A method to couple state-based peridynamics and finite element method for crack propagation problem

Guodong Fang; Shuo Liu; Maoqing Fu; Bing Wang; Zengwen Wu; Jun Liang

doi:10.1016/j.mechrescom.2019.01.005

A method to couple state-based peridynamics and finite element method for crack propagation problem

Guodong Fang, Shuo Liu^*, Maoqing Fu, Bing Wang, Zengwen Wu, Jun Liang

^*Corresponding author for this work

Institute of Advanced Structure Technology

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

A coupling method of the state-based Peridynamics and the finite element method (FEM) is proposed here to solve the problem of crack propagation. It has both the advantage of Peridynamics in solving discontinuous problems and the computational efficiency of FEM. The solution domain is partitioned into three regions: Peridynamic region, FEM region and coupling region. Crack propagation happens in the Peridynamic region. The remaining region is discretized by FEM. The coupling method is achieved in the following way: the Peridynamic particle is connected non-locally to all particles, i.e., Peridynamic particles and finite element nodes within its horizon, and the finite element node applies force upon all nodes around it. The accuracy and efficiency of the proposed method are verified in solving crack propagation problems.

Original language	English
Pages (from-to)	89-95
Number of pages	7
Journal	Mechanics Research Communications
Volume	95
DOIs	https://doi.org/10.1016/j.mechrescom.2019.01.005
Publication status	Published - Jan 2019

Keywords

Coupling
Crack propagation
Finite element method
State-based peridynamics
damage

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10.1016/j.mechrescom.2019.01.005

Cite this

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title = "A method to couple state-based peridynamics and finite element method for crack propagation problem",

abstract = "A coupling method of the state-based Peridynamics and the finite element method (FEM) is proposed here to solve the problem of crack propagation. It has both the advantage of Peridynamics in solving discontinuous problems and the computational efficiency of FEM. The solution domain is partitioned into three regions: Peridynamic region, FEM region and coupling region. Crack propagation happens in the Peridynamic region. The remaining region is discretized by FEM. The coupling method is achieved in the following way: the Peridynamic particle is connected non-locally to all particles, i.e., Peridynamic particles and finite element nodes within its horizon, and the finite element node applies force upon all nodes around it. The accuracy and efficiency of the proposed method are verified in solving crack propagation problems.",

keywords = "Coupling, Crack propagation, Finite element method, State-based peridynamics, damage",

author = "Guodong Fang and Shuo Liu and Maoqing Fu and Bing Wang and Zengwen Wu and Jun Liang",

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T1 - A method to couple state-based peridynamics and finite element method for crack propagation problem

AU - Fang, Guodong

AU - Liu, Shuo

AU - Fu, Maoqing

AU - Wang, Bing

AU - Wu, Zengwen

AU - Liang, Jun

PY - 2019/1

Y1 - 2019/1

N2 - A coupling method of the state-based Peridynamics and the finite element method (FEM) is proposed here to solve the problem of crack propagation. It has both the advantage of Peridynamics in solving discontinuous problems and the computational efficiency of FEM. The solution domain is partitioned into three regions: Peridynamic region, FEM region and coupling region. Crack propagation happens in the Peridynamic region. The remaining region is discretized by FEM. The coupling method is achieved in the following way: the Peridynamic particle is connected non-locally to all particles, i.e., Peridynamic particles and finite element nodes within its horizon, and the finite element node applies force upon all nodes around it. The accuracy and efficiency of the proposed method are verified in solving crack propagation problems.

AB - A coupling method of the state-based Peridynamics and the finite element method (FEM) is proposed here to solve the problem of crack propagation. It has both the advantage of Peridynamics in solving discontinuous problems and the computational efficiency of FEM. The solution domain is partitioned into three regions: Peridynamic region, FEM region and coupling region. Crack propagation happens in the Peridynamic region. The remaining region is discretized by FEM. The coupling method is achieved in the following way: the Peridynamic particle is connected non-locally to all particles, i.e., Peridynamic particles and finite element nodes within its horizon, and the finite element node applies force upon all nodes around it. The accuracy and efficiency of the proposed method are verified in solving crack propagation problems.

KW - Coupling

KW - Crack propagation

KW - Finite element method

KW - State-based peridynamics

KW - damage

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DO - 10.1016/j.mechrescom.2019.01.005

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VL - 95

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JO - Mechanics Research Communications

JF - Mechanics Research Communications

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A method to couple state-based peridynamics and finite element method for crack propagation problem

Abstract

Keywords

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