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Transient multiscale thermoelastic analysis of functionally graded materials

机译：功能梯度材料的瞬态多尺度热弹性分析

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摘要

This study is concerned with the transient multiscale analysis of two-phase functionally graded materials within the framework of linearized thermoelasticity. The two-phase material microstructures, which are created using a morphology description function, have material morphologies that depend on the volume fractions of the constituent phases. The functionally graded materials considered here have a smooth spatial variation of microstructure and homogenized material properties. The multiscale problem, which involves both macroscopic and microscopic length scales, is analyzed using asymptotic expansion homogenization coupled with the finite element method. The accuracy of the implemented multiscale analysis is verified by comparing the results against two validation problems. Subsequently, two model problems are studied to illustrate the versatility of the multiscale analysis procedure. In the first model problem, a functionally graded tungsten/copper specimen with spatially varying microstructural morphology and time-varying applied heat flux on its boundary is investigated. The second model problem concerns a functionally graded titanium/zirconia turbine blade geometry with random microstructure. For each of the model problems, the microscale stresses are utilized to perform a direct micromechanical failure analysis.
机译：这项研究与线性热弹性框架内的两相功能梯度材料的瞬态多尺度分析有关。使用形态描述函数创建的两相材料微结构具有取决于组成相的体积分数的材料形态。这里考虑的功能梯度材料在微观结构和均质材料性能方面具有平滑的空间变化。多尺度问题涉及宏观和微观长度尺度，使用渐近展开均匀化和有限元方法进行了分析。通过将结果与两个验证问题进行比较，可以验证所实施多尺度分析的准确性。随后，研究了两个模型问题以说明多尺度分析过程的多功能性。在第一个模型问题中，研究了功能分级的钨/铜试样，该试样具有在空间上变化的微观结构形态和边界上施加的时变热流。第二个模型问题涉及具有随机微观结构的功能分级的钛/氧化锆涡轮叶片几何形状。对于每个模型问题，利用微尺度应力进行直接的微机械破坏分析。

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