Simulation method for solving mechanics problem of continuum structure through multi-scale discrete entity elements

Abstract

The invention discloses a simulation method for solving the mechanics problem of a continuum structure through multi-scale discrete entity elements. A multi-scale discrete entity element model comprises a large ball area, a small ball area and a transition area, ball elements are connected through a spring system, and the spring system comprises an axial spring and tangential springs in two directions. On the basis of a continuous medium mechanics theory and with energy equivalence as a principle, an analytic relationship between a mesoscopic model parameter (spring stiffness) and a macroscopic elastic constant (elastic modulus and Poisson's ratio) is deduced. According to the method, the number of ball elements and springs can be effectively reduced, the calculation efficiency is improved, the discrete entity element method has more possibilities, and the method is suitable for large deformation, damage fracture, collapse damage and other complex mechanical simulation of structures or components.

Description

technical field [0001] The invention relates to a multi-scale discrete solid element method mechanical simulation method, which is used for solving strong nonlinear mechanical problems such as large deformation, damage fracture and collapse damage of structures or components, and belongs to the technical field of discrete element analysis. Background technique [0002] The discrete element method is a discontinuous numerical calculation method proposed by the American scholar Cundall in 1971. [1-2] , was originally used in analytical calculations for analyzing the motion of rock slopes. ([1]Cundall P A, Strack O D L.Adiscrete numerical model for granular assemblies[J].geotechnique,1979,29(1):47-65.[2]Cundall P A,Hart R D.Numerical modeling of discontinua[J ].Engineering computations,1992,9(2):101-113.) The basic principle of the discrete element method is: divide the research object into discrete units, and the units can be separated during the stress deformation and moveme...

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Problems solved by technology

[0005] Purpose of the invention: In view of the fact that the traditional discrete element method cannot simulate the continuum well, the existing discrete solid element method can carry out mechanical analysis on the simple continuum structure, but there are still large numbers of spherical elements, low computational efficiency

The invention provides a multi-scale discrete solid element method, based on the principle of energy equivalence, a multi-scale discrete solid element model is constructed, and the mesoscopic model parameters (spring stiffness) and macroscopic elastic constants (elastic modulus and Poisson's ratio) are deduced The analytical relationship between them can solve the problems of large number of spherical elements and low calculation efficiency in the calculation of complex structures with complex forces using the traditional discrete solid element method.

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