Premium
An accurate and explicit approach to modeling realistic hardening‐to‐softening transition effects of metals
Author(s) -
Xu ZiHan,
Zhan Lin,
Wang SiYu,
Xi HuiFeng,
Xiao Heng
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000122
Subject(s) - softening , shearing (physics) , hardening (computing) , von mises yield criterion , strain hardening exponent , plasticity , structural engineering , computer science , materials science , mechanics , finite element method , engineering , metallurgy , physics , composite material , layer (electronics)
A finite strain J 2 ‐flow model of von Mises type for elastoplastic behaviors of metals is proposed with a new characterization of the evolving yield strength. It is intended for providing solutions to a few unresolved issues concerning a simultaneous simulation of realistic hardening and softening effects for metals up to failure. Such issues are concerned with three respects, namely, how to ensure that the simulation is accurate in the sense that sufficient uniaxial experimental data for both hardening and softening effects can be matched with no errors, how to ensure that the simulation is explicit in the sense that any implicit trial‐and‐error iterative procedures in identifying numerous parameters can be bypassed, and how to ensure that the simulation is of broad applicability in the sense that any given uniaxial data for metals can be automatically matched. With the new model proposed, solutions to such issues are obtained by presenting an accurate and explicit form of the yield strength function that automatically matches any given test data. Numerical examples with realistic hardening‐to‐softening transition effects are presented for the first time for the finite strain responses of both uniaxial stretching and simple shearing up to the eventual failure.