Nonlocal character of the reduced theory of thin films with higher order perturbations
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Publication:3579835
DOI10.1515/ACV.2010.012zbMath1195.49019OpenAlexW2076633026MaRDI QIDQ3579835
Giovanni Leoni, Gianni Dal Maso, Irene Fonseca
Publication date: 11 August 2010
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv.2010.012
Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)
Related Items (8)
Residual stresses in random elastic composites: nonlocal micromechanics-based models and first estimates of the representative volume element size ⋮ Variational homogenization: old and new ⋮ Relaxation in SBV\(_{p } (\varOmega ; S ^{d-1})\) ⋮ Heterogeneous Thin Films: Combining Homogenization and Dimension Reduction with Directors ⋮ Second-order structured deformations in the space of functions of bounded Hessian ⋮ Phase separation in heterogeneous media ⋮ Dimension reduction for functionals on solenoidal vector fields ⋮ A homogenization result in the gradient theory of phase transitions
Cites Work
- \(\Gamma\)-limits of integral functionals
- New lower semicontinuity results for polyconvex integrals
- Determination of the closure of the set of elasticity functionals
- Heterogeneous thin films of martensitic materials
- Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects
- A theory of thin films of martensitic materials with applications to microactuators
- An Approach to the Thin Obstacle Problem foŕ Variational Functionals Depending on Vector Valued Functions
- Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers
- CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE
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