Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory

  • David J. Steigmann
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 516)


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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© CISM, Udine 2010

Authors and Affiliations

  • David J. Steigmann
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of CaliforniaBerkeleyUSA

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