Incompatible deformation field and Riemann curvature tensor

DOI10.1007/s10483-017-2176-8zbMath1365.74009OpenAlexW2583005911MaRDI QIDQ2359215

Bo-Hua Sun

Publication date: 27 June 2017

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-017-2176-8

zbMATH Keywords

deformation gradientcompatibility conditiondislocation density tensorBurgers vectorRiemann curvature tensor

Mathematics Subject Classification ID

Kinematics of deformation (74A05) Applications of differential geometry to physics (53Z05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (3)

Thermal transport, geometry, and anomalies ⋮ Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity ⋮ The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity

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