TY - JOUR
T1 - A peridynamic differential operator-based scheme for the extended bond-based peridynamics and its application to fracture problems of brittle solids
AU - Ni, Tao
AU - Zaccariotto, Mirco
AU - Fan, Xuanmei
AU - Zhu, Qizhi
AU - Schrefler, Bernhard A.
AU - Galvanetto, Ugo
N1 - Funding Information:
B.A. Schrefler gratefully acknowledges the support of the Technische Universität München - Institute for Advanced Study.
Funding Information:
U. Galvanetto and M. Zaccariotto would like to acknowledge the support they received from MIUR under the research project PRIN2017-DEVISU and from University of Padua under the research project BIRD2020 NR.202824/20 .
Funding Information:
This research is also financially supported by the National Natural Science Foundation of China , Grant 42207226 ; Funds for National Science Foundation for Outstanding Young Scholars , Grant 42125702 ; Funds for Creative Research Groups of China , Grant 41521002 ; Natural Science Foundation of Sichuan Province , Grant 2022NSFSC0003 ; State Key Laboratory of Geohazard Prevention and Geoenvironment Protection Independent Research Project SKLGP2021Z026 .
Funding Information:
T. Ni would like to acknowledge the support he received from MIUR, Italy under the research project PRIN2017-DEVISU .
Publisher Copyright:
© 2022 Elsevier Masson SAS
PY - 2023/1/1
Y1 - 2023/1/1
N2 - In order to describe the mechanical behavior of solids with arbitrary Poisson's ratio values, an extended bond-based peridynamic (XBB-PD) model was developed in the authors’ previous work by taking both the bond longitudinal and tangential deformations into account. In the current work, a peridynamic differential operator based implementation scheme is presented for the XBB-PD model. An energy-based failure criterion is introduced to describe the failure and crack propagation in brittle solids. First, two elastic examples are solved to validate the proposed approach. The m- and δ- convergence studies are carried out. Subsequentially, several numerical examples of crack propagation problems are simulated. All simulations show good agreement with the results reported in the references, demonstrating the flexibility and capabilities of the developed approach in the simulation of crack propagation in brittle solids.
AB - In order to describe the mechanical behavior of solids with arbitrary Poisson's ratio values, an extended bond-based peridynamic (XBB-PD) model was developed in the authors’ previous work by taking both the bond longitudinal and tangential deformations into account. In the current work, a peridynamic differential operator based implementation scheme is presented for the XBB-PD model. An energy-based failure criterion is introduced to describe the failure and crack propagation in brittle solids. First, two elastic examples are solved to validate the proposed approach. The m- and δ- convergence studies are carried out. Subsequentially, several numerical examples of crack propagation problems are simulated. All simulations show good agreement with the results reported in the references, demonstrating the flexibility and capabilities of the developed approach in the simulation of crack propagation in brittle solids.
KW - Brittle solids
KW - Extended bond-based peridynamics
KW - Fracture analysis
KW - Peridynamic differential operator
KW - Strain decomposition
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U2 - 10.1016/j.euromechsol.2022.104853
DO - 10.1016/j.euromechsol.2022.104853
M3 - Article
AN - SCOPUS:85141910669
SN - 0997-7538
VL - 97
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
M1 - 104853
ER -