Second-order analysis for thin structures.
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Publication:1426418
DOI10.1016/J.NA.2003.10.007zbMath1044.49014OpenAlexW2017789591MaRDI QIDQ1426418
Elvira Zappale, Pedro Miguel Santos
Publication date: 14 March 2004
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2003.10.007
dimension reductionrelaxationthin films\(\mathcal A\)-quasiconvexity\(\Gamma\)-convergence techniquesLipschitz continuation
Nonlinear elasticity (74B20) Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (4)
On rank one convex functions that are homogeneous of degree one ⋮ Curved nonsimple grade-two thin films ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ JUNCTION IN A THIN MULTIDOMAIN FOR A FOURTH ORDER PROBLEM
Cites Work
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- A variational definition of the strain energy for an elastic string
- Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- A global method for relaxation
- Lower semicontinuity for quasiconvex integrals of higher order
- A justification of nonlinear properly invariant plate theories
- An introduction to \(\Gamma\)-convergence
- Heterogeneous thin films of martensitic materials
- Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A theory of thin films of martensitic materials with applications to microactuators
- Quasi-convexity and the lower semicontinuity of multiple integrals
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- Weakly Differentiable Functions
- 3D-2D asymptotic analysis of an optimal design problem for thin films
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Nonlinear problems of elasticity
- Direct methods in the calculus of variations
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