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Energy-Consistent Integration Scheme for Multi-body Systems with Dissipation

机译：用于耗散多体系的能量 - 一致的集成方案

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This work is concerned with the numerical solution of the evolution equations of thermo-mechanical systems, in such a way that the scheme itself satisfies the laws of thermodynamics. Within this framework, we present a novel integration scheme for the dynamics of viscoelastic continuum bodies in isothermal conditions. The proposed scheme intrinsically satisfies the laws of thermodynamics arising from the continuous. This approach enables us to address the inclusion of dissipation in bodies which is typically present in multi-body applications of interest. The resulting solutions are physically accurate since they preserve the fundamental physical properties of the model. Furthermore, the method gives an excellent performance with respect to robustness and stability. Proof for these claims as well as numerical examples that illustrate the performance of the novel scheme are provided.
机译：这项工作涉及热机械系统的演化方程的数值解，使得方案本身满足热力学定律。在此框架内，我们为等温条件下的粘弹性连续体体的动态提供了一种新的一体化方案。拟议计划本质上满足了从连续产生的热力学定律。这种方法使我们能够解决通常存在于感兴趣的多体应用中的体内的耗散。得到的解决方案是物理准确的，因为它们保持了模型的基本物理性质。此外，该方法对鲁棒性和稳定性提供了优异的性能。证明这些权利要求以及说明了说明新颖方案的性能的数值例子。

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