In the present study, higher order shear and normal deformable plate theory is developed for
analysis of incompressible functionally graded rectangular thick plates. Also, The effect of …

In this paper, a consistent finite-strain plate theory for incompressible hyperelastic materials
is formulated. Within the framework of nonlinear elasticity and through a variational …

We derive the effective energy density of thin membranes of liquid crystal elastomers as the
Γ Γ-limit of a widely used bulk model. These membranes can display fine-scale features both …

We derive a two-dimensional model for elastic plates as a Γ-limit of three-dimensional
nonlinear elasticity with the constraint of incompressibility. The resulting model describes …

We study the equilibria of a photoresponsive nematic elastomer ribbon within a continuum
theory that builds upon the statistical mechanics model put forward by Corbett and Warner …

We discuss the derivation of two-dimensional models for thin elastic sheets as Γ-limits of
three-dimensional nonlinear elasticity. We briefly review recent results and present an …

The relaxation of nonconvex variational problems involving free energy densities W which
depend on the deformation gradient is frequently characterized by a hierarchy of structures …

In this paper, we derive nonlinearly elastic membrane plate models for hyperelastic
incompressible materials using Γ-convergence arguments. We obtain an integral …

We rigorously derive the von Kármán shell theory for incompressible materials, starting from
the 3D nonlinear elasticity. In case of thin plates, the Euler-Lagrange equations of the …

We derive a two-dimensional model for elastic plates as a Γ-limit of three-dimensional
nonlinear elasticity with the constraint of incompressibility. The energy density of the …