Abstract
Micromechanics-based constitutive relations for post-localization analysis are obtained, to be used in a multi-surface representation of porous metal plasticity. Each yield surface involves a number of internal parameters. Hence, the constitutive relations must be closed with evolution equations for the internal parameters. The latter are essential to describing the gradual loss of load-bearing capacity under shear-dominated loading. We also briefly discuss potential void closure due to void rotation and elongation in shear and show additional details regarding the simulations reported in a recent paper (A mechanism of failure in shear bands (2018) Extreme Mechanics Letters, 23, pp. 67-71.) The method can be more broadly used in a range of ductile failure problems involving combined tension and shear loadings.
Highlights
The simulations were based on a two-surface porous material plasticity formulation
The two surfaces represent different regimes of void growth, dependent on whether plastic flow is localized at the sub-cell level or not
A theoretical framework was developed for post-localized plastic flow in porous materials under shear-dominated loading
Summary
A Department of Aerospace Engineering, Texas A&M University, College Station, TX, 77843, United States b TEES Center for intelligent Multifunctional Materials and Structures (CiMMS), College Station, TX, 77843, United States c Department of Materials Science & Engineering, Texas A&M University, College Station, TX, 77843, United States
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