On nonlocal geometrically exact shell theory and modeling fracture in shell structures

Numerical simulation of structural damage subjected to the near-field underwater explosion based on SPH and RKPM

(2021) Yu-Xiang Peng et al.   OCEAN ENGINEERING

A 3D meshfree crack propagation algorithm for the dynamic fracture in arbitrary curved shell

(2020) Yu-Xiang Peng et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A higher order nonlocal operator method for solving partial differential equations

(2020) Huilong Ren et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Higher-order nonlocal theory of Updated Lagrangian Particle Hydrodynamics (ULPH) and simulations of multiphase flows

(2020) Jiale Yan et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A peridynamic Reissner‐Mindlin shell theory

(2020) Qi Zhang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A nonlocal operator method for solving partial differential equations

(2019) Huilong Ren et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Meshfree simulations of large scale ductile fracture of stiffened ship hull plates during ship stranding

(2019) Yumeng Hu et al.   MECCANICA

Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach

(2018) Weidong Li et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom

(2018) Run Zhang et al.   COMPUTATIONAL MECHANICS

Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator

(2017) Erdogan Madenci et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

The total and updated lagrangian formulations of state-based peridynamics

(2016) Guy L. Bergel et al.   COMPUTATIONAL MECHANICS

Peridynamic differential operator and its applications

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

Phase-field analysis of finite-strain plates and shells including element subdivision

(2016) P. Areias et al.   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

Phase-field modeling of fracture in linear thin shells

(2013) F. Amiri et al.   THEORETICAL AND APPLIED FRACTURE MECHANICS

Modeling and simulation of large-scale ductile fracture in plates and shells

(2012) Bo Ren et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

(2012) QIANG DU et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Predicting crack propagation with peridynamics: a comparative study

(2011) Abigail Agwai et al.   INTERNATIONAL JOURNAL OF FRACTURE

Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework

(2010) Sundararajan Natarajan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Translation of Walter Noll’s “Derivation of the Fundamental Equations of Continuum Thermodynamics from Statistical Mechanics”

(2010) Richard B. Lehoucq et al.   JOURNAL OF ELASTICITY

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

(2010) Max Gunzburger et al.   MULTISCALE MODELING & SIMULATION

Immersed particle method for fluid-structure interaction

(2009) Timon Rabczuk et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A non-ordinary state-based peridynamic method to model solid material deformation and fracture

(2008) Thomas L. Warren et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Force flux and the peridynamic stress tensor

(2007) R LEHOUCQ et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS