Local minimizers and phase transformations

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 389-392

  Ball, J M ^a   James, R D ^b  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012226739     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. R Abeyaratne, C Chu, and R D James. To appear.
2. J M Ball. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. Anal., 63:337-403, 1977.
3. J M Ball, C Chu, and R D James. Hysteresis in martensitic phase transformations. Proceedings ICOMAT-95 Lausanne, submitted.
4. J M Ball, C Chu, and R D James. Metastability and martensite. Preprint.
5. J M Ball and R D James. In preparation.
6. J M Ball and R D James. Young measure disjoint sets of gradients and metastability. In preparation.
7. J M Ball and J E Marsden. Quasiconvexity at the boundary, positivity of the second variation, and elastic stability. Arch. Rat. Mech. Anal., 86:251-277, 1984.
8. O Bolza. Lectures on the Calculus of Variations. 1904, reprinted by Chelsea, New York, 1973.
9. C Chu. Thesis. University of Minnesota, 1993.
10. C Chu and R D James. Biaxial loading experiments on Cu-Al-Ni single crystals. In Experiments in Smart Materials and Structures, ASME AMD-Vol. 181, 61-69, 1993.
11. M R Hestenes. Calculus of Variations and Optimal Control Theory. Wiley, 1966.
12. R V Kohn and P Sternberg. Local minimizers and singular perturbations. Proc. Royal Soc. Edinburgh, 111A:69-84, 1989.
13. N G Meyers. Quasi-convexity and lower semicontinuity of multiple variational integrals of any order. Trans. Amer. Math. Soc., 119:225-249, 1965.
14. C B Morrey. Multiple Integrals in the Calculus of Variations. Springer, 1966.
15. V Šverák. Rank-one convexity does not imply quasiconvexity. Proc. Royal Soc. Edinburgh, 120A:185-189, 1992.