2D contact smooth formulation based on the mortar method

Computer Methods in Applied Mechanics and Engineering

Volumn 247-248, Issue , 2012, Pages 1-14

  Tur, M ^a   Giner, E ^a   Fuenmayor, F J ^a   Wriggers, P ^b  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Contact; Lagrange multiplier; Large sliding; Mortar method; Smoothing

Indexed keywords

CONTACT PROBLEM; CURVED SURFACES; FINITE ELEMENT; LARGE SLIDING; MORTAR FORMULATION; MORTAR METHODS; NODE TO SEGMENTS; NONCONFORMING MESH; NUMERICAL EXAMPLE; SMOOTHING; SMOOTHING TECHNIQUES;

CONTACTS (FLUID MECHANICS); LAGRANGE MULTIPLIERS; MORTAR;

PROBLEM SOLVING;

EID: 84866292829     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.08.002     Document Type: Article

References (21)

1. Puso M.A., Laursen T. A mortar segment-to-segment contact method for large deformation solid mechanics. Comput. Methods Appl. Mech. Engrg. 2004, 193:601-629.
2. Puso M.A., Laursen T. A mortar segment-to-segment frictional contact method for large deformations. Comput. Methods Appl. Mech. Engrg. 2004, 193:4891-4913.
3. Yang B., Laursen T., Meng X. Two dimensional mortar contact methods for large deformation frictional sliding. Int. J. Numer. Methods Engrg. 2005, 62:1183-1225.
4. Fischer K.A., Wriggers P. Frictionless 2D contact formulations for finite deformations based on the mortar method. Comput. Mech. 2005, 36:226-244.
5. Fischer K.A., Wriggers P. Mortar based frictional contact formulation for higher order interpolations using the moving friction cone. Comput. Methods Appl. Mech. Engrg. 2006, 195:5020-5036.
6. Hueber S., Matei A., Wohlmuth B.I. Efficient algorithms for problems with friction. SIAM J. Sci. Comput. 2007, 29(1):70-92.
7. Puso M.A., Laursen T.A., Solberg J. A segment-to-segment mortar contact method for quadratic elements and large deformations. Comput. Methods Appl. Mech. Engrg. 2008, 197:555-566.
8. Hartmann S., Ramm E. A mortar based contact formulation for non-linear dynamics using dual lagrange multipliers. Finite Elem. Anal. Des. 2008, 44:245-258.
9. Popp A., Gee M.W., Wall W.A. A finite deformation mortar contact formulation using a primal-dual active set strategy. Int. J. Numer. Methods Engrg. 2009, 79:1354-1391.
10. Popp A., Gitterle M., Gee M.W., Wall W.A. A dual mortar approach for 3D finite deformation contact with consistent linearization. Int. J. Numer. Methods Engrg. 2010, 83:1428-1465.
11. Gitterle M., Popp A., Gee M.W., Wall W.A. Finite deformation frictional mortar contact using a semi-smooth newton method with consistent linearization. Int. J. Numer. Methods Engrg. 2010, 84:543-571.
12. Hesch C., Betsch P. A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems. Int. J. Numer. Methods Engrg. 2009, 77:1468-1500.
13. Tur M., Fuenmayor J., Wriggers P. A mortar-based frictional contact formulation for large deformations using lagrange multipliers. Comput. Methods Appl. Mech. Engrg. 2009, 198:2860-2873.
14. 1-interpolations for two-dimensional frictional contact problems. Int. J. Numer. Methods Engrg. 2001, 51:1469-1495.
15. Padmanabhan V., Laursen T.A. A framework for development of surface smoothing procedures in large deformation frictional contact analysis. Finite Elem. Anal. Des. 2001, 37:173-198.
16. Al-Dojayli M., Meguid S.A. Accurate modeling of contact using cubic splines. Finite Elem. Anal. Des. 2002, 38:337-352.
17. Puso M.A., Laursen T.A. A 3D contact smoothing method using gregory patches. Int. J. Numer. Methods Engrg. 2002, 54:1161-1194.
18. L. Krstulovic, C1-continuous formulation for finite deformation contact, Ph.D. Thesis, Universitat Hannover, 2001.
19. Chamoret D., Saillard P., Rassineux A., Bergheau J.M. New smoothing procedures in contact mechanics. J. Comput. Appl. Math. 2004, 168:107-116.
20. Tur M., Fuenmayor F.J., Rodenas J.J., Giner E. 3D analysis of the influence of specimen dimensions on fretting stresses. Finite Elem. Anal. Des. 2003, 39(10):933-949.
21. M. Tur, Modelado de problemas de contacto mediante elementos finitos utilizando tcnicas de interaccin segmento-segmento, Ph.D. Thesis, Universitat Politecnica de Valencia, 2008.