A variable horizon method for coupling meshfree peridynamics to FEM

DOI10.1016/j.cma.2019.06.027zbMath1441.74024OpenAlexW2954161742WikidataQ127583754 ScholiaQ127583754MaRDI QIDQ1988219

Mohammad Ali Kouchakzadeh, Jaber Nikpayam

Publication date: 16 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.2019.06.027

zbMATH Keywords

couplingperidynamicsfinite element method (FEM)variable horizonco-family

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)

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Cites Work

• Unnamed Item
• The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture
• A coupling approach of discretized peridynamics with finite element method
• Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
• Elastic media with microstructure II. Three-dimensional models. Transl. from the Russian
• Convergence of peridynamics to classical elasticity theory
• Reformulation of elasticity theory for discontinuities and long-range forces
• Surface corrections for peridynamic models in elasticity and fracture
• Dual-horizon peridynamics: a stable solution to varying horizons
• Coupling of FEM meshes with peridynamic grids
• Peridynamic states and constitutive modeling
• A morphing approach to couple state-based peridynamics with classical continuum mechanics
• A two-dimensionalordinary, state-based peridynamic model for linearly elastic solids
• Vector Calculus
• Viscoplasticity using peridynamics