Conservative discretization of contact/impact problems for nearly rigid bodies
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Publication:5928391
DOI10.1016/S0045-7825(00)00232-2zbMath1029.74044MaRDI QIDQ5928391
Leszek F. Demkowicz, Anetta Bajer
Publication date: 8 February 2004
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
variational formulationfinite element discretizationangular momentumcontact/impact problemselastic rodelastic wheellinear momentumrigid body motionSimo-Laursen-Chavla algorithmsmall elastic deformationtotal energy
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Impact in solid mechanics (74M20)
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Uses Software
Cites Work
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- A numerically stable dual method for solving strictly convex quadratic programs
- A perturbed Lagrangian formulation for the finite element solution of contact problems
- Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- High-order Taylor-Galerkin and adaptive \(h\)-\(p\) methods for second-order hyperbolic systems: Application to elastodynamics
- A finite element method for a class of contact-impact problems
- Simulation of impact involving an elastic rod
- HP90: A general and flexible Fortran 90 \(hp\)-FE code
- Large-scale contact/impact simulation and sensitivity analysis on distributed-memory computers
- Computational procedure for simulating the contact/impact response in flexible multibody systems
- Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
- On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle
- Unilateral contact of two solids subject to large deformations: formulation and existence results
- On a finite element method for dynamic contact/impact problems
- Contact Mechanics
- Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
- Adaptive finite element methods for hyperbolic systems with application to transient acoustics
- A continuum‐based finite element formulation for the implicit solution of multibody, large deformation‐frictional contact problems
- A co‐rotational element/time‐integration strategy for non‐linear dynamics
- DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
- Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity
- An augmented Lagrangian method for discrete large‐slip contact problems
- Numerical Approximation of a Wave Equation with Unilateral Constraints
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
