Bulletin of JSME · 1974 · 20 citations · 0 references
EngineeringComputational EngineeringMechanical EngineeringComputational Structural AnalysisFinite Element AnalysisFinite Element MethodsBending Of BeamsComputational Solid MechanicsElasticity TheorySolid Mechanics ApplicationsStructural Finite Element AnalysisDiaphragm MechanicsFinite Deformation MechanicsFinite Difference SchemesFinite Element Deformation AnalysisFinite Element ModelingHydrostatic PressureStiffnessTriangular Elements
An incremental finite element method of the large elastic-plasic deformation of non-axisymmetric metal diaphragms which are edge-clamped and bulged by hydrostatic pressure has been formulated. The diaphragm is divided into a number of flat triangular elements and the behavior of a typical element is described in terms of the displacements of its nodes. The authors derive stiffness matrices, taking account of effects of shape change on the equilibrium equations, from a total differential of the equivalent nodal forces. In order to check the theory, numerical calculations were carried out for the bulging of a circular diaphragm under hydrostatic pressure. Theoretical results were in reasonable agreement with experiments for aluminium sheet and also with numerical solutions by means of a finite difference method.