Analyse non lineaire de coques minces elastoplastiques avec I' element DKT12
Keywords:
thin shell, DKT/2 finite element, large displacements, elasto-plasticityAbstract
A shell element called DKT/2 is presented for non-linear analysis which includes large displacements and elasto-plasticity. The triangular facet shell element with 12 degrees of freedom is obtained by the superposition of the membrane element TJ (or CST) and the Discrete Kirchhoff plate bending element DKT6. An Updated Lagrangian Formulation at each Iteration (ULFI) greatly simplifies the non-linear analysis by considering the global deformation as a superposition of a rigid body motion and a movement involving small displacements and rotations. A global criterion is taken into account to consider the elastoplastic behaviour. The non-linear systems of equations are solved by using various algorithms and strategies based on the Newton method. Several examples are presented to demonstrate the efficiency and precision of the formulation and algorithms.
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