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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Fe~2 Computational Homogenization For The Thermo-mechanical Analysis Of Heterogeneous Solids
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Fe~2 Computational Homogenization For The Thermo-mechanical Analysis Of Heterogeneous Solids

机译：Fe〜2计算均质用于非均质固体的热力学分析

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摘要

This paper presents a two-scale thermo-mechanical analysis framework for heterogeneous solids based on a computational homogenization technique. The evolution of the mechanical and thermal fields at the macroscopic level is resolved through the incorporation of the microstructural response. Within the proposed multi-scale approach, the temperature dependent non-linear thermo-mechanical response is accounted by solving a boundary value problem at the micro-scale, the results of which are properly averaged and transferred to the macro level in a consistent way. The framework does not require explicitly determined homogenized material properties (e.g. macroscopic thermal expansion coefficients) since no constitutive equations are required for the macroscopic stresses and heat fluxes at the macro level. A nested finite element solution procedure with an operator-split implementation is outlined and the effectiveness of the approach is demonstrated by illustrative key examples.
机译：本文提出了一种基于计算均质化技术的非均质固体两尺度热力学分析框架。通过结合微观结构响应，可以解决宏观水平的机械和热场的演变。在所提出的多尺度方法中，通过解决微观尺度上的边值问题来解决与温度相关的非线性热机械响应，将其结果适当平均并以一致的方式转移到宏观层面。该框架不需要明确确定的均质材料特性（例如宏观热膨胀系数），因为宏观层面的宏观应力和热通量不需要本构方程。概述了带有操作符拆分实现的嵌套有限元求解过程，并通过说明性关键示例演示了该方法的有效性。

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