On the role of the microstructure in the deformation of porous solids
On the role of the microstructure in the deformation of porous solids
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DOI：
10.1038/s41524-022-00840-5
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发表时间：
2022-02
影响因子：
9.7
通讯作者：
Sansit Patnaik;M. Jokar;Wei Ding;F. Semperlotti
中科院分区：
文献类型：
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作者：
Sansit Patnaik;M. Jokar;Wei Ding;F. Semperlotti
本研究探讨的作用，微观结构在确定的宏观静态响应的多孔弹性连续体和暴露的位置相关的非局部效应的发生是严格相关的微观结构的配置。然后，发展了一种基于变阶分数阶微积分的非局部连续介质理论，以准确地捕捉复杂的空间分布的非局部响应。通过模拟多孔梁的非线性热弹性响应，说明了分数阶方法的巨大潜力。在精度和计算效率方面评估的性能与完全解析孔隙几何形状的高保真有限元模型直接对比。结果表明，多孔微观结构的降阶表示，捕获的合成可变序参数，提供了一个强大的和准确的多尺度材料结构的表示，在很大程度上优于基于平均孔隙率的概念的经典方法。
This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependent nonlocal effects that are strictly correlated to the configuration of the microstructure. Then, a nonlocal continuum theory based on variable-order fractional calculus is developed in order to accurately capture the complex spatially distributed nonlocal response. The remarkable potential of the fractional approach is illustrated by simulating the nonlinear thermoelastic response of porous beams. The performance, evaluated both in terms of accuracy and computational efficiency, is directly contrasted with high-fidelity finite element models that fully resolve the pores’ geometry. Results indicate that the reduced-order representation of the porous microstructure, captured by the synthetic variable-order parameter, offers a robust and accurate representation of the multiscale material architecture that largely outperforms classical approaches based on the concept of average porosity.