Coupling of finite element method with material point method by local multi-mesh contact method

Lian, Yuan; Zhang, Xiong; Liu, Y.

doi:10.1016/j.cma.2011.07.014

Cited by 83 publications

(32 citation statements)

References 42 publications

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“…The idea is to reduce the reaction force exerted by the face in the evaluation of F p in Eq. (24). In particular, a reduction of the contribution of ∇ u g (x p ) to the deformation gradient F p is obtained.…”

Section: Receding Contact Force Correctionmentioning

confidence: 99%

“…With such a feature, the interface between the MPM body and the FEM body is automatically tracked. No MPM particle can penetrate a FEM element, and a great advantage in terms of computational time is obtained, since time consuming contact search algorithms like the ones adopted in [24,13] are eliminated. All the algorithms proposed in this work are implemented in the in-house finite element library FEMuS [1].…”

Section: Introductionmentioning

confidence: 99%

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Monolithic coupling of the implicit material point method with the finite element method

Aulisa

Capodaglio

2019

Computers & Structures

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A monolithic coupling between the material point method (MPM) and the finite element method (FEM) is presented. The MPM formulation described is implicit, and the exchange of information between particles and background grid is minimized. The reduced information transfer from the particles to the grid improves the stability of the method. Once the residual is assembled, the system matrix is obtained by means of automatic differentiation. In such a way, no explicit computation is required and the implementation is considerably simplified. When MPM is coupled with FEM, the MPM background grid is attached to the FEM body and the coupling is monolithic. With this strategy, no MPM particle can penetrate a FEM element, and the need for computationally expensive contact search algorithms used by existing coupling procedures is eliminated. The coupled system can be assembled with a single assembly procedure carried out element by element in a FEM fashion. Numerical results are reported to display the performances and advantages of the methods here discussed.

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Section: Receding Contact Force Correctionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Monolithic coupling of the implicit material point method with the finite element method

Aulisa

Capodaglio

2019

Computers & Structures

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“…In order to consider large rotational deformations, the stresses of material particles at time t k+1/2 are updated by using the Jaumann (corotational) stress rates. 46…”

Section: Spatial Discretization By Materials Particlesmentioning

confidence: 99%

An adaptive material point method coupled with a phase‐field fracture model for brittle materials

Cheon

Kim

2019

Numerical Meth Engineering

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Summary In this study, a new adaptive method for crack propagation analysis is developed by using the material point method coupled with a phase‐field fracture model for brittle materials. A background grid of material particles is adaptively refined based on the amount of material damage to resolve the length scale in the phase‐field evolution equation. A division process of the material particles associated with the refined background cells is also performed to increase the resolution of solutions near the crack tip. The effectiveness and validity of the proposed method is assessed through several numerical examples for crack propagation in brittle materials.

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“…基于PIC方法, Sulsky 等人 [68] 提出MPM(material point method)数值方法. 张雄等人 [69,70] 对MPM法在爆炸与冲击问题中的应用进行了系统深入的研究 , 并开发了相应的 MPM3D计算程序.…”

Section: 格子质点类方法unclassified

Progress in high-resolution numerical simulation of explosion mechanics

Wang

Shu

2015

Chin. Sci. Bull.

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Coupling of finite element method with material point method by local multi-mesh contact method

Cited by 83 publications

References 42 publications

Monolithic coupling of the implicit material point method with the finite element method

Monolithic coupling of the implicit material point method with the finite element method

An adaptive material point method coupled with a phase‐field fracture model for brittle materials

Progress in high-resolution numerical simulation of explosion mechanics

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