Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials

DOI10.1016/j.cma.2019.112636zbMath1441.74016OpenAlexW2976338052WikidataQ127250595 ScholiaQ127250595MaRDI QIDQ1989103

Yanyan Li

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112636

zbMATH Keywords

Petrov-Galerkin methodsmoothed particle hydrodynamicsmeshfree methodconsistent linearizationperidynamic correspondence formulationperidynamic reduction

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theories of fracture and damage (74A45)

Related Items (13)

A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ A viscoelastic model of geometry-constraint-based non-ordinary state-based peridynamics with progressive damage ⋮ Mixed peridynamic formulations for compressible and incompressible finite deformations ⋮ Continuum-kinematics-inspired peridynamics: thermo-mechanical problems ⋮ An extended ordinary state-based peridynamic model for nonlinear deformation and fracture ⋮ A discrete surface correction method for bond-based peridynamics ⋮ The computational framework for continuum-kinematics-inspired peridynamics ⋮ A computational periporomechanics model for localized failure in unsaturated porous media ⋮ A consistent peridynamic formulation for arbitrary particle distributions ⋮ An entropy-stable smooth particle hydrodynamics algorithm for large strain thermo-elasticity ⋮ A continuum consistent discrete particle method for continuum-discontinuum transitions and complex fracture problems ⋮ Peridynamic Galerkin method: an attractive alternative to finite elements ⋮ A novel kinematic-constraint-inspired non-ordinary state-based peridynamics

Uses Software

• AceFEM

Cites Work

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• Non-ordinary state-based peridynamic analysis of stationary crack problems
• Consistent pseudo-derivatives in meshless methods
• A comparison of different methods for calculating tangent-stiffness matrices in a massively parallel computational peridynamics code
• A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process
• An hourglass control algorithm for Lagrangian smooth particle hydrodynamics
• SPH without a tensile stability
• Reformulation of elasticity theory for discontinuities and long-range forces
• A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications
• Stability of peridynamic correspondence material models and their particle discretizations
• Stabilization algorithm for the optimal transportation meshfree approximation scheme
• Peridynamic states and constitutive modeling
• Peridynamic differential operator and its applications
• Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials
• A non-ordinary state-based peridynamic method to model solid material deformation and fracture
• A meshfree unification: reproducing kernel peridynamics
• Peridynamic Theory and Its Applications
• Automation of Finite Element Methods
• Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Reproducing kernel particle methods for structural dynamics
• Peridynamics review

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