Gradient theory for plasticity via homogenization of discrete dislocations

DOI10.4171/JEMS/228zbMath1200.74017arXiv0808.2361MaRDI QIDQ990223

Giovanni Leoni, Marcello Ponsiglione, Adriana Garroni

Publication date: 6 September 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2361

zbMATH Keywords

energy minimizationrelaxationstress concentration

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Homogenization in equilibrium problems of solid mechanics (74Q05)

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Cites Work

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• New estimates for elliptic equations and Hodge type systems
• A phenomenological theory for strain gradient effects in plasticity
• Finite strain discrete dislocation plasticity
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