Presentation and comparison of selected algorithms for dynamic contact based on the Newmark scheme
From MaRDI portal
Publication:450901
DOI10.1016/j.apnum.2012.06.014zbMath1295.74072OpenAlexW1996933845MaRDI QIDQ450901
Mirjam Walloth, Rolf H. Krause
Publication date: 26 September 2012
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.014
Contact in solid mechanics (74M15) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
Mixed FEM of higher-order for time-dependent contact problems ⋮ Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ An explicit time-integrator with singular mass for non-smooth dynamics ⋮ A nonsmooth generalized-αscheme for flexible multibody systems with unilateral constraints ⋮ On the control of time discretized dynamic contact problems ⋮ Stabilized numerical solution for transient dynamic contact of inelastic solids on rough surfaces ⋮ Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact ⋮ Numerical simulation of multiscale fault systems with rate- and state-dependent friction ⋮ Adaptive timestep control for the contact-stabilized Newmark method ⋮ Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators ⋮ A family of space-time connecting discretization schemes with local impact detection for elastodynamic contact problems ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ The contact-stabilized Newmark method: consistency error of a spatiotemporal discretization ⋮ Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies ⋮ A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems ⋮ A framework of time integration methods for nonsmooth systems with unilateral constraints ⋮ Dynamic contact analysis technique for rapidly sliding elastic bodies with node-to-segment contact and differentiated constraints ⋮ NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem ⋮ Model-based control of dynamic frictional contact problems using the example of hot rolling ⋮ A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Level set based multi-scale methods for large deformation contact problems
- A time discretization scheme based on Rothe's method for dynamical contact problems with friction
- Mass redistribution method for finite element contact problems in elastodynamics
- 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.
- Finite element analysis of nonsmooth contact
- Comparison of two approaches for the discretization of elastodynamic contact problems
- Geometric Numerical Integration
- On the discretization of contact problems in elastodynamics
- A Nonsmooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency
- A stable energy-conserving approach for frictional contact problems based on quadrature formulas
- A contact-stabilized Newmark method for dynamical contact problems
- Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
- Improved implicit integrators for transient impact problems?geometric admissibility within the conserving framework
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Time-discretized variational formulation of non-smooth frictional contact
- UG -- a flexible software toolbox for solving partial differential equations
- Adaptive multigrid methods for Signorini's problem in linear elasticity.