudo-potentials which appear in the variational formulation of coupled thermo-mechanical boundary-value problems. We explain why the most intuitive expression does not work in the case of an explicit temperature dependence in the dissipation, and propose an alternative expression ensuring consistent results when reducing the time increment towards zero.