A discrete surface correction method for bond-based peridynamics

DOI10.1016/j.enganabound.2023.02.041zbMath1521.74400OpenAlexW4323927849MaRDI QIDQ6158662

Jinseok Kim, Semsi Rakici

Publication date: 20 June 2023

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2023.02.041

zbMATH Keywords

crack propagationperidynamicsskin effectssurface correctionmeshfree discretization

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Cites Work

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• Peridynamic thermal diffusion
• Continuous and discontinuous finite element methods for a peridynamics model of mechanics
• Fundamentals of shock wave propagation in solids
• Implementing peridynamics within a molecular dynamics code
• Peridynamic modeling of membranes and fibers
• Studies of dynamic crack propagation and crack branching with peridynamics
• Peridynamic formulations enriched with bond rotation effects
• Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations
• Discretized peridynamics for linear elastic solids
• Multiscale dynamics of heterogeneous media in the peridynamic formulation
• Reformulation of elasticity theory for discontinuities and long-range forces
• A comparison study on peridynamic models using irregular non-uniform spatial discretization
• A local strain-based implementation strategy for the extended peridynamic model with bond rotation
• Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials
• Surface corrections for peridynamic models in elasticity and fracture
• Convergence studies in meshfree peridynamic simulations
• Peridynamic states and constitutive modeling
• Peridynamic Theory and Its Applications
• Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture
• Handbook of Peridynamic Modeling
• A method for dynamic crack and shear band propagation with phantom nodes
• THE PERIDYNAMIC EQUATION AND ITS SPATIAL DISCRETISATION
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
• Improvements to the Prototype Micro-brittle Model of Peridynamics