Material information mapping method for material point method for large deformation response of structure

Abstract

The invention provides a material information mapping method of a material point method for large deformation response of a structure. The material information mapping method comprises the following steps: establishing a topological relation between a material point volume domain and a background grid by tracking the change of the material point volume domain in the large deformation process of the structure; dividing the volume domain of the material point into a plurality of volume sub-domains by the background grid node, respectively arranging virtual mapping material points in the centersof the volume sub-domains of the material point, and directly determining the material information on the virtual mapping material points by the material information on the material points; and mapping of mass, momentum, physical strength, surface force, stress and other material information of the background grid nodes is realized based on the virtual mapping material points. The material information mapping method can accurately give the material point method, can effectively eliminate the grid crossing error of the material point method when solving the large deformation problem of the structure, and solves a problem that the solving precision of the material point method is not high enough when solving the large deformation dynamic response of the structure.

Description

technical field

[0001] The invention relates to the technical field of structural dynamics, in particular to a material information mapping method of a material point method used for large deformation responses of structures. Background technique

[0002] The material point method is a particle-type gridless algorithm, which consists of a series of Lagrangian material points to discretely solve the domain, and uses the Euler background grid to cover the entire solution domain; among them, the material points carry all the material information of the material, It includes historical variables such as position, velocity, momentum, stress and strain, and moves with the movement of objects; the linear interpolation shape function in the finite element method is used to realize the information exchange between each material point and the background grid node, and then the information is exchanged on the background grid. The solution of spatial derivatives and governing equations ...

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