An improved normal compliance method for dynamic hyperelastic problems with energy conservation property
DOI10.1016/j.cnsns.2023.107296zbMath1524.74365arXiv2301.10471OpenAlexW4375859519MaRDI QIDQ6163213
Mikäel Barboteu, Francesco Bonaldi, David Danan, Soad El-Hadri
Publication date: 9 June 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.10471
Coulomb frictiondynamicsnumerical simulationshyperelasticityMoreau-Yosida regularizationsemi-smooth Newton methodunilateral contactnormal complianceprimal-dual active set
Newton-type methods (49M15) Methods of quasi-Newton type (90C53) Nonlinear elasticity (74B20) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Problems involving a system of particles with friction (70F40) Impact in solid mechanics (74M20) Dynamics of multibody systems (70E55) PDEs in connection with mechanics of particles and systems of particles (35Q70)
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Cites Work
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- A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction
- Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction
- A frictionless viscoelastodynamic contact problem with energy consistent properties: numerical analysis and computational aspects
- Mixed interpretation and extensions of the equivalent mass matrix approach for elastodynamics with contact
- Various numerical methods for solving unilateral contact problems with friction
- Mass redistribution method for finite element contact problems in elastodynamics
- Formulation and analysis of two energy-consistent methods for nonlinear elastodynamic frictional contact problems
- Models and computational methods for dynamic friction phenomena
- Interior penalty methods for finite element approximations of the Signorini problem in elastostatics
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Improved implicit integrators for transient impact problems -- dynamic frictional dissipation within an admissible conserving framework.
- Analysis of two active set type methods to solve unilateral contact problems
- Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
- Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
- Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
- An adaptation of Nitsche's method to the Tresca friction problem
- Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
- Inexact primal-dual active set method for solving elastodynamic frictional contact problems
- Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact
- Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets
- Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers
- A primal--dual active set strategy for nonlinear multibody contact problems
- An overview of recent results on Nitsche's method for contact problems
- Mathematical Models in Contact Mechanics
- On enhanced descent algorithms for solving frictional multicontact problems: application to the discrete element method
- Energy-Consistent CoRotational Schemes for Frictional Contact Problems
- On the discretization of contact problems in elastodynamics
- A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
- Uzawa and Newton algorithms to solve frictional contact problems within the bi-potential framework
- Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density
- A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes
- A Hyperelastic Dynamic Frictional Contact Model with Energy-Consistent Properties
- Proximité et dualité dans un espace hilbertien
- On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods.
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