A Variational Approach to Single Crystals with Dislocations
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Publication:4626462
DOI10.1137/18M1166572zbMath1408.49012MaRDI QIDQ4626462
Nicolas Van Goethem, Riccardo Scala
Publication date: 28 February 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral geometry (53C65) Currents in global analysis (58A25)
Related Items (7)
Variational evolution of dislocations in single crystals ⋮ Renormalized energy of a dislocation loop in a 3D anisotropic body ⋮ The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity ⋮ Analytic and geometric properties of dislocation singularities ⋮ Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth
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