Geometrical Nonlinear Extension of Extended Bond-Based Peridynamic Model

被引：0
|
作者：
Zhu Q. [1 ,2 ]
Li W. [1 ,2 ]
You T. [1 ,2 ]
Cao Y. [1 ,2 ]
机构：
[1] Key Laboratory of the Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing
[2] College of Civil and Transportation Engineering, Hohai University, Nanjing
来源：
Tongji Daxue Xuebao/Journal of Tongji University | 2022年 / 50卷 / 04期
关键词：
Extended bond-based peridynamic (XPD) model; Geometrical nonlinearity; Large deformation; Polar decomposition;
D O I：
10.11908/j.issn.0253-374x.22077
中图分类号：
学科分类号：
摘要：
The extended bond-based peridynamic (XPD) model resolved the limitation of fixed Poisson's ratio in the classical model for small deformation problems. In this paper, a novel implementation using the finite deformation formulation is proposed to deal with geometrical nonlinear problems. The rotation of solid is calculated by the polar decomposition of the deformation gradient tensor derived from the least square fitting of the local displacement field. Therefore, the deformed part of the bond deflection can be separated from the general displacements, and then correct large deformation predictions can be obtained by integrating each bond force of the deformed system. Several benchmark studies are presented to demonstrate the predictive ability of the proposed model. © 2022, Editorial Department of Journal of Tongji University. All right reserved.
引用
收藏
页码：455 / 462
页数：7
相关论文
共 39 条
  • [1] SILLING S., Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics Physics of Solids, 48, 1, (2000)
  • [2] SILLING S, ASKARI E., A meshfree method based on the peridynamic model of solid mechanics, Computers and Structures, 83, 17, (2005)
  • [3] SILLING S, LEHOUCQ R., Peridynamic theory of solid mechanics, Advances in Applied Mechanics, 44, (2010)
  • [4] ASKARI E, BOBARU F, LEHOUCQ R, Et al., Peridynamics for multiscale materials modeling, Journal of Physics: Conference Series, 125, (2008)
  • [5] MADENCI E, OTERKUS E., Peridynamic theory and its applications, (2014)
  • [6] TONG Y, SHEN W, SHAO J, Et al., A new bond model in peridynamics theory for progressive failure in cohesive brittle materials, Engineering Fracture Mechanics, 223, (2020)
  • [7] ZHANG H, QIAO P., Virtual crack closure technique in peridynamic theory, Computer Methods in Applied Mechanics and Engineering, 372, (2020)
  • [8] WANG Y, ZHOU X, SHOU Y., The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics, International Journal of Mechanical Sciences, 128, 129, (2017)
  • [9] SILLING S, EPTON M, WECKNER O, Et al., Peridynamic states and constitutive modeling, Journal of Elasticity, 88, 2, (2007)
  • [10] ZHOU X P, WANG Y T, SHOU Y D, Et al., A novel conjugated bond linear elastic model in bond-based peridynamics for fracture problems under dynamic loads, Engineering Fracture Mechanics, 188, (2018)
1234