Vector variational problems and applications to optimal design
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Publication:3365402
DOI10.1051/cocv:2005010zbMath1089.49022OpenAlexW2096569478MaRDI QIDQ3365402
Publication date: 23 January 2006
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2005__11_3_357_0
Effective constitutive equations in solid mechanics (74Q15) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
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- Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field
- Optimal design in two-dimensional conductivity for a general cost depending on the field
- Fine phase mixtures as minimizers of energy
- The relaxation of a double-well energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Gradient Young measures generated by sequences in Sobolev spaces
- Energy functionals depending on elastic strain and chemical composition
- Parametrized measures and variational principles
- Constrained envelope for a general class of design problems
- Relaxation of functionals involving homogeneous functions and invariance of envelopes
- Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals
- Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing.
- Explicit computation of the relaxed density coming from a three-dimensional optimal design problem
- Relaxation of some functionals of the calculus of variations
- The two-well problem in three dimensions
- General theorems on semicontinuity and on convergence with a functional
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Relaxation of some multi-well problems
- Optimal Design in 2-D Conductivity for Quadratic Functionals in the Field
- Some Open Problems in Elasticity
- Optimal design and relaxation of variational problems, II
- Remarks on Chacon's Biting Lemma
- Constrained quasiconvexification of the square of the gradient of the state in optimal design
- Quasiregular mappings and Young measures
- Variational Methods in Nonlinear Elasticity
- Nonlinear problems of elasticity
- Direct methods in the calculus of variations
- Shape optimization by the homogenization method