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Modeling of functionally graded material assemblages using the hybrid boundary element method functionally graded materials, boundary element methods, variational methods

机译:用混合边界元法模拟功能梯度材料组合方法功能分级材料,边界元方法,变分方法

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The hybrid boundary element method was introduced in 1987. Since then, the method has been successfully applied to different problems of elasticity and potential, including time-dependent problems. This paper focuses on establishing the conceptual framework for applying the hybrid boundary element method to functionally graded materials. In particular, a recently derived fundamental solution is employed to model heat conduction in materials with exponentially varying thermal conductivity. Thus, the boundary-only feature of the method is preserved even with such spatially varying material property. Two numerical examples are given in terms of an efficient patch test for irregular regions submitted to high gradients.
机译:杂交边界元法于1987年引入。从那时起,该方法已成功应用于弹性和潜力的不同问题,包括依赖于时间的问题。本文重点介绍建立将混合边界元法应用于功能分级材料的概念框架。特别地,最近导出的基本解决方案用于模拟材料中的导热导热,具有指数变化的导热率。因此,即使具有这种空间变化的材料特性,该方法的唯一特征也被保存。在提交到高梯度的不规则区域的有效贴剂测试方面给出了两个数值例子。

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