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Pile-up现象对材料本构关系反演计算的影响

王月敏 闫相桥 李垚

哈尔滨工程大学学报2018,Vol.39Issue(5):825-830,6.
哈尔滨工程大学学报2018,Vol.39Issue(5):825-830,6.DOI:10.11990/jheu.201610094

Pile-up现象对材料本构关系反演计算的影响

Influence of Pile-up on reverse analysis of constitutive relationship of materials

王月敏 1闫相桥 1李垚1

作者信息

  • 1. 哈尔滨工业大学复合材料与结构研究所,黑龙江哈尔滨150080
  • 折叠

摘要

Abstract

In this study,we investigated the impact of Pile-up behavior on the mechanical parameters of materials and performed an inverse computation of the constitutive relation to determine the effect of neglecting Pile -up in commercial nanoindentation tests.First,we deduced the energy method theory.We selected five different materials for the nanoindentation test, and used the commercial Oliver-Pharr and energy methods to compute the hardness and elastic modulus,respectively.In addition,we compared the test error rates.Next,we deduced the theory un-derlying the limit analysis approach and performed inverse calculation to obtain a strain-stress curve for the Pile-up of the material.We then simulated the nanoindentation process based on the computation result.The nanoindenta-tion test results show that when the ratio of the residual indentation depth to the indentation depth is greater than 0.7,the impact of Pile-up on the test result is obvious when using the commercial Oliver-Pharr method.In addi-tion,we found the error rates of the elastic modulus and hardness to both be above 20%.The inverse computation was performed to determine the constitutive relation of materials with large plastic deformation,and both the theoret-ical computation and simulation results confirmed that Pile-up affects the stress-strain curve.These results provide a reference for the inverse computation of the constitutive relation in nanoindentation tests.

关键词

能量法/纳米压痕测试/极限分析法/Pile-up现象/反演分析/本构关系/有限元分析/量纲分析

Key words

energy method/nonoindentation test/limit analysis approach/Pile-up behavior/reverse analysis/con-stitutive relation/finite element analysis/dimensional analysis/Oliver-Pharr method

分类

数理科学

引用本文复制引用

王月敏,闫相桥,李垚..Pile-up现象对材料本构关系反演计算的影响[J].哈尔滨工程大学学报,2018,39(5):825-830,6.

基金项目

国家自然科学基金项目(51572058,91216123). (51572058,91216123)

哈尔滨工程大学学报

OA北大核心CSCDCSTPCD

1006-7043

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