A finite element procedure for the large deformation dynamic response of axisymmetric solids

Abstract A computational procedure for the large deformation dynamic response of solids is presented. The underlying mechanics, the constitutive theories of interest, the spatial discretization, and the time integration scheme are each discussed. The mechanics is carried out in the current configuration described by a fixed spatial coordinate system and using the Cauchy stress. Elastic, elastoplastic, viscoelastic and curshable foam constitutive theories are examined. A bilinear isoparametric quadrilateral finite element is employed for the spatial discretization. An explicit central difference time integration scheme and artificial viscosity are used to compute the response. The results of five computations are presented and compared with either experimental results or exact answers.

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