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Micromechanics-based constitutive relations for post-localization analysis.

Mohammad E Torki1,2, A Amine Benzerga1,2,3

  • 1Department of Aerospace Engineering, Texas A&M University, College Station, TX, 77843, United States.

Methodsx
|December 4, 2018
PubMed
Summary
This summary is machine-generated.

This study develops micromechanics-based constitutive relations for porous metal plasticity, essential for predicting material failure under shear loading. The new model accurately describes the loss of load-bearing capacity and void evolution during ductile failure.

Keywords:
DuctilityLode anglePost-localization analysis in shearTriaxialityVoid coalescenceVoid growth

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Mechanics

Background:

  • Understanding ductile failure in porous metals is critical for engineering applications.
  • Existing models often lack detailed descriptions of post-localization behavior.
  • Shear-dominated loading presents unique challenges in predicting material failure.

Purpose of the Study:

  • To develop micromechanics-based constitutive relations for post-localization analysis of porous metal plasticity.
  • To incorporate internal parameters and their evolution equations for accurate failure prediction.
  • To enhance the understanding of void evolution mechanisms during shear loading.

Main Methods:

  • Derivation of micromechanics-based constitutive relations.
  • Implementation within a multi-surface representation of porous metal plasticity.
  • Inclusion of evolution equations for internal parameters governing yield surfaces.
  • Simulation of void closure due to rotation and elongation in shear bands.

Main Results:

  • Established constitutive relations for post-localization analysis.
  • Successfully modeled the gradual loss of load-bearing capacity under shear.
  • Provided insights into void closure mechanisms in shear-dominated loading.
  • Demonstrated the broader applicability of the method to combined tension-shear loadings.

Conclusions:

  • The developed micromechanics-based constitutive relations are effective for post-localization analysis in porous metal plasticity.
  • The inclusion of internal parameter evolution is crucial for describing shear-induced ductile failure.
  • The methodology offers a robust framework for analyzing a range of ductile failure problems.