Elastic-plastic dynamic analysis of axisymmetric solids

Abstract This paper presents an application of isoparametric elements for the elastic-plastic dynamic analysis of shells of revolution. General isoparametric elements with curved sides are used in the finiic element discretization. These are capable of representing solids of revolution in the form of a layered system. Structures with complex geometries and sharp discontinuities may be studied. Solutions can be obtained for both thin and thick shells because the customary Kirchhoff-Love hypothesis is not invoked. Dynamic analysis is carried out by means of step-by-step integration, the program allowing for the use of any of the schemes belonging to the Newmark family of methods (with free parameters γ and β) and the Wilson and Farhoomand θ-method. Flow theory of plasticity is used in the inelastic range and either isotropic hardening or kinematic linear hardening may be adopted. The program can analyze axisymmetric structures subjected To axially symmetric loading as well as plane stress problems. Numerical examples presented include the dynamic analyses of a simply supported beam and two spherical caps.

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