\(\Gamma\)-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions

DOI10.1515/ACV-2023-0053MaRDI QIDQ6661343

M. Ponsiglione, L. De Luca, Roberto Alicandro, Mariapia Palombaro

Publication date: 13 January 2025

Published in: Advances in the Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

nonlinear elasticityplasticitydislocations\(\Gamma\)-convergencediscrete-to-continuum limits

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Singularities of vector fields, topological aspects (58K45)

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