Xue Liang^1,2, Linjuan Wang^3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.3, pp. 2807-2834, 2024, DOI:10.32604/cmes.2024.046770

Abstract The peridynamics (PD), as a promising nonlocal continuum mechanics theory, shines in solving discontinuous problems. Up to now, various numerical methods, such as the peridynamic mesh-free particle method (PD-MPM), peridynamic finite element method (PD-FEM), and peridynamic boundary element method (PD-BEM), have been proposed. PD-BEM, in particular, outperforms other methods by eliminating spurious boundary softening, efficiently handling infinite problems, and ensuring high computational accuracy. However, the existing PD-BEM is constructed exclusively for bond-based peridynamics (BBPD) with fixed Poisson’s ratio, limiting its applicability to crack propagation problems and scenarios involving infinite or semi-infinite problems. In this paper, we address these limitations by… More >

M. Imachi, S. Tanaka^*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.1, pp. 17-17, 2019, DOI:10.32604/icces.2019.05896

Abstract The J-integral and the interaction integral method are employing for evaluating dynamics stress intensity factor, in ordinary state-based peridynamics. The governing equation of peridynamics is based on internal force that defined by particles interact each other over finite distances. The interaction each particle needs to be satisfied the newton third law. A lot of particles are required for getting high accuracy in peridynamic modeling. Therefore, it is required the efficient modeling such as local meshing in finite element modeling. However, when arrangement of particle with varying particle size and horizon sizes are locally used, the standard peridynamic equation is not… More >

Liwei Wu¹, Dan Huang^1,*, Yepeng Xu¹, Lei Wang¹

CMES-Computer Modeling in Engineering & Sciences, Vol.118, No.3, pp. 561-581, 2019, DOI:10.31614/cmes.2019.04347

Abstract Strain hardening and strain rate play an important role in dynamic deformation and failure problems such as high-velocity impact cases. In this paper, a non-ordinary state-based peridynamic model for failure and damage of concrete materials subjected to impacting condition is proposed, taking the advantages of both damage model and non-local peridynamic method. The Holmquist-Johnson-Cook (HJC) model describing the mechanical character and damage of concrete materials under large strain, high strain rate and high hydrostatic pressure was reformulated in the framework of non-ordinary state-based peridynamic theory, and the corresponding numerical approach was developed. The proposed model and numerical approach were validated… More >