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 …
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 …
[HTML][HTML] Combining peridynamic and finite element simulations to capture the corrosion of degradable bone implants and to predict their residual strength
This paper proposes a computational framework to describe the biodegradation of
magnesium (Mg)-based bone implants. It is based on a sequential combination of two …
magnesium (Mg)-based bone implants. It is based on a sequential combination of two …
Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials
Efficiency has long been a bottleneck for peridynamics simulation as compared to the grid-
based methods. This paper proposes a super-fast peridynamic (SFPD) model for crack and …
based methods. This paper proposes a super-fast peridynamic (SFPD) model for crack and …
Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures
A novel structural health monitoring approach is developed by coupling the inverse finite
element method (iFEM) and peridynamic theory (PD) for real-time shape sensing analysis …
element method (iFEM) and peridynamic theory (PD) for real-time shape sensing analysis …
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 …
On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass
We test two peridynamic models and one phase field model against recent experimental
tests on dynamic fracture/crack branching in glass induced by impact. We find important …
tests on dynamic fracture/crack branching in glass induced by impact. We find important …
[HTML][HTML] A new method based on Taylor expansion and nearest-node strategy to impose Dirichlet and Neumann boundary conditions in ordinary state-based …
Peridynamics is a non-local continuum theory which is able to model discontinuities in the
displacement field, such as crack initiation and propagation in solid bodies. However, the …
displacement field, such as crack initiation and propagation in solid bodies. However, the …
[HTML][HTML] 近场动力学在断裂力学领域的研究进展
张恒， 张雄， 乔丕忠 - 力学进展, 2022 - lxjz.cstam.org.cn
近场动力学采用非局部积分计算节点内力, 利用统一数学框架描述空间连续与非连续,
避免了非连续区局部空间导数引起的应力奇异, 数值上具有无网格属性, 可自然模拟材料结构的 …
避免了非连续区局部空间导数引起的应力奇异, 数值上具有无网格属性, 可自然模拟材料结构的 …
Coupled total-and semi-Lagrangian peridynamics for modelling fluid-driven fracturing in solids
This paper presents a novel computational approach for modelling fluid-driven fracturing in
quasi-brittle solids using peridynamics. The approach leverages a rigorous coupling of the …
quasi-brittle solids using peridynamics. The approach leverages a rigorous coupling of the …