Peridynamic theory of solid mechanics

SA Silling, RB Lehoucq - Advances in applied mechanics, 2010 - Elsevier
Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …

An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis

D Huang, G Lu, P Qiao - International Journal of Mechanical Sciences, 2015 - Elsevier
An extended bond-based peridynamic (PD) approach is presented for quasi-static
mechanical behavior and brittle failure analysis of materials and structures. A local artificial …

A peridynamic differential operator-based scheme for the extended bond-based peridynamics and its application to fracture problems of brittle solids

T Ni, M Zaccariotto, X Fan, Q Zhu, BA Schrefler… - European Journal of …, 2023 - Elsevier
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' …

An extended peridynamic approach for deformation and fracture analysis

D Huang, G Lu, C Wang, P Qiao - Engineering Fracture Mechanics, 2015 - Elsevier
An extended bond-based peridynamic approach is proposed for quantitative analysis of
elastic deformation and simulation of both quasi-static and dynamic crack propagation. A …

Peridynamic buildability analysis of 3D-printed concrete including damage, plastic flow and collapse

J Zhu, X Ren, M Cervera - Additive Manufacturing, 2023 - Elsevier
Without the restriction of formwork, 3D–printed concrete (3DPC) shows great advantages in
construction; for the same reason, it presents stability problems, which greatly affect its …

An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities

P Sheikhbahaei, F Mossaiby, A Shojaei - Computers & Mathematics with …, 2023 - Elsevier
In this paper an implicit peridynamic (PD) framework is devised for the solution of quasi-
static problems involving brittle and quasi-brittle fracture. A common way to deal with such …

Improved peridynamics approach for the progressive fracture of marine concrete

S Li, H Lu, X Huang, J Yang - Ocean Engineering, 2022 - Elsevier
Crack initiation and propagation in marine concrete play a significant role in the security and
durability of concrete in ocean construction. Peridynamics (PD), which reformulates classical …

Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics

X Zhou, Y Wang, X Xu - International Journal of Fracture, 2016 - Springer
The stress-based failure criterion is implemented into the non-ordinary state-based
peridynamic model. The non-ordinary state-based peridynamic model is developed to …

Simulating failure behavior of reinforced concrete T-beam under impact loading by using peridynamics

J Zheng, F Shen, X Gu, Q Zhang - International Journal of Impact …, 2022 - Elsevier
Peridynamics has been proven to be a promising method for investigating the damage and
failure behaviors of reinforced concrete structures due to its strong capacity in tackling …

Analyzing cyclic loading behavior of concrete structures: A peridynamic approach with softening models and validation

P Sheikhbahaei, F Mossaiby, A Shojaei - Theoretical and Applied Fracture …, 2023 - Elsevier
This study introduces a bond-based peridynamic (BB-PD) approach for analyzing concrete
structures under cyclic loading, with the aim of comprehensively addressing crack …