An implicit boundary finite element method with extension to frictional sliding boundary conditions and elasto-plastic analyses
DOI10.1016/j.cma.2019.112620zbMath1441.74261OpenAlexW2974699041WikidataQ127252602 ScholiaQ127252602MaRDI QIDQ1989072
William M. Coombs, Zhendong Hu, Charles E. Augarde, Kaizhou Lu
Publication date: 24 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: http://dro.dur.ac.uk/29036/1/29036.pdf
Dirichlet boundary conditionselasto-plasticityfictitious domainimmersed boundaryimplicit boundary methodfrictional boundary
Friction in solid mechanics (74M10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Analysis of the fully discrete fat boundary method
- Implicit boundary method for determination of effective properties of composite microstructures
- Stabilized low-order finite elements for frictional contact with the extended finite element method
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Imposing essential boundary conditions in mesh-free methods
- A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface
- Consistent tangent operators for rate-independent elastoplasticity
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- A formulation for frictionless contact problems using a weak form introduced by Nitsche
- The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
- A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
- Parallel, adaptive finite element methods for conservation laws
- Meshless methods: An overview and recent developments
- A fat boundary method for the Poisson problem in a domain with holes
- A weighted Nitsche stabilized method for small-sliding contact on frictional surfaces
- Introduction to the web-method and its applications
- On numerically accurate finite element solutions in the fully plastic range
- A fictitious domain method for Dirichlet problem and applications
- A new implementation of the element free Galerkin method
- NURBS plasticity: non-associated plastic flow
- Weak impositions of Dirichlet boundary conditions in solid mechanics: a critique of current approaches and extension to partially prescribed boundaries
- Exact imposition of inhomogeneous Dirichlet boundary conditions based on weighted finite cell method and level-set function
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- NURBS plasticity: yield surface representation and implicit stress integration for isotropic inelasticity
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Flow patterns around heart valves: A numerical method
- The finite element method with Lagrangian multipliers
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- Stabilized global-local X-FEM for 3D non-planar frictional crack using relevant meshes
- A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
- A new formulation for imposing Dirichlet boundary conditions on non-matching meshes
- CutFEM: Discretizing geometry and partial differential equations
- Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- Finite element formulation of large deformation impact-contact problems with friction
- The immersed boundary method
- A discontinuous-Galerkin-based immersed boundary method
- Implicit boundary method for analysis using uniform B-spline basis and structured grid
- Implicit boundary method for finite element analysis using non-conforming mesh or grid
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- An augmented lagrangian treatment of contact problems involving friction
- The Finite Element Method with Penalty
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Finite Element Methods with B-Splines
- Mesh independent analysis of shell‐like structures
- A fixed‐grid b‐spline finite element technique for fluid–structure interaction
- An extended finite element method for modeling crack growth with frictional contact.
This page was built for publication: An implicit boundary finite element method with extension to frictional sliding boundary conditions and elasto-plastic analyses