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

作　　者：Junhao LIANG Xinhai HE Wenlong TIAN 

机构地区：[1]School of Materials Science&Engineering,Xi'an Polytechnic University,Xi'an 710048,China [2]Shaanxi Key Laboratory of Surface Engineering and Remanufacturing,Xi'an University,Xi'an 710048,China [3]School of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,China

出　　处：《Chinese Journal of Aeronautics》2021年第1期281-295,共15页中国航空学报（英文版）

基　　金：the financial support from the Natural Science Basic Research Program of Shaanxi(No.2019JQ857);the Doctoral Scientific Research Foundation of Xi’an Polytechnic University(No.BS201863);the China Textile Industry Federation Science and Technology Guidance Project(No.2019002);the Tianyuan Open Fund Project(No.tywl2019-14)。

摘　　要：To predict the Elasto-Plastic Behaviors(EPBs)of aligned inclusions reinforced composites,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 developed 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 2 nd-order secant formulation is validated to provide the more accurate predictions,while the MT-DI model with the 1 st-order secant formulation always gives the stiffer predictions.The results show that using the macro-stress and macrostrain 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.

关 键 词：Elasto-plastic behavior FE homogenization Mean-field homogenization MT-DI model Secant formulation 

分 类 号：TB33[一般工业技术—材料科学与工程]