Fourth order phase-field model for local max-ent approximants applied to crack propagation

Fatemeh Amiri; Daniel Millán; Marino Arroyo; Mohammad Silani; Timon Rabczuk

doi:10.1016/j.cma.2016.02.011

Fourth order phase-field model for local max-ent approximants applied to crack propagation

Fatemeh Amiri, Daniel Millán, Marino Arroyo, Mohammad Silani, Timon Rabczuk

College of Engineering

Research output: Contribution to journal › Article

26 Citations (Scopus)

Abstract

We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation.

Original language	English
Journal	Computer Methods in Applied Mechanics and Engineering
DOIs	https://doi.org/10.1016/j.cma.2016.02.011
Publication status	Accepted/In press - 2016

Keywords

Fourth order phase-field model
Fracture
Local maximum entropy
Second order phase-field model

ASJC Scopus subject areas

Computer Science Applications
Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)

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10.1016/j.cma.2016.02.011

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Amiri, F., Millán, D., Arroyo, M., Silani, M., & Rabczuk, T. (Accepted/In press). Fourth order phase-field model for local max-ent approximants applied to crack propagation. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2016.02.011

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AU - Rabczuk, Timon

PY - 2016

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AB - We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation.

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