Meshless numerical solution for nonlocal integral differentiation equation with application in peridynamics

From statistical mechanics to nonlocal theory

(2022) Wu-Wen Yao et al.   ACTA MECHANICA

Numerical modelling of compressible hyperelasticity via smoothed state-based peridynamics

(2022) Wuwen Yao et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Advanced general particle dynamics with nonlocal foundation for fracture analysis

(2022) Xiao‐Ping Zhou et al.   FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES

Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion

(2021) Yu Leng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

(2021) Yue Yu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Smoothed peridynamics for the extremely large deformation and cracking problems: Unification of peridynamics and smoothed particle hydrodynamics

(2021) Xiaoping Zhou et al.   FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES

Microscopic characterizations of heterogeneous pores, ITZs, multiple‐solids and their impacts on damage property of sandstone by low‐high resolution 3D reconstruction

(2021) Zhi Zhao et al.   GEOPHYSICAL RESEARCH LETTERS

An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions

(2020) Huaiqian You et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Continuous smoothed particle hydrodynamics for cracked nonconvex bodies by diffraction criterion

(2020) Wu-Wen Yao et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

The enhanced extended finite element method for the propagation of complex branched cracks

(2019) Jun-Wei Chen et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Development of a 3D Hybrid Finite-Discrete Element Simulator Based on GPGPU-Parallelized Computation for Modelling Rock Fracturing Under Quasi-Static and Dynamic Loading Conditions

(2019) Daisuke Fukuda et al.   ROCK MECHANICS AND ROCK ENGINEERING

A reproducing kernel enhanced approach for peridynamic solutions

(2018) Marco Pasetto et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics

(2018) Nathaniel Trask et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains

(2016) Xiaochuan Tian et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Convergence studies in meshfree peridynamic simulations

(2016) Pablo Seleson et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the similarity of meshless discretizations of Peridynamics and Smooth-Particle Hydrodynamics

(2015) G.C. Ganzenmüller et al.   COMPUTERS & STRUCTURES

A meshfree unification: reproducing kernel peridynamics

(2014) M. A. Bessa et al.   COMPUTATIONAL MECHANICS

Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations

(2014) Pablo Seleson   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models

(2014) Xiaochuan Tian et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A new nonlocal cohesive stress law and its applicable range

(2011) Yin Yao et al.   ENGINEERING FRACTURE MECHANICS

An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory

(2010) B. Kilic et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

Peridynamics as an Upscaling of Molecular Dynamics

(2009) Pablo Seleson et al.   MULTISCALE MODELING & SIMULATION

Implementing peridynamics within a molecular dynamics code

(2008) Michael L. Parks et al.   COMPUTER PHYSICS COMMUNICATIONS