A concise derivation of membrane theory from three-dimensional nonlinear elasticity

David Steigmann (1)

1 Department of Mechanical Engineering [Berkeley]

Membrane theory may be regarded as a special case of the Cosserat theory of elastic surfaces, or, alternatively, derived from three-dimensional elasticity theory via asymptotic or variational methods. Here we obtain membrane theory directly from the local equations and boundary conditions of the three-dimensional theory

Domaines: Mécanique [physics.med-ph]

David Steigmann. A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Journal of Elasticity, 2009, 97 (1), pp.97-101. ⟨hal-00773265⟩