TY - JOUR
T1 - Fourth order phase-field model for local max-ent approximants applied to crack propagation
AU - Amiri, Fatemeh
AU - Millán, Daniel
AU - Arroyo, Marino
AU - Silani, Mohammad
AU - Rabczuk, Timon
N1 - Funding Information:
Fatemeh Amiri and Timon Rabczuk would like to thank the DAAD Programme des Projektbezogenen Personenaustauschs, for financial support for trip to Spain, and the Free State of Thuringia and Bauhaus Research School for financial support during the duration of this project.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
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.
KW - Fourth order phase-field model
KW - Fracture
KW - Local maximum entropy
KW - Second order phase-field model
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U2 - 10.1016/j.cma.2016.02.011
DO - 10.1016/j.cma.2016.02.011
M3 - Article
AN - SCOPUS:84960154711
VL - 312
SP - 254
EP - 275
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -