Continuous gap contact formulation based on the screened Poisson equation
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Publication:6084767
DOI10.1007/s00466-023-02309-8arXiv2302.13158OpenAlexW4361285664MaRDI QIDQ6084767
Pedro M. A. Areias, Jorge A. C. Ambrósio, N. Sukumar
Publication date: 2 December 2023
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.13158
finite element methodfinite straineikonal equationapproximate distance functionnode-to-element contact formulationnonsmooth contact geometry
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)
Cites Work
- Unnamed Item
- A finite element method for contact using a third medium
- Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations
- Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems
- Coulomb frictional contact by explicit projection in the cone for finite displacement quasi-static problems
- A contact domain method for large deformation frictional contact problems. II: Numerical aspects
- The node-to-segment algorithm for 2D frictionless contact: classical formulation and special cases
- A segment-to-segment contact strategy
- A perturbed Lagrangian formulation for the finite element solution of contact problems
- Sliding interfaces with contact-impact in large-scale Lagrangian computations
- Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians
- A mortar segment-to-segment contact method for large deformation solid mechanics.
- A remark on computing distance functions
- The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms.
- Finite element analysis of nonsmooth contact
- The distance potential function-based finite-discrete element method
- An implicit 3D corotational formulation for frictional contact dynamics of beams against rigid surfaces using discrete signed distance fields
- Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks
- Signed distance field framework for unified DEM modeling of granular media with arbitrary particle shapes
- An ADMM-based scheme for distance function approximation
- A unified approach for beam-to-beam contact
- A master-surface to master-surface formulation for beam to beam contact. II: Frictional interaction
- A master-surface to master-surface formulation for beam to beam contact. I: Frictionless interaction
- Enhanced multiple-point beam-to-beam frictionless contact finite element
- Distance fields on unstructured grids: stable interpolation, assumed gradients, collision detection and gap function
- A finite element method for contact problems of solid bodies. I: Theory and validation. II: Application to turbine blade fastenings
- 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)
- A constructive proof of the Kuhn-Tucker multiplier rule
- A mortar segment-to-segment frictional contact method for large deformations
- On the solvability of closest point projection procedures in contact analysis: analysis and solution strategy for surfaces of arbitrary geometry
- Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
- Mathematical and numerical aspects of an elasticity-based local approach to fracture
- A modified node-to-segment algorithm passing the contact patch test
- Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem
- An augmented lagrangian treatment of contact problems involving friction
- Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition
- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
- Screened Poisson Hyperfields for Shape Coding
- Nonlinear Continuum Mechanics for Finite Element Analysis
- Computational Contact Mechanics
- Diffusion processes in a small time interval
- Two dimensional mortar contact methods for large deformation frictional sliding
- Variational methods for the solution of problems of equilibrium and vibrations
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