ON INFINITESIMAL STABILITY AND HOMOGENIZATION OF LINEARLY ELASTIC PERIODIC COMPOSITES

DOI10.1142/S0218202500000616zbMath1055.74003MaRDI QIDQ2764900

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Publication date: 2000

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

infinitesimal bucklingellipticity\(H\)-measures

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Existence theories in calculus of variations and optimal control (49J99)

Cites Work

• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• Quasiconvexity at the boundary, positivity of the second variation and elastic stability
• Homogenization of nonconvex integral functionals and cellular elastic materials
• On the traction problem of dead loading in linear elasticity with initial stress
• Homogenization of free discontinuity problems
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization

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