Variable calculation domain Lagrange integral point finite element numerical simulation system and method

Abstract

The invention discloses a variable calculation domain Lagrange integral point finite element numerical simulation system and method, and the system comprises a preprocessing module which is used for sequentially generating a calculation domain, a calculation grid, a geometric model and a physical model according to the data inputted by a user, and storing the numerical model data; a solving modulewhich is used for receiving the numerical model data, establishing a unit matrix and a large sparse total stiffness matrix according to the input geometric physical parameters and boundary conditions, performing total numerical calculation and local calculation, and storing and outputting a simulation analysis result; and a post-processing module which is used for drawing a cloud chart and a curve chart and storing text data according to the output simulation analysis result. According to the method, large deformation problems such as landslide can be analyzed, the calculation precision and the calculation efficiency can be remarkably improved, and the storage cost is reduced.

Description

technical field [0001] The invention relates to the technical field of numerical simulation, in particular to a Lagrangian integral point finite element numerical simulation system and method of a variable calculation domain. Background technique [0002] Existing large deformation numerical simulation methods mainly include discrete element method (DEM), smoothed particle hydrodynamics (SPH), particle finite element method (PFEM), material point method (MPM) and Lagrangian integral point finite element method. (FEMLIP) and so on. [0003] Discrete element method (DEM) can be used to solve large deformation problems, but this method needs to track each particle and perform contact detection at each calculation step, which consumes a lot of computing resources and storage costs. At the same time, the method is difficult to verify the macro and micro parameters. Smoothed Particle Hydrodynamics (SPH) can be used to simulate large deformations of fluids, but it suffers from sp...

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Problems solved by technology

[0003] Discrete element method (DEM) can be used to solve large deformation problems, but this method needs to track each particle and perform contact detection at each calculation step, which consumes a lot of computing resources and storage costs

At the same time, this method also has the difficulty of verifying the macro and micro parameters

Smoothed Particle Hydrodynamics (SPH) can be used to simulate large deformations of fluids, but there are problems of spatial instability and difficulty in dealing with complex boundaries

Particle finite element method (PFEM) can be used for fluid-solid coupling large deformation problems, but when performing large deformation simulations, a new mesh needs to be rebuilt, which requires high computational capacity

The material point method (MPM) can be used for large deformation problems such as debris flow, but the use of linear shape functions will cause significant numerical errors, and the use of high-order shape functions will cause greater computational costs

The finite element of Lagrangian integration point (FEMLIP) can simulate large deformation problems and track time-related material variables. However, in order to meet the conditions of the integration point of the classical finite element method, this method artificially introduces virtual particles into the calculation domain, resulting in calculation increases the amount, causes an ill-conditioned matrix, and leads to excessive plasticization of the free surface of the material

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