Generalized reproducing kernel peridynamics: unification of local and non-local meshfree methods, non-local derivative operations, and an arbitrary-order state-based peridynamic formulation

Reproducing kernel mesh-free collocation analysis of structural vibrations

(2019) Dongliang Qi et al.   ENGINEERING COMPUTATIONS

Weak form of peridynamics for nonlocal essential and natural boundary conditions

(2018) Erdogan Madenci et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A reproducing kernel enhanced approach for peridynamic solutions

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

Superconvergent gradient smoothing meshfree collocation method

(2018) Dongdong Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Meshfree Methods: Progress Made after 20 Years

(2017) Jiun-Shyan Chen et al.   JOURNAL OF ENGINEERING MECHANICS

Meshfree Methods: Progress Made after 20 Years

(2017) Jiun-Shyan Chen et al.   JOURNAL OF ENGINEERING MECHANICS

Peridynamic differential operator and its applications

(2016) Erdogan Madenci et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems

(2016) Michael Hillman et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Convergence studies in meshfree peridynamic simulations

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

Wave Dispersion and Basic Concepts of Peridynamics Compared to Classical Nonlocal Damage Models

(2016) Zdenek P. Bažant et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

A meshfree unification: reproducing kernel peridynamics

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

A peridynamics–SPH coupling approach to simulate soil fragmentation induced by shock waves

(2014) Bo Ren 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

Non-ordinary state-based peridynamic analysis of stationary crack problems

(2014) M.S. Breitenfeld et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

(2013) Dominik Schillinger et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A gradient reproducing kernel collocation method for boundary value problems

(2013) Sheng-Wei Chi et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An arbitrary order variationally consistent integration for Galerkin meshfree methods

(2013) Jiun-Shyan Chen et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

ADAPTIVE REFINEMENT AND MULTISCALE MODELING IN 2D PERIDYNAMICS

(2011) Florin Bobaru et al.   International Journal for Multiscale Computational Engineering

Continuous and discontinuous finite element methods for a peridynamics model of mechanics

(2010) X. Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ISOGEOMETRIC COLLOCATION METHODS

(2010) F. AURICCHIO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Error analysis of collocation method based on reproducing kernel approximation

(2009) Hsin-Yun Hu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Implementing peridynamics within a molecular dynamics code

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

Convergence, adaptive refinement, and scaling in 1D peridynamics

(2008) Florin Bobaru et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING