Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices
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Publication:3416740
DOI10.1051/cocv:2005036zbMath1108.49010OpenAlexW1974345769WikidataQ59902280 ScholiaQ59902280MaRDI QIDQ3416740
Carl-Friedrich Kreiner, Johannes Zimmer
Publication date: 22 January 2007
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2006__12_2_253_0
Methods involving semicontinuity and convergence; relaxation (49J45) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
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On the condition of tetrahedral polyconvexity, arising from calculus of variations ⋮ Upper semicontinuity of the lamination hull
Uses Software
Cites Work
- Unexpected solutions of first and second order partial differential equations
- On functional separately convex hulls
- A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials.
- Rank-one convex hulls in \(\mathbb R^{2\times 2}\)
- On the Computation of the Rank-One Convex Hull of a Function
- Rank-one convexity does not imply quasiconvexity
- Numerical Computation of Rank-One Convex Envelopes
- Studying Nonlinear pde by Geometry in Matrix Space
- Rigidity for the four gradient problem
- Direct methods in the calculus of variations
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