Abstract
Projective-iterative version of finite element method has developed for numerical simulation of the stress-strain state of nonhomogeneous shell-type structures (shells with openings). Plastic deformation of the material is taken into account when using the method of elastic solutions that reduce the solution of elastoplastic problems to solution of elastic problems. Developed PIV’s significant savings of computer calculation has been compared with the calculation on a fine mesh of traditional FEM. Designed scheme allows analysis of the mutual influence of openings. Analysis of the transformation zone of plastic deformation is developed. For definiteness, the cylindrical shell structures with several rectangular openings are considered.
Highlights
Structures in the form of nonhomogeneous shells are common in the priority areas of modern technology
Founded on the projective-iterative versions (PIV) finite element method (FEM) procedure, a program in C++ language has been written for the stress-strain state analysis of cylindrical shell with three rectangular openings
The PIV FEM has been implemented on eight double-folded FE meshes of rectangular Hermitian elements
Summary
Structures in the form of nonhomogeneous shells are common in the priority areas of modern technology (aviation, space technology, oil and gas industry). Openings characterize the design features and damage defects that appear in various cases of exploitation or in manufacturing processes. They reduce to concentration of stresses [1,2]. The fields of stresses and strains that arise near openings’ edges have the mutual influence on each other. This influence depends on the openings’ shapes, dimensions, quantities, and spacings. The plastic deformation zones, stress distributions and loads that correspond to the start of merging and further transformation in the course of loading make it possible to predict load-carrying ability of shell-type structures with openings. Let us consider shell-type structures in view of cylindrical shell with rectangular openings
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