From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence

DOI10.1007/s00161-011-0184-yzbMath1272.74046OpenAlexW1997931904MaRDI QIDQ367930

Giuseppe Tomassetti, Roberto Paroni

Publication date: 17 September 2013

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

Full work available at URL: http://hdl.handle.net/2108/100347

zbMATH Keywords

initial stressincremental elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (10)

Existence and linearization for the Souza-Auricchio model at finite strains ⋮ Residual stresses in random elastic composites: nonlocal micromechanics-based models and first estimates of the representative volume element size ⋮ Pressure live loads and the variational derivation of linear elasticity ⋮ Linearization for finite plasticity under dislocation-density tensor regularization ⋮ Residually stressed beams ⋮ Geometric linearization of theories for incompressible elastic materials and applications ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization ⋮ Buckling of residually stressed plates: An asymptotic approach ⋮ Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks ⋮ On Korn’s constant for thin cylindrical domains

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