Abstract
These notes consist of two main parts. In the first are described some recent results on the practical adaptation of polyconvexity criteria to models of nonlinearly elastic isotropic and transversely isotropic solids. The second part is concerned with the application of strong ellipticity in three dimensions to the construction of two-dimensional models for the combined bending and stretching of thin plates.
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Steigmann, D.J. (2010). Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory. In: Schröder, J., Neff, P. (eds) Poly-, Quasi- and Rank-One Convexity in Applied Mechanics. CISM International Centre for Mechanical Sciences, vol 516. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0174-2_8
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