Micro-mechanical model for predicting the elasto-plastic behavior of composites based on secant formulation method

• 作者: Junhao LIANG Xinhai HE Wenlong TIAN
• 来源期刊: 中国航空学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 281-295
• 页数: 15页
• 语种: 英文

摘要

To predict the Elasto-Plastic Behaviors (EPBs) of aligned inclusions reinforced compos-ites, this paper develops an interpolative Mori-Tanaka/Double-Inclusion (MT-DI) homogenization model with the secant formulation, and gives the numerical implementation algorithms of the devel-oped MT-DI model with the secant formulation. The Finite Element (FE) homogenization method is implemented to provide the''exact"EPBs of the composites and thus validate the MT-DI model with the secant formulation. The MT-DI model with the 2nd-order secant formulation is validated to provide the more accurate predictions, while the MT-DI model with the 1st-order secant formu-lation always gives the stiffer predictions. The results show that using the macro-stress and macro-strain as the inputs, the MT-DI model with the secant formulation gives the identical predictions. The predictions of the MT-DI model with the secant formulation vary between those of the MT and DI models with the secant formulation. Meanwhile, the MT-DI model with the secant formulation does not predict the accurate EPBs for the phases of the composites.