Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model

DOI10.1016/j.cma.2018.04.027zbMath1440.74033OpenAlexW2802247543WikidataQ129915981 ScholiaQ129915981MaRDI QIDQ1986216

Dong Qian, Clint Nicely, Shao-Qiang Tang

Publication date: 8 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.2018.04.027

zbMATH Keywords

interfacemultiscale methodsmatching boundary conditioncorrespondence material modelnon-ordinary peridynamics

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Theories of fracture and damage (74A45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

An improved stabilized peridynamic correspondence material model for the crack propagation of nearly incompressible hyperelastic materials ⋮ Peridynamic bond‐associated correspondence model: Reformulation and comparison study ⋮ Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions ⋮ Superposition-based coupling of peridynamics and finite element method ⋮ An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis ⋮ Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach ⋮ Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

Cites Work

• Matching boundary conditions for diatomic chains
• Reformulation of elasticity theory for discontinuities and long-range forces
• Stability of peridynamic correspondence material models and their particle discretizations
• Peridynamic states and constitutive modeling
• A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids
• A non-ordinary state-based peridynamic method to model solid material deformation and fracture
• A meshfree unification: reproducing kernel peridynamics
• Matching boundary conditions for lattice dynamics
• Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• Transmitting boundary conditions for 1D peridynamics
• The Arlequin method as a flexible engineering design tool

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