Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations-Reference-Cited by-同舟云学术

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Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations

Published:2019-03-30 Issue:5 Volume:29 Page:2137-2184
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Rüland Angkana,Taylor Jamie M.^ORCID,Zillinger Christian

Funder

FP7 Ideas: European Research Council

AMS-Simons Travel Grant

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00332-019-09540-9.pdf

Reference57 articles.

1. Agostiniani, V., Blass, T., Koumatos, K.: From nonlinear to linearized elasticity via $$\Gamma $$ Γ -convergence: the case of multiwell energies satisfying weak coercivity conditions. Math. Models Methods Appl. Sci. 25(01), 1–38 (2015)

2. Bahouri, H., Chemin, J.-Y., Danchin, R.: Fourier Analysis and Nonlinear Partial Differential Equations, vol. 343. Springer, Berlin (2011)

3. Ball, J.M.: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Ration. Mech. Anal. 63(4), 337–403 (1976)

4. Ball, J.M.: Some open problems in elasticity. In: Newton, P., Holmes, P., Weinstein, A. (eds.) Geometry, Mechanics, and Dynamics, pp. 3–59. Springer, Berlin (2002)

5. Ball, J.M.: Mathematical models of martensitic microstructure. Mater. Sci. Eng. A 378(1–2), 61–69 (2004). European Symposium on Martensitic Transformation and Shape-Memory

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