Energy‐momentum‐entropy consistent numerical methods for large‐strain thermoelasticity relying on the GENERIC formalism
Energy‐momentum‐entropy consistent numerical methods for large‐strain thermoelasticity relying on the GENERIC formalism
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基于 GENERIC 形式的大应变热弹性能量-动量-熵一致数值方法
DOI：
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发表时间：
2019
影响因子：
2.9
通讯作者：
M. Schiebl
中科院分区：
文献类型：
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作者：
P. Betsch;M. Schiebl
本文提出了有限应变热弹性动力学的保结构数值方法。基本的变分公式是基于非平衡可逆-不可逆耦合（GENERIC）形式主义的一般方程，并使自由选择热力学状态变量成为可能。引入了“GENERIC相容空间离散化”的概念，方便了能量-动量-熵（EME）相容格式的设计。特别是，三个替代EME计划从本方法的结果。这些方案直接与热力学变量的各自选择相关联。数值算例证实了新开发的EME格式的结构保持特性，表现出上级数值稳定性。
In the present paper, structure‐preserving numerical methods for finite strain thermoelastodynamics are proposed. The underlying variational formulation is based on the general equation for nonequilibrium reversible‐irreversible coupling (GENERIC) formalism and makes possible the free choice of the thermodynamic state variable. The notion “GENERIC consistent space discretization” is introduced, which facilitates the design of Energy‐Momentum‐Entropy (EME) consistent schemes. In particular, three alternative EME schemes result from the present approach. These schemes are directly linked to the respective choice of the thermodynamic variable. Numerical examples confirm the structure‐preserving properties of the newly developed EME schemes, which exhibit superior numerical stability.