A generalized continuum theory with internal corner and surface contact interactions

DOI10.1007/s00161-015-0423-8zbMath1348.74013OpenAlexW2004459181MaRDI QIDQ332467

Roger L. Fosdick

Publication date: 8 November 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-015-0423-8

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Kinematics of deformation (74A05) Polar materials (74A35) Nonsimple materials (74A30) Stress (74A10)

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Geometric analysis of hyper-stresses ⋮ Mindlin's micro-structural and gradient elasticity theories and their thermodynamics ⋮ Hyper-stresses in \(k\)-jet field theories ⋮ A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable ⋮ Gradient elasticity based on Laplacians of stress and strain ⋮ Dynamics of incompressible fluids with incompatible distortion rates ⋮ Phase-field gradient theory ⋮ Continuum theory for mechanical metamaterials with a cubic lattice substructure

Cites Work

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• The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool
• On the ``principle of virtual power for arbitrary parts of a body
• On edge interactions and surface tension
• Hypertractions and hyperstresses convey the same mechanical information
• A variational proof of the stress theorem of Cauchy
• Edge contact forces and quasi-balanced power
• Observations concerning virtual power
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

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