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Related Concept Videos

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Elastic potentials as yield surfaces for isotropic materials.

Jorge Castro1

  • 1Group of Geotechnical Engineering, Department of Ground Engineering and Materials Science, Universidad de Cantabria, Santander, Spain.

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Summary
This summary is machine-generated.

This study introduces a novel elasto-plastic constitutive model using elastic potentials as yield surfaces. This approach captures tension-compression asymmetry and accurately models various materials, including soils and metallic glasses.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Computational Engineering

Background:

  • Traditional elasto-plastic models often simplify yield surface behavior.
  • Existing criteria may not fully capture complex material responses like tension-compression asymmetry.

Purpose of the Study:

  • To propose a new framework for elasto-plastic constitutive models using elastic potentials as yield surfaces.
  • To develop a model that accounts for tension-compression asymmetry and includes first-order stress terms.

Main Methods:

  • Formulating elastic potentials using negative Gibbs free energy or complementary strain energy density.
  • Incorporating first-order terms in elastic potentials to allow translation and asymmetry.
  • Analyzing linear and non-linear elastic cases, including incompressible materials.

Main Results:

  • The proposed model yields elliptical yield surfaces for linear elasticity, correlating with Poisson's ratio and experimental data for soils and metallic glasses.
  • The approach accurately models amorphous polymers and rocks, considering intermediate stress effects.
  • For non-linear elasticity, a variety of yield surfaces, including distorted ellipsoids, are possible.

Conclusions:

  • Elastic potentials offer a rigorous and versatile basis for elasto-plastic yield surfaces.
  • The model's ability to reproduce tension-compression asymmetry and fit experimental data highlights its effectiveness.
  • This approach provides a unified framework for diverse material behaviors within elasto-plasticity.