Dilatation gradient elasticity theory

DOI10.1016/J.EUROMECHSOL.2021.104258zbMath1485.74012OpenAlexW3133905856MaRDI QIDQ2035235

Alexander V. Volkov, Yu. O. Solyaev, Alexander L. Kalamkarov, Sergey Lurie

Publication date: 24 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104258

zbMATH Keywords

dilatationvariational formulationboundary conditioninfinitesimal strain tensorstrain gradient elasticity theorypressurized sphereradial sphere vibrationsurface divergence theorem

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)

Related Items (7)

Stationary variational principle of mixture unified gradient elasticity ⋮ Ellipticity of gradient poroelasticity ⋮ On integral and differential formulations in nonlocal elasticity ⋮ Variant of strain gradient elasticity with simplified formulation of traction boundary value problems ⋮ A mixed variational framework for higher-order unified gradient elasticity ⋮ On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains ⋮ Ellipticity in couple-stress elasticity

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