Peridynamics review
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …
A comparative review of peridynamics and phase-field models for engineering fracture mechanics
Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …
discipline of engineering fracture mechanics. This review focuses on two promising …
[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 methods for nonlocal and fractional models
Partial differential equations (PDEs) are used with huge success to model phenomena
across all scientific and engineering disciplines. However, across an equally wide swath …
across all scientific and engineering disciplines. However, across an equally wide swath …
[HTML][HTML] A Peridynamic-enhanced finite element method for Thermo–Hydro–Mechanical coupled problems in saturated porous media involving cracks
In this paper, a peridynamic-enhanced finite element formulation is introduced for the
numerical simulation of thermo–hydro–mechanical coupled problems in saturated porous …
numerical simulation of thermo–hydro–mechanical coupled problems in saturated porous …
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen--Cahn equation
The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by
replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the …
replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the …
Analysis and approximation of nonlocal diffusion problems with volume constraints
Q Du, M Gunzburger, RB Lehoucq, K Zhou - SIAM review, 2012 - SIAM
A recently developed nonlocal vector calculus is exploited to provide a variational analysis
for a general class of nonlocal diffusion problems described by a linear integral equation on …
for a general class of nonlocal diffusion problems described by a linear integral equation on …
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 …
Peridynamic thermal diffusion
This study presents the derivation of ordinary state-based peridynamic heat conduction
equation based on the Lagrangian formalism. The peridynamic heat conduction parameters …
equation based on the Lagrangian formalism. The peridynamic heat conduction parameters …
A coupled mechano-chemical peridynamic model for pit-to-crack transition in stress-corrosion cracking
We introduce a coupled mechano-chemical peridynamic model to describe stress corrosion
cracking. In this model, two mechanisms, stress-dependent anodic dissolution and diffuse …
cracking. In this model, two mechanisms, stress-dependent anodic dissolution and diffuse …