A compatible-incompatible decomposition of symmetric tensors inLpwith application to elasticity

DOI10.1002/mma.3450zbMath1333.74020OpenAlexW1944684138MaRDI QIDQ2795284

Riccardo Scala, Nicolas Van Goethem, G. B. Maggiani

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3450

zbMATH Keywords

elasticitycompatibility conditionsstrain decompositionkorn inequality

Mathematics Subject Classification ID

Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for higher-order elliptic systems (35J58)

Related Items

L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions, Incompatibility-governed singularities in linear elasticity with dislocations, Beltrami’s completeness for 𝕃p symmetric matrix fields, DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS, Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity, A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor, Bodies in an interacting active fluid: far-field influence of a single body and interaction between two bodies, The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity, Cauchy elasticity with dislocations in the small strain assumption, Topological defects and metric anomalies as sources of incompatibility for piecewise smooth strain fields, Incompatibility-governed elasto-plasticity for continua with dislocations, Analysis of the Incompatibility Operator and Application in Intrinsic Elasticity with Dislocations, The Frank tensor as a boundary condition in intrinsic linearized elasticity, Poincaré path integrals for elasticity, Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy, Matrix representation of a cross product and related curl-based differential operators in all space dimensions

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