Mesh sensitivity in peridynamic simulations

DOI10.1016/j.cpc.2013.09.010zbMath1344.65115OpenAlexW1973583228MaRDI QIDQ313873

Sachin Shanbhag, Steven F. Henke

Publication date: 12 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.09.010

zbMATH Keywords

damagenumerical approximationmultiscaleperidynamicsnonlocal

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs in connection with mechanics of deformable solids (35Q74)

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Uses Software

• LAPACK
• LAMMPS

Cites Work

• A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
• Variational theory and domain decomposition for nonlocal problems
• Continuous and discontinuous finite element methods for a peridynamics model of mechanics
• Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
• Implementing peridynamics within a molecular dynamics code
• Studies of dynamic crack propagation and crack branching with peridynamics
• The peridynamic formulation for transient heat conduction
• Convergence of peridynamics to classical elasticity theory
• Reformulation of elasticity theory for discontinuities and long-range forces
• Peridynamic states and constitutive modeling
• Advances in Studies and Applications of Centroidal Voronoi Tessellations
• A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
• THE PERIDYNAMIC EQUATION AND ITS SPATIAL DISCRETISATION
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• LAPACK Users' Guide
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Least squares quantization in PCM
• Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
• A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS