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 …
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials
Failure trajectories, probable failure zones, and damage indices are some of the key
quantities of relevance in brittle fracture mechanics. High-fidelity numerical solvers that …
quantities of relevance in brittle fracture mechanics. High-fidelity numerical solvers that …
A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics
Abstract Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining
nonlocal and local modeling descriptions of a given system into a unified coupled …
nonlocal and local modeling descriptions of a given system into a unified coupled …
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems
Multiscale modeling is an effective approach for investigating multiphysics systems with
largely disparate size features, where models with different resolutions or heterogeneous …
largely disparate size features, where models with different resolutions or heterogeneous …
A hybrid meshfree discretization to improve the numerical performance of peridynamic models
Efficient and accurate calculation of spatial integrals is of major interest in the numerical
implementation of peridynamics (PD). The standard way to perform this calculation is a …
implementation of peridynamics (PD). The standard way to perform this calculation is a …
A data-driven peridynamic continuum model for upscaling molecular dynamics
Nonlocal models, including peridynamics, often use integral operators that embed
lengthscales in their definition. However, the integrands in these operators are difficult to …
lengthscales in their definition. However, the integrands in these operators are difficult to …
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics
Coupling peridynamics based computational tools with those using classical continuum
mechanics can be very beneficial, because it can provide a means to generate a …
mechanics can be very beneficial, because it can provide a means to generate a …
Multi-adaptive coupling of finite element meshes with peridynamic grids: robust implementation and potential applications
Coupling of methods based on the classical continuum mechanics (CCM), with peridynamic
(PD) models is a recent hot topic in the realm of computational mechanics. In the coupled …
(PD) models is a recent hot topic in the realm of computational mechanics. In the coupled …
[图书][B] Nonlocal Modeling, Analysis, and Computation: Nonlocal Modeling, Analysis, and Computation
Q Du - 2019 - SIAM
Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
Multi-adaptive spatial discretization of bond-based peridynamics
Peridynamic (PD) models are commonly implemented by exploiting a particle-based method
referred to as standard scheme. Compared to numerical methods based on classical …
referred to as standard scheme. Compared to numerical methods based on classical …