Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems
From MaRDI portal
Publication:1986699
DOI10.1016/j.cma.2018.09.019zbMath1440.74041OpenAlexW2895843456MaRDI QIDQ1986699
Shank S. Kulkarni, Xiaonan Wang, Alireza Tabarraei
Publication date: 9 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.2018.09.019
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
Imposition of local boundary conditions in peridynamics without a fictitious layer and unphysical stress concentrations, Numerical simulation of singularity propagation modeled by linear convection equations with spatially heterogeneous nonlocal interactions, Concurrent multiscale analysis of anti-seepage structures in embankment dam based on the nonlinear Arlequin method, Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon, An adaptive coupling approach of local and non-local micromechanics, Viscoplastic flow of functional cellular materials with use of peridynamics, An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions, On deformation and fracture of PBX simulant employing modified three-body potential peridynamics model with deformation-based failure criteria, An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities, The computational framework for continuum-kinematics-inspired peridynamics, A coupling method of non-ordinary state-based peridynamics and finite element method, Towards elasto-plastic continuum-kinematics-inspired peridynamics, Bridging the gap between local and nonlocal numerical methods -- a unified variational framework for non-ordinary state-based peridynamics, Strength-induced peridynamic modeling and simulation of fractures in brittle materials, Modeling of peridynamic beams and shells with transverse shear effect via interpolation method, Isogeometric analysis of cracks with peridynamics, A multiscale method coupling peridynamic and boundary element models for dynamic problems
Cites Work
- A damping boundary condition for coupled atomistic-continuum simulations
- Prediction of crack paths in a quenched glass plate by using peridynamic theory
- A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
- Explicit dynamic finite element method for failure with smooth fracture energy dissipations
- A coupling approach of discretized peridynamics with finite element method
- Structural stability and failure analysis using peridynamic theory
- Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
- A bridging domain method for coupling continua with molecular dynamics
- Extended finite element method on polygonal and quadtree meshes
- A comparative study on finite element methods for dynamic fracture
- Studies of dynamic crack propagation and crack branching with peridynamics
- Crack nucleation in a peridynamic solid
- Convergence of peridynamics to classical elasticity theory
- Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method
- Extended finite element simulation of quasi-brittle fracture in functionally graded materials
- The partition of unity finite element method: basic theory and applications
- Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation
- Numerical experiments in revisited brittle fracture
- Crack propagation modelling using an advanced remeshing technique
- Finite element computation of dynamic stress intensity factors for rapidly propagating cracks using \(\hat J\)-integral
- Multiscale dynamics of heterogeneous media in the peridynamic formulation
- Reformulation of elasticity theory for discontinuities and long-range forces
- Enabling fast, stable and accurate peridynamic computations using multi-time-step integration
- Coupling of FEM meshes with peridynamic grids
- Peridynamic states and constitutive modeling
- Kinetics of phase transformations in the peridynamic formulation of continuum mechanics
- Peridynamic Theory and Its Applications
- Coupling of nonlocal and local continuum models by the Arlequin approach
- A two-dimensionalordinary, state-based peridynamic model for linearly elastic solids
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids
- Element‐free Galerkin methods
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- Reproducing kernel particle methods
- A finite element method for crack growth without remeshing
- Problèmes mécaniques multi-échelles: la méthode Arlequin
- The Arlequin method as a flexible engineering design tool