A solution method for general contact-impact problems

Computer Methods in Applied Mechanics and Engineering

Volumn 187, Issue 1-2, 2000, Pages 69-77

  Farahani, K ^a   Mofid, M ^a   Vafai, A ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DYNAMICS; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; STIFFNESS MATRIX;

CONTACT IMPACT PROBLEMS; DEFORMABLE BODIES; STIFFNESS TRANSFORMATION;

COMPUTATIONAL METHODS;

CONTACT; IMPACT;

EID: 0033918444     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00110-3     Document Type: Article

References (14)

1. Farahani K. A numerical technique for nonlinear contact-impact problems, M.Sc. thesis. 1995;Sharif University of Technology, Tehran, Iran.
2. Hughes J.R., Taylor R.L., Sackman J.L., Curnier A., Kanoknukulchai W. A finite element method for a class of contact impact problems. Comput. Meth. Appl. Mech. Engng. 8:1976;249-276.
3. Bathe J., Chaudhary A.B. A solution method for static and dynamic analysis of three dimensional contact problems with friction. Comput. Struct. 24:1986;855-873.
4. Simo J.C., Wriggers P., Taylor R.L. A perturbed Lagrangian formulation for the finite element solution of contact problems. Comput. Meth Appl. Mech. Engng. 50:1985;163-180.
5. Kikuchi A smoothing technique for reduce integration penalty methods in contact problems. Int. J. Numer. Meth. Engng. 18:1982;343-350.
6. Omid N., Wriggers P. A two level iteration method for solution of contact problems. Comput. Meth. Appl. Mech. Engng. 54:1986;131-144.
7. Hunek H. On a penalty formulation for contact impact problems. Struct. 2:1993;193-203.
8. Argyris H., Balmer A., Doltsinis J.S.T., Kurz A. Computer simulation of crash phenomena. Int. J. Numer. Meth. Engng. 22:1986;497-519.
9. Underhill U., Dokainish M.A., Oravas G.A.E. A method for contact problems using virtual elements. Comput. Meth. Appl. Mech. Engrg. 143:1997;229-247.
10. Desai S., Zaman M.M., Lightner J.G., Siriwardane H.J. Thin elements for interface and joints. Int. J. Anal. Numer. Mech. Geomech. 7:1983.
11. Ju H., Stone J.J., Rowlands R.E. A new symmetric contact element stiffness matrix for frictional contact problems. Comput. Struct. 54(2):1995;289-301.
12. Ayari L., Saouma V.E. Static and dynamic contact/impact problems using fictitious forces. Int. J. Numer. Meth. Engng. 32:1991;623-643.
13. Gadala G., Dokainish M.A., Oravas G.A.E. Formulation methods of geometric and material nonlinearity problems. Int. J. Numer. Meth. Engng. 20:1984;887-914.
14. Bathe K.J. Finite Element Procedures. 1996;Prentice-Hall, Englewood Cliffs, NJ.