Relaxation of three solenoidal wells and characterization of extremal three-phase \(H\)-measures
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Publication:1041149
DOI10.1007/s00205-008-0204-7zbMath1176.49022OpenAlexW1969713575MaRDI QIDQ1041149
Mariapia Palombaro, Valery P. Smyshlyaev
Publication date: 30 November 2009
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-008-0204-7
Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Methods involving semicontinuity and convergence; relaxation (49J45) Crystals in solids (74N05)
Related Items (8)
On the two-state problem for general differential operators ⋮ Numerical Study of Microstructures in Multiwell Problems in Linear Elasticity ⋮ On scaling properties for two-state problems and for a singularly perturbed \(T_3\) structure ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ Mathematics Behind Microstructures: A Lead to Generalizations of Convexity ⋮ Rank-(n – 1) convexity and quasiconvexity for divergence free fields ⋮ Symmetric div-quasiconvexity and the relaxation of static problems ⋮ Dimension reduction for functionals on solenoidal vector fields
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