Abstract

In this article, a methodology based on Discrete Element Method (DEM) and Finite Elements Method (FEM) combined with modified Approximate Periodic Boundary Condition (mAPBC) has been utilized to develop a cubic Representative Element Volume (RVE). The developed methodology has then been effectively utilized to estimate the elastic mechanical properties of open foams, validated for the case of Ti open-cell foams with non-regular distribution of spherical pores. The non-regular distribution of overlapping pores was generated by means of DEM, while the homogenized elastic constants for foams with 30–70 percentage porosity are computed using FEM based on a Small Lineal Perturbation Method (SLPM). The accuracy of the developed approach has been demonstrated through the comparison of the simulations obtained for different RVE sizes with experimental results and predictive models available in literature.

Graphic abstract

中文翻译：

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在修正的近似周期性边界条件下，使用DEM–FEM方案开发RVE，以估计开孔泡沫的弹性力学性能

摘要

在本文中，已利用基于离散元素方法（DEM）和有限元素方法（FEM）结合改进的近似周期性边界条件（mAPBC）的方法来开发立方代表元素体积（RVE）。然后，已开发的方法已被有效地用于评估开孔泡沫的弹性力学性能，这对于具有非规则分布的球形孔的Ti开孔泡沫的情况得到了验证。重叠孔的不规则分布是通过DEM生成的，而孔隙率30-70％的泡沫的均质弹性常数是使用基于小线性扰动法（SLPM）的FEM计算的。

图形摘要