TY - JOUR

T1 - A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements

AU - Zhang, Yiming

AU - Yang, Xueqing

AU - Wang, Xueya

AU - Zhuang, Xiaoying

N1 - Funding Information: The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (NSFC) (51809069), the Hebei Province Natural Science Fund E2019202441 and the 2019 Foreign Experts Plan of Hebei Province.

PY - 2021/6

Y1 - 2021/6

N2 - Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.

AB - Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.

KW - Bond-based peridynamic

KW - Finite element framework

KW - Non-uniform horizon

KW - Nonlocal enhancement

KW - Novel failure criterion

UR - http://www.scopus.com/inward/record.url?scp=85101909840&partnerID=8YFLogxK

U2 - 10.1016/j.tafmec.2021.102930

DO - 10.1016/j.tafmec.2021.102930

M3 - Article

AN - SCOPUS:85101909840

VL - 113

JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

SN - 0167-8442

M1 - 102930

ER -