Mindlin's micro-structural and gradient elasticity theories and their thermodynamics

DOI10.1007/s10659-016-9572-7zbMath1348.74057OpenAlexW2341415636MaRDI QIDQ331968

C. Broese, Dimitrios E. Beskos, Charalampos Tsakmakis

Publication date: 27 October 2016

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9572-7

zbMATH Keywords

vibrationsnon-equilibrium thermodynamicsgradient elasticitymicro-inertiamicro-stiffnessmicromorphic continuumMindlin's micro-structured materialsnon-classical body forcesnon-classical boundary conditionsnon-classical inertiasymmetric Cauchy stress

Mathematics Subject Classification ID

Elastic materials (74B99) Basic methods in thermodynamics and heat transfer (80M99)

Related Items (4)

A finite element implementation of the stress gradient theory ⋮ Gradient elasticity based on Laplacians of stress and strain ⋮ Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models ⋮ Comparison of Laplacian based explicit and implicit gradient elasticity with reference to one-dimensional problems in statics and dynamics

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