Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation

DOI10.1515/acv-2015-0036zbMath1364.49013OpenAlexW1704939275MaRDI QIDQ518933

Gianluca Orlando, Rodica Toader, Gianni Dal Maso

Publication date: 4 April 2017

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2015-0036

zbMATH Keywords

lower semicontinuityfree discontinuity problemsfunctions of bounded deformation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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Cohesive zone-type delamination in visco-elasticity ⋮ A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,n}\) ⋮ Cohesive fracture with irreversibility: Quasistatic evolution for a model subject to fatigue ⋮ Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities ⋮ On the Integral Representation of Variational Functionals on $BD$ ⋮ Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\) ⋮ A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\) ⋮ Lower semicontinuity inGSBDfor nonautonomous surface integrals

Cites Work

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• A lower semicontinuity result in SBD for surface integral functionals of Fracture Mechanics
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• Relaxation results for some free discontinuity problems.
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