Necessary and sufficient conditions for isotropic rank-one convex functions in dimension 2-Reference-Cited by-同舟云学术

Necessary and sufficient conditions for isotropic rank-one convex functions in dimension 2

Published:1995-04 Issue:1 Volume:39 Page:31-46
ISSN:0374-3535
Container-title:Journal of Elasticity
language:en
Short-container-title:J Elasticity

Author:

Aubert Gilles

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Link

http://link.springer.com/content/pdf/10.1007/BF00042440.pdf

Reference13 articles.

1. E. Acerbi and N. Fusco, Semicontinuity problems in the calculus of variations. Arch. Ration. Mech. Anal. 86 (1984).

2. J.J. Alibert and B. Dacorogna, An example of a quasiconvex function not polyconvex in dimension two. Arch. Ration. Mech. Anal. 117 (1992).

3. G. Aubert, On a counterexample of a rank-one convex function which is not polyconvex in the case n=2. Proc. Roy. Soc. Edim. A. 106 (1987).

4. G. Aubert, Quelques remarques sur les notions de 1-rang convexité et de polyconvexité en dimensions 2 et 3. Math. Model and Num. Anal. M 2 AN. Vol. 22, no1 (1988).

5. G. Aubert and R. Tahraoui, Sur la faible fermeture de certains ensembles de contraintes en elasticité non linéaire plane; Arch. Ration. Mech. Anal. 97 (1987).

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Morrey’s Conjecture for the Planar Volumetric-Isochoric Split: Least Rank-One Convex Energy Functions;Journal of Nonlinear Science;2022-08-24

2. Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands;Archive for Rational Mechanics and Analysis;2022-05-22

3. Stability of Classical Shock Fronts for Compressible Hyperelastic Materials of Hadamard Type;Archive for Rational Mechanics and Analysis;2022-01-10

4. Sharp Rank-One Convexity Conditions in Planar Isotropic Elasticity for the Additive Volumetric-Isochoric Split;Journal of Elasticity;2021-02-05

5. Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2019-06-11