A Bilinear Adaptive Phase Field Method for Modeling Failure of Brittle Materials

Abstract

The invention discloses a bilinear self-adaptive phase field method for simulating the failure of brittle materials, comprising: obtaining the material parameters required for the numerical simulation process through a uniaxial tension test, and creating a bilinear quadrilateral unit or a bilinear triangle unit, establish the control equation of the phase field model, establish the finite element numerical model and assign material parameters, boundary conditions and finite element grid to it, so as to solve the control equation to obtain the phase field distribution, and judge whether there is a unit that needs to be carried out automatically according to the phase field value. Adaptive division, if there is, solve the original load step again after the mesh is refined, otherwise solve the next step, so as to finally realize the accurate simulation of the crack growth process, crack growth direction and crack growth path of brittle materials under complex stress . Through the invention, the calculation efficiency of the phase field model is greatly improved; the simulation accuracy of the crack growth process is greatly improved, and a series of problems caused by the inability to divide the grid reasonably in the traditional model are solved.

Description

technical field [0001] The invention relates to the field of computational mechanics, in particular to a bilinear adaptive phase field method for simulating damage to brittle materials. Background technique [0002] As a new dispersion method based on finite elements, the phase field model has many advantages in simulating the fracture and failure of brittle materials. In recent years, it has been widely used in the analysis and research of various solid materials such as rocks, concrete, ceramics, and sea ice. One of the main tasks of the phase field model is to predict the crack propagation path of material damage. In order to achieve the accuracy of the simulation, it is necessary to finely divide the grid at the crack growth position. Significantly increase the amount of calculation and time consumption, and it is difficult to find a reasonable area for grid refinement when the crack propagation path is not clear by manual area division. The quality of grid division dire...

AI Technical Summary

Problems solved by technology

[0005] The present invention proposes a bilinear adaptive phase field method for simulating the failure of brittle materials, which is used to solve or at least partially solve the limitations of grid division and calculation efficiency of the phase field model when simulating the crack propagation of brittle materials

Images