Kinematic constraints in the state-based peridynamics with mixed local/nonlocal gradient approximations
From MaRDI portal
Publication:487849
DOI10.1007/s00466-014-1055-8zbMath1311.74019OpenAlexW1988756091MaRDI QIDQ487849
Publication date: 23 January 2015
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-014-1055-8
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (4)
A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process ⋮ An effective way to control numerical instability of a nonordinary state-based peridynamic elastic model ⋮ Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach ⋮ Peridynamic Galerkin method: an attractive alternative to finite elements
Cites Work
- Unnamed Item
- Unnamed Item
- Viscoelastic material models in peridynamics
- A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
- A coupling approach of discretized peridynamics with finite element method
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- Meshfree-enriched simplex elements with strain smoothing for the finite element analysis of compressible and nearly incompressible solids
- 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
- Synchronized reproducing kernel interpolant via multiple wavelet expansion
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Variational and momentum preservation aspects of smooth particle hydrodynamic formulations
- Reformulation of elasticity theory for discontinuities and long-range forces
- Peridynamic states and constitutive modeling
- A non-ordinary state-based peridynamic method to model solid material deformation and fracture
- An approach for incorporating classical continuum damage models in state-based peridynamics
- A meshfree unification: reproducing kernel peridynamics
- A meshfree-enriched finite element method for compressible and near-incompressible elasticity
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- A generalized approximation for the meshfree analysis of solids
- Meshfree Particle Methods
- Peridynamics as an Upscaling of Molecular Dynamics
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Element‐free Galerkin methods
- Moving particle finite element method with global smoothness
- Moving particle finite element method
- Reproducing kernel particle methods
- Viscoplasticity using peridynamics
This page was built for publication: Kinematic constraints in the state-based peridynamics with mixed local/nonlocal gradient approximations
