Elastic-Plastic Analysis of Axisymmetric Solids Using Isoparametric Finite Elements.

Application of special isoparametric finite elements is presented for elastic-plastic analysis of shells of revolution. General isoparametric elements are selected which in the form of a layered system are capable of representing a solid of revolution. The customary Kirchhoff-Love hypothesis is not invoked and the solutions therefore apply both to thin and thick shells of revolution. Sharp discontinuities in geometry, circumferential ribs andor grooves, as well as cellular walls, may be studied. A special feature is the development of an element permitting sliding at the element interfaces with or without friction. The illustrative examples include a pressure vessel with a circumferential crack in the wall thickness, a circular plate consisting of two discs which can slide along their interface, and shrink-fit of two thick-walled circular cylinders. The solutions are limited to axially symmetric problems. Flow theory of plasticity is used in the inelastic range.