A cut finite-element method for fracture and contact problems in large-deformation solid mechanics
DOI10.1016/j.cma.2021.114234OpenAlexW3211655517MaRDI QIDQ2060147
Łukasz Figiel, Michael Poluektov
Publication date: 13 December 2021
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.2021.114234
fictitious domain methodcontact mechanicssharp interface methodcut finite element methodlarge deformation mechanicsunbiased contact formulation
Contact in solid mechanics (74M15) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (3)
Cites Work
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- On the development of a 3D cohesive zone element in the presence of large deformations
- A formulation for frictionless contact problems using a weak form introduced by Nitsche
- The partition of unity finite element method: basic theory and applications
- Stabilized CutFEM for the convection problem on surfaces
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- An unbiased Nitsche's formulation of large deformation frictional contact and self-contact
- Shape optimization using the cut finite element method
- A stable cut finite element method for partial differential equations on surfaces: the Helmholtz-Beltrami operator
- A numerical method for finite-strain mechanochemistry with localised chemical reactions treated using a Nitsche approach
- Nitsche's method for finite deformation thermomechanical contact problems
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- 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)
- Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility
- Deriving robust unfitted finite element methods from augmented Lagrangian formulations
- Cut finite element methods for linear elasticity problems
- A space-time cut finite element method with quadrature in time
- Arbitrary discontinuities in finite elements
- A new method for modelling cohesive cracks using finite elements
- A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
- CutFEM: Discretizing geometry and partial differential equations
- A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
- Nitsche's method for interface problems in computa-tional mechanics
- Elastic crack growth in finite elements with minimal remeshing
- Extended finite element method for quasi-brittle fracture
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- A cut finite element method with boundary value correction
- A finite element method for crack growth without remeshing
- Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
- On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method
- Stabilization of high order cut finite element methods on surfaces
- Modeling holes and inclusions by level sets in the extended finite element method
This page was built for publication: A cut finite-element method for fracture and contact problems in large-deformation solid mechanics