A new peridynamic formulation with shear deformation for elastic solid

authored by: Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
Abstract: We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local model and non-local model, the bond force vector is derived. A new damage rule of maximal deviatoric bond strain for elastic brittle fracture is proposed in order to account for both the tensile damage and shear damage. 2D and 3D numerical examples are tested to verify the accuracy of the current peridynamics. The new damage rule is applied to simulate the propagation of Mode I, II and III cracks.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Bauhaus-Universität Weimar
Tongji University
Ton Duc Thang University
Type: Article
Journal: Journal of Micromechanics and Molecular Physics
Volume: 1
No. of pages: 24
Publication date: 23.08.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanics of Materials, Ceramics and Composites, Polymers and Plastics, Atomic and Molecular Physics, and Optics
Electronic version(s): http://arxiv.org/pdf/1608.00438 (Access: Open)
https://doi.org/10.1142/S2424913016500090 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{f3f7e9da83c343079a2fea10e54e6b39,
title = "A new peridynamic formulation with shear deformation for elastic solid",
abstract = "We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local model and non-local model, the bond force vector is derived. A new damage rule of maximal deviatoric bond strain for elastic brittle fracture is proposed in order to account for both the tensile damage and shear damage. 2D and 3D numerical examples are tested to verify the accuracy of the current peridynamics. The new damage rule is applied to simulate the propagation of Mode I, II and III cracks.",
keywords = "cond-mat.soft, cond-mat.mtrl-sci, Mode III crack, Brittle fracture, Shear deformation, Mode II crack, Shear damage, Dual-horizon, Mode I crack, Horizon variable",
author = "Huilong Ren and Xiaoying Zhuang and Timon Rabczuk",
note = "Funding Information: The authors acknowledge the supports from the European Union through the ERC grant for COMBAT project and IIF-HYDROFRAC (623667), the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157) and the Ministry of Science and Technology of China (Grant No. SLDRCE14-B-28, SLDRCE14-B-31).",
year = "2016",
month = aug,
day = "23",
doi = "10.1142/S2424913016500090",
language = "English",
volume = "1",
journal = "Journal of Micromechanics and Molecular Physics",
issn = "2424-9149",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",
}