Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Suggested readings
J.M. Ball: Convexity conditions and existence theorems in non-linear elasticity. Archive of Rational Mechanics and Analysis, vol. 63, 337–403 (1977).
J.M. Ball: Some Open Problems in Elasticity. Geometry, Mechanics and Dynamics, Springer, New York, 3–59 (2002).
D. Caillerie, A. Mourad and A. Raoult: Discrete homogenization in graphene sheet modeling, J. Elas., 84, 33–68, (2006).
A. De Simone and G. Dolzmann: Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies. Archive for Rational Mechanics and Analysis, vol. 161, 181–204 (2002).
J. Schröder and P. Neff: Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions, International Journal of Solids and Structures, vol. 40, 401–445 (2003).