Quasiconvex envelopes in nonlinear elasticity

  • Annie Raoult
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 516)


We give several examples of modeling in nonlinear elasticity where a quasiconvexification procedure is needed. We first recall that the three-dimensional Saint Venant-Kirchhoff energy fails to be quasiconvex and that its quasiconvex envelope can be obtained by means of careful computations. Second, we turn to the mathematical derivation of slender structure models: an asymptotic procedure using T-convergence tools leads to models whose energy is quasiconvex by construction. Third, we construct an homogenized quasiconvex energy for square lattices.


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© CISM, Udine 2010

Authors and Affiliations

  • Annie Raoult
    • 1
  1. 1.Laboratoire MAP5Université Paris DescartesParisFrance

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