Plate Shell Structure Elastoplastic Parallel Finite Element Method

With the development of science and technology, numerical simulation of structural mechanics becomes more and more complicated, exact and efficient, developing advanced numerical methods and efficient parallel techniques is required. In engineering field, especially in aviation, space flight and weapon fields, plates and shells are most common structures. In order to exactly simulate the mechanical behavior of these engineering structures, mechanics simulation of plates and shells is an important project.This paper includes the degenerated shell finite element, which degenerates from solid element and is appropriate for moderate thick shell, and the parallel algorithm. Firstly, finite element formats are detailedly deduced, 4-node and 8-node elastic-plastic degenerated shell finite element serial programs are developed. Secondly, preconditioning conjugate gradient method and its parallel algorithm are studied. On the basis of MPI parallel programming pattern, a program for multiprocessor about Jacobi preconditioning conjugate gradient parallel algorithm is developed. At last, several examples are analyzed to verify previous numerical methods and programs correct and parallel algorithm's efficiency.The results of this paper indicate that 8-node degenerated shell finite element has high precision and 4-node degenerated shell finite element has poor precision, especially for thin shell. For a cylinder which beared inertial load , When the number of processor is 1 to 11, the parallel efficiency of Jacobi preconditioning conjugate gradient parallel algorithm achieves 0.425-0.677, which indicates high parallel efficiency.