A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics
From MaRDI portal
Publication:2072510
DOI10.1016/j.cma.2021.114422OpenAlexW3185789552MaRDI QIDQ2072510
Nathaniel Trask, Masoud Behzadinasab, M. D. Alaydin, Yuri Bazilevs
Publication date: 26 January 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.13062
isogeometric analysisperidynamicsmeshfree methodsKirchhoff-Love shelllocal parameterization3D constitutive correspondence
Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Peridynamics (74A70)
Related Items (6)
An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces ⋮ A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids ⋮ An extended ordinary state-based peridynamic model for nonlinear deformation and fracture ⋮ Past, current and future trends and challenges in non-deterministic fracture mechanics: a review ⋮ Isogeometric large-eddy simulations of turbulent particle-laden flows ⋮ A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high-order kernel method for diffusion and reaction-diffusion equations on surfaces
- A local mesh method for solving PDEs on point clouds
- The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces
- Non-ordinary state-based peridynamic analysis of stationary crack problems
- Blended isogeometric shells
- A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
- On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
- On the analysis of rotation and stress rate in deforming bodies
- Isogeometric shell analysis: the Reissner-Mindlin shell
- A large deformation, rotation-free, isogeometric shell
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- An implicit gradient model by a reproducing kernel strain regularization in strain localization problems
- Locking-free stabilized conforming nodal integration for meshfree Mindlin--Reissner plate formulation
- An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures
- A refined nonlinear theory of plates with transverse shear deformation
- Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach
- Consistent tangent operators for rate-independent elastoplasticity
- Peridynamic modeling of membranes and fibers
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Studies of dynamic crack propagation and crack branching with peridynamics
- Computational fluid-structure interaction: methods and application to a total cavopulmonary connection
- Stress projection for membrane and shear locking in shell finite elements
- Synchronized reproducing kernel interpolant via multiple wavelet expansion
- Nonlinear finite element analysis of shells. I. Three-dimensional shells
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Analysis of thin shells by the element-free Galerkin method
- Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
- A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process
- An accurate numerical algorithm for stress integration with finite rotations
- Element-free method for static and free vibration analysis of spatial thin shell structures.
- Analysis of thin plates by the element-free Galerkin method
- Reformulation of elasticity theory for discontinuities and long-range forces
- Isogeometric Kirchhoff-Love shell formulation for elasto-plasticity
- An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics
- A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications
- Super-convergence of reproducing kernel approximation
- A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach
- Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation
- Continuum-kinematics-inspired peridynamics. Mechanical problems
- A semi-Lagrangian constitutive correspondence framework for peridynamics
- A fully Lagrangian meshfree framework for PDEs on evolving surfaces
- Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations
- An updated Lagrangian framework for isogeometric Kirchhoff-Love thin-shell analysis
- A higher-order shear deformation theory of laminated elastic shells
- Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements
- A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
- A parallel discontinuous Galerkin/cohesive-zone computational framework for the simulation of fracture in shear-flexible shells
- Stability of peridynamic correspondence material models and their particle discretizations
- A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff-Love shells
- Isogeometric collocation for Kirchhoff-Love plates and shells
- RBF-LOI: augmenting radial basis functions (RBFs) with least orthogonal interpolation (LOI) for solving PDEs on surfaces
- Peridynamic states and constitutive modeling
- Peridynamic differential operator and its applications
- An approach for incorporating classical continuum damage models in state-based peridynamics
- A reproducing kernel smooth contact formulation for metal forming simulations
- Peridynamic Theory and Its Applications
- Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
- A gradient reproducing kernel collocation method for boundary value problems
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Handbook of Peridynamic Modeling
- A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
- Convergence, adaptive refinement, and scaling in 1D peridynamics
- A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
- Elementary Differential Geometry
- A formulation of general shell elements—the use of mixed interpolation of tensorial components
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- A study of three-node triangular plate bending elements
- Surfaces Generated by Moving Least Squares Methods
- A simple and efficient finite element for plate bending
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Extraction of Fragments and Waves After Impact Damage in Particle-Based Simulations
- Isogeometric Analysis
- Peridynamics review
- A Kirchhoff plate formulation in a state-based peridynamic framework
- Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion
- Simple computation of reaction–diffusion processes on point clouds
- Reduced integration technique in general analysis of plates and shells
- A two-dimensional peridynamic model for thin plates
This page was built for publication: A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics
