Multiple natural states for an elastic isotropic material with polyconvex stored energy

Journal of Elasticity

Volumn 60, Issue 3, 2000, Pages 223-231

  Fosdick, Roger ^a   Royer Carfagni, Gianni ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Isotropic material; Nonlinear elasticity; Polyconvexity

Indexed keywords

EID: 0034973755     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010960902320     Document Type: Article

References (4)

1. J.M. Ball, Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63 (1977) 337-403.
2. J.M. Ball and J.E. Marsden, Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Arch. Rational Mech. Anal. 86 (1984) 251-277.
3. V.J. Mizel, On the ubiquity of fracture in nonlinear elasticity. J. Elasticity 52 (1999) 257-266.
4. A. Taheri, On critical points of functionals with polyconvex integrands. Preprint (2000).