A method for structural dynamic contact problems with friction and wear

International Journal for Numerical Methods in Engineering

Volumn 58, Issue 15, 2003, Pages 2371-2385

  Strömberg, Niclas ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Augmented Lagrangian and Newton's method; Contact; Dynamics; Friction; Wave

Indexed keywords

FRICTION; LAGRANGE MULTIPLIERS; PROBLEM SOLVING; WEAR OF MATERIALS;

CONTACT DYNAMICS; MOMENTUM;

STRUCTURAL ANALYSIS;

CONTACT; DYNAMIC CHARACTERISTICS; FRETTING; FRICTION; MATHEMATICAL METHOD; WEAR;

EID: 0347565949     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.858     Document Type: Article

References (28)

1. Klarbring A. Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction. Ingenieur-Archiv 1990; 60:529-541.
2. Johansson L. Numerical simulation of contact pressure evolution in fretting. Journal of Tribology 1994; 116:247-254.
3. Strömberg N. An augmented Lagrangian method for fretting problems. European Journal of Mechanics - A/Solids 1997; 16:573-593.
4. Strömberg N. A Newton method for three-dimensional fretting problems. International Journal of Solids and Structures 1999; 36:2075-2090.
5. Lundvall O, Klarbring A. Simulation of wear by use of a non-smooth Newton method-a spur gear application. Mechanics of Structures and Machines 2001; 29:223-238.
6. Laursen TA, Chawla V. Design of energy conserving algorithms for frictionless dynamic contact problems. International Journal for Numerical Methods in Engineering 1997; 40:863-886.
7. Klarbring A. Contact, friction and discrete mechanical structures: analogies and dynamic problems. In Multibody Dynamics with Unilateral Contacts. Pfeiffer F, Glocker C (eds), (CISM Courses and Lectures No. 421). Springer: Berlin, 2000; 147-174.
8. Wriggers P, Vu Van T, Stein E. Finite element formulation of large deformation impact-contact problems with friction. Computers and Structures 1990; 37:319-331.
9. Simo JC, Tarnow N. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 1992; 43:757-792.
10. Moreau JJ. Some numerical methods in multibody dynamics: application to granular materials. European Journal of Mechanics - A/Solids 1994; 13:93-114.
11. Johansson L. A Newton method for rigid body frictional impact with multiple simultaneous impact points. Computer Methods in Applied Mechanics and Engineering 2001; 191:239-254.
12. Jean M. The non-smooth contact dynamics method. Computer Methods in Applied Mechanics and Engineering 1999; 177:235-257.
13. Strömberg N, Johansson L, Klarbring A. Derivation and analysis of a generalized standard model for contact, friction and wear. International Journal of Solids and Structures 1996; 33:1817-1836.
14. Chawla V, Laursen TA. Energy consistent algorithms for frictional contact problems. International Journal for Numerical Methods in Engineering 1998; 42:799-827.
15. Meng XN, Laursen TA. Energy consistent algorithms for dynamic finite deformation plasticity. Computer Methods in Applied Mechanics and Engineering 2002; 191:1639-1675.
16. Laursen TA. Computational Contact and Impact Mechanics, Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis. Springer: Berlin, Heidelberg, 2002.
17. Christensen PW, Klarbring A, Pang JS, Strömberg N. Formulation and comparison of algorithms for frictional contact problems. International Journal for Numerical Methods in Engineering 1998; 42:145-173.
18. Pietrzak G, Curnier A. Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment. Computer Methods in Applied Mechanics and Engineering 1999; 177:351-381.
19. Lundvall O, Klarbring A. Prediction of transmission error in spur gears as a consequence of wear. Mechanics of Structures and Machines 2001; 29:431-449.
20. González JA, Abascal R. Solving 2D transient rolling contact problems using BEM and mathematical programming techniques. International Journal for Numerical Methods in Engineering 2002; 53:843-874.
21. Christensen PW. A nonsmooth Newton method for elastoplastic problems. Computer Methods in Applied Mechanics and Engineering 2002; 191:1189-1219.
22. Ireman P, Klarbring A, Strömberg N. Finite element algorithms for thermoelastic wear problems. European Journal of Mechanics - A/Solids 2002; 21:423-440.
23. Alart P, Curnier A. A mixed formulation for frictional contact problems prone to Newton like solutions methods. Computer Methods in Applied Mechanics and Engineering 1991; 92:353-375.
24. Klarbring A. Mathemathical programming and augmented Lagrangian methods for frictional contact problems. In Proceedings of Contact Mechanics International Symposium, Curnier A (ed.), Presses Polytechniques et Universitaires Romandes: Lausanne, 1992; 409-442.
25. Pang JS. Newton's method for B-differentiable equations. Mathematics of Operations Research 1990; 15: 311-341.
26. Wriggers P. Computational Contact Mechanics. Wiley, Inc.: New York, 2002.
27. Ireman P, Klarbring A, Strömberg N. A damage model coupled to wear. International Journal of Solids and Structures 2003; 40:2957-2974.
28. Meirovitch L. Fundamentals of Vibrations. McGraw-Hill: New York, 2001.