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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua
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Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua

机译：热粘弹性纤维增强连续体的基于变分的高阶精确能量动量方案

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摘要

In this paper, new higher-order accurate energy-momentum schemes are presented, which rely on a discrete mixed principle of virtual power. The schemes are designed for simulating an um-directional fiber-reinforced continuum, considered as transversally isotropic nonlinear continuum with independent material behavior in and normal to fiber direction. The matrix material is considered as an isotropic thermo-viscoelastic material and the fibers behave thermo-elastic. Hence, the model takes into account an independent conduction of heat according to Duhamel's law with a transversally isotropic conductivity tensor as well as an independent heat expansion and heat capacity of the matrix and the fibers. The energy-momentum schemes preserve each balance law of the continuous problem also in the discrete setting, independent of the chosen time step size and the prescribed Neumann and Dirichlet boundary conditions. Therefore, the implemented time step size control with the iteration number as target function does not influence the structure-preservation of the schemes. The balance laws are also preserved together with different time scales in the mechanical, thermal and viscous time evolution. By calculating the generalized reactions on the boundary, numerical examples show energy-momentum consistent dynamic simulations of different transient Dirichlet and Neumann boundary conditions. (C) 2018 Elsevier B.V. All rights reserved.
机译：本文提出了一种新的基于虚拟功率离散混合原理的高阶精确能量动量方案。这些方案旨在模拟um方向的纤维增强连续体，该连续体被视为横向各向同性的非线性连续体，在纤维方向上和垂直于纤维方向具有独立的材料行为。基质材料被认为是各向同性的热粘弹性材料，纤维表现出热弹性。因此，该模型考虑了根据杜哈姆定律的独立热传导以及横向和各向同性的电导张量，以及基体和纤维的独立热膨胀和热容量。能量动量方案在离散的设置中也保留了连续问题的每个平衡定律，与选择的时间步长以及规定的Neumann和Dirichlet边界条件无关。因此，以迭代次数为目标函数实现的时间步长控制不会影响方案的结构保留。在机械，热和粘性时间演变中，平衡定律也与不同的时间尺度一起保存。通过计算边界上的广义反应，数值算例表明了不同瞬态Dirichlet和Neumann边界条件的能量-动量一致性动态模拟。 （C）2018 Elsevier B.V.保留所有权利。

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