Peridynamic theory of solid mechanics
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 …
continuous distribution of mass within a body and all internal forces are contact forces that …
State-of-the-art review on the progressive failure characteristics of geomaterials in peridynamic theory
XP Zhou, YT Wang - Journal of Engineering Mechanics, 2021 - ascelibrary.org
Peridynamic (PD) theory is an integral-type nonlocal continuum mechanics theory that
reformulates the equation of motion in local continuum mechanics as an integrodifferential …
reformulates the equation of motion in local continuum mechanics as an integrodifferential …
Dual‐horizon peridynamics
In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …
Meshfree methods: progress made after 20 years
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …
methods with considerable success. In addition, a significant amount of progress has been …
[HTML][HTML] A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
Y Wang, X Zhou, Y Wang, Y Shou - International Journal of Solids and …, 2018 - Elsevier
In this paper, a novel 3D conjugated bond-pair-based peridynamic model is proposed to
simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical …
simulate the initiation and propagation of cracks in brittle solids. In the proposed numerical …
Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics
The maximum tensile stress criterion and the Mohr-Coulomb criterion are incorporated into
the extended non-ordinary state-based peridynamics (NOSB-PD) to simulate the initiation …
the extended non-ordinary state-based peridynamics (NOSB-PD) to simulate the initiation …
Stability of peridynamic correspondence material models and their particle discretizations
SA Silling - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
Peridynamic correspondence material models provide a way to combine a material model
from the local theory with the inherent capabilities of peridynamics to model long-range …
from the local theory with the inherent capabilities of peridynamics to model long-range …
Hybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media
This paper presents a hybrid modeling approach for simulating hydraulic fracture
propagation in saturated porous media: ordinary state-based peridynamics is used to …
propagation in saturated porous media: ordinary state-based peridynamics is used to …
The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics
Y Wang, X Zhou, Y Shou - International Journal of Mechanical Sciences, 2017 - Elsevier
In this paper, crack propagation and coalescence behaviors in rock specimens containing
pre-existing open flaws under uniaxial compression are investigated using the novel …
pre-existing open flaws under uniaxial compression are investigated using the novel …
Non-ordinary state-based peridynamic analysis of stationary crack problems
MS Breitenfeld, PH Geubelle, O Weckner… - Computer Methods in …, 2014 - Elsevier
An implicit implementation of the non-ordinary state-based peridynamics formulation for
quasi-static linearly elastic solids is presented. Emphasis is placed on assessing the …
quasi-static linearly elastic solids is presented. Emphasis is placed on assessing the …