On the Computation of the Rank-One Convex Hull of a Function
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Publication:2706468
DOI10.1137/S1064827599362028zbMath0989.49015MaRDI QIDQ2706468
Ernesto Aranda, Pablo Pedregal
Publication date: 19 March 2001
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Numerical methods based on nonlinear programming (49M37) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15)
Related Items (9)
AN ESTIMATE ON THE APPROXIMATION OF THE RANK-ONE CONVEX HULL OF A FUNCTION ⋮ A numerical iterative scheme for computing finite order rank-one convex envelopes ⋮ Approximation in multiscale modelling of microstructure evolution in shape-memory alloys ⋮ A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials. ⋮ An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems ⋮ A partial differential equation for the rank one convex envelope ⋮ The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity ⋮ Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices ⋮ Deriving new evolution equations for microstructures via relaxation of variational incremental problems
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