An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities
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Publication:2697813
DOI10.1016/j.camwa.2023.02.020OpenAlexW4323321544MaRDI QIDQ2697813
Pouria Sheikhbahaei, Farshid Mossaiby, Arman Shojaei
Publication date: 13 April 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.02.020
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Cites Work
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- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- The variational approach to fracture
- Convergence of peridynamics to classical elasticity theory
- Consistent linearization for path following methods in nonlinear FE analysis
- Solution strategies and softening materials
- Accelerated solution techniques and concrete cracking
- Numerical experiments in revisited brittle fracture
- A comparison of different methods for calculating tangent-stiffness matrices in a massively parallel computational peridynamics code
- OpenCL implementation of a high performance 3D peridynamic model on graphics accelerators
- The meshless finite point method for transient elastodynamic problems
- Determination of travel directions in path-following methods
- On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs'
- Reformulation of elasticity theory for discontinuities and long-range forces
- A partitioned coupling framework for peridynamics and classical theory: analysis and simulations
- Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems
- Static solution of crack propagation problems in peridynamics
- A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
- Convergence studies in meshfree peridynamic simulations
- A novel damage model in the peridynamics-based cohesive zone method (PD-CZM) for mixed mode fracture with its implicit implementation
- A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation
- A space-time discretization of a nonlinear peridynamic model on a 2D lamina
- An electromechanical micropolar peridynamic model
- An extended ghost interlayer model in peridynamic theory for high-velocity impact fracture of laminated glass structures
- Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models
- Overall equilibrium in the coupling of peridynamics and classical continuum mechanics
- PeriPy -- a high performance peridynamics package
- A line search assisted monolithic approach for phase-field computing of brittle fracture
- Dual-horizon peridynamics: a stable solution to varying horizons
- Coupling of FEM meshes with peridynamic grids
- A coupling approach of state-based peridynamics with node-based smoothed finite element method
- Peridynamic states and constitutive modeling
- An \(hp\)-Galerkin method with fast solution for linear peridynamic models in one dimension
- From diffuse damage to sharp cohesive cracks: a coupled XFEM framework for failure analysis of quasi-brittle materials
- A hybrid meshfree discretization to improve the numerical performance of peridynamic models
- Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions
- Peridynamic Theory and Its Applications
- Simple modifications for stabilization of the finite point method
- Peridynamics as an Upscaling of Molecular Dynamics
- Finite elements with embedded strong discontinuities for the modeling of failure in solids
- Snap‐through and snap‐back response in concrete structures and the dangers of under‐integration
- Computation of post-bifurcation and post-failure behavior of strain-softening solids
- A fast incremental/iterative solution procedure that handles “snap-through”
- Geometrical interpretation of the arc-length method
- A local arc-length procedure for strain softening
- Extended finite element method for three-dimensional crack modelling
- A finite element method for crack growth without remeshing
