Variation de forme pour une équation instationnaire du 4ème ordre dans un modèle de dislocations

DOI10.1016/j.crma.2011.07.023zbMath1411.74013OpenAlexW2010833249MaRDI QIDQ639638

Nicolas Van Goethem

Publication date: 22 September 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.07.023

zbMATH Keywords

thermodynamic modelconfigurational forcesingle crystaldislocation frontnon-Riemannian metric

Mathematics Subject Classification ID

Crystalline structure (74E15) Optimization of other properties in solid mechanics (74P10) Micromechanical theories (74A60)

Related Items (4)

A multiscale model for dislocations: From mesoscopic elasticity to macroscopic plasticity ⋮ Topological sensitivity analysis for elliptic differential operators of order \(2{m}\) ⋮ Thermodynamic forces in single crystals with dislocations ⋮ Fields of bounded deformation for mesoscopic dislocations

Cites Work

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• Damage and fracture evolution in brittle materials by shape optimization methods
• Hadamard's formula inside and out
• The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919--2000)
• Strain incompatibility in single crystals: Kröner's formula revisited
• Optimal treatment of structures
• Sensitivity of the heat equation to jumps of conductivity
• Topological sensitivity analysis for time-dependent problems
• Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût

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