A relaxation result in B V × L p for integral functionals depending on chemical composition and elastic strain

DOI10.3233/ASY-161383zbMath1386.74113arXiv1501.01580MaRDI QIDQ2953553

Graça Carita, Elvira Zappale

Publication date: 4 January 2017

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01580

zbMATH Keywords

relaxationconvexity-quasiconvexity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (3)

Relaxation of functionals with linear growth: interactions of emerging measures and free discontinuities ⋮ Relaxation for an optimal design problem inBD(Ω) ⋮ A note about weak \(\ast\) lower semicontinuity for functionals with linear growth in \(W^{1,1} \times L^1\)

Cites Work

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• Relaxation of certain integral functionals depending on strain and chemical composition
• On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
• Energy functionals depending on elastic strain and chemical composition
• Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
• Dimensional reduction for energies with linear growth involving the bending moment
• Lower semicontinuous envelopes in W^1,1×L^p

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