论文标题
关于微结构在多孔固体变形中的作用
On the role of the microstructure in the deformation of porous solids
论文作者
论文摘要
这项研究探讨了微观结构在确定多孔弹性连续图的宏观静态响应中所扮演的作用，并暴露了与微观结构的构型严格相关的位置依赖性非局部效应的发生。然后，开发基于可变阶分积分的非局部连续性理论，以准确捕获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来说明分数方法的显着潜力。从准确性和计算效率方面进行了评估的性能与充分解决毛孔几何形状的高保真有限元模型直接形成鲜明对比。结果表明，由合成变量阶参数捕获的多孔微观结构的减少顺序表示，提供了多尺度材料体系结构的强大而准确的表示，这些表示基于平均孔隙率的概念，在很大程度上优于经典方法。
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.
