Equilibrium energies of layered composite and two-phase media under periodic and zero boundary conditions on displacement fields

DOI10.1007/S10958-023-06255-XOpenAlexW4319039946MaRDI QIDQ2699829

Viktor G. Osmolovskii

Publication date: 19 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06255-x

zbMATH Keywords

strain energy densityuniquenesstwo-phase elastic mediumenergy functional minimizationequilibrium state existence

Mathematics Subject Classification ID

Random materials and composite materials (74A40) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74) Energy minimization in dynamical problems in solid mechanics (74H80)

Cites Work

• Phase transitions in two-phase media with the same moduli of elasticity
• The volume fraction of one of the phases in equilibrium two-phase elastic medium
• Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
• Shape optimization by the homogenization method

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