An efficient viscoelastic formulation for steady-state rolling structures

Computational Mechanics

Volumn 22, Issue 5, 1998, Pages 395-403

  Nasdala, L ^a   Kaliske, M ^a   Becker, A ^b   Rothert, H ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b Computational Mechanics ^*  (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PRANDTL NUMBER; STIFFNESS MATRIX; STRUCTURAL LOADS;

STEADY-STATE ROLLING STRUCTURES; TRANSIENT FORMULA;

VISCOELASTICITY;

EID: 0032318595     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050371     Document Type: Article

References (29)

1. Argyris J, Doltsinis IS, da Silva VD (1991) Constitutive modelling and computation of non-linear viscoelastic solids. Part i: Rheological models and numerical integration techniques. Comp. Meth. Appl. Mech. Eng. 88:135-163
2. Atluri SN, Reissner E (1989) On the formulation of variational theorems involving volume constraints. Comput. Mech. 5:337-344
3. Backer A, Seifert B (1997) Simulation of wear with a FE tyre model using a steady state rolling formulation. In M.H. Aliabadi & A. Samartin (Eds.), Computational methods in contact mechanics
4. Christensen RM (1982) Theory of viscoelasticity (2 ed.), Academic Press, London
5. Faria LO (1989) Tire modeling by finite elements. PhD thesis, The University of Texas at Austin
6. Faria LO, Oden JT, Yavari B, Tworzydlo WW, Bass JM, Becker EB (1992). Tire modeling by finite elements. Tire Science and Technology, 20(1):33-65
7. Findley WN, Lai JS, Onaran K (1976) Creep and relaxation of nonlinear viscoelastic materials. North-Holland, Amsterdam
8. Hughes TJR (1987) The finite element method. Prentice-Hall, Englewood Cliffs
9. Hughes TJR, Pister KS (1978) Consistent linearization in mechanics of solids and structures. Computers & Structures, 8:391-397
10. Johnson AR, Quigley CJ, Freese CE (1995) A viscohyperelastic finite element model for rubber. Comp. Meth. Appl. Mech. Eng. 127:163-180
11. Kaliske M, Rothert H (1997) Formulation and implementation of three-dimensional viscoelasticity at small and finite strains. Comput. Mech. 19:228-239
12. Kaliske M, Rothert H (1998) Constitutive approach to rate-independent properties of filled elastomers. Int. J. Solids and Structures 35(17):2057-2071
13. Le Tallec P, Rahier C (1994) Numerical models of steady rolling for non-linear viscoelastic structures in finite deformations. Int. J. Num. Meth. Eng. 37:1159-1186
14. Le Tallec P, Rahier C, Kaiss A (1993) Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation. Comp. Meth. Appl. Mech. Eng. 109:233-258
15. Nackenhorst U (1992) Zur Berechnung schnell rollender Reifen mit der Finite Element Methode. PhD thesis, Insitut für Mechanik, Universität der Bundeswehr Hamburg
16. Padovan J, Paramodilok O (1983) Generalized solution of time dependent traveling load problem via moving finite element scheme. Journal of Sound and Vibration, 91:195-209
17. Padovan J, Zeid I (1980) On the development of traveling load finite elements. Computers & Structures, 12:77-83
18. Padovan J, Zeid I (1981) Finite element modeling of rolling contact. Computer & Structures, 14:163-170
19. Padovan J, et al. (1987) Finite element analysis of steady and transiently moving/rolling nonlinear viscoelastic solids. Computers & Structures, 27:249-286
20. Poon H, Ahmad MF (1988) A material point time integration precedure for anisotropic, thermo rheologically simple, viscoelastic solids. Comput. Mech. 21:236-242
21. Simo JC (1987) On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects. Comp. Meth. Appl. Mech. Eng. 60:153-173
22. Simo JC, Miehe C (1992) Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comp. Meth. Appl. Mech. Eng. 98:41-104
23. Simo JC, Taylor RL (1991) Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms. Comp. Meth. Appl. Mech. Eng. 85:273-310
24. Simo JC, Taylor RL, Pister KS (1985) Variational and projection methods for the volume constraint in finite deformation elastoplasticity. Comp. Meth. Appl. Mech. Eng. 51:177-208
25. Taylor RL, Pister KS, Goudreau GL (1970) Thermomechanical analysis of viscoelastic solids. Int. J. Num. Eng. 2, 2:45-59
26. Wriggers P (1988) Konsistente Linearisierungen in der Kontinuumsmechanik und ihre Anwendung auf die Finite-Elemente-Methode. Habilitation, Insitut für Mechanik, Universität Hannover, Bericht Nr. F 88/4
27. Zheng D (1995) Frictional rolling contact element. (Continental General Tire, Interal Report AN 90 033)
28. Zienkiewicz OC, Taylor RL (1989) The finite element method. volume 1: Basic formulation and linear problems (4 ed.). McGraw-Hill, London
29. Zienkiewicz OC, Taylor RL (1991) The finite element method. volume 2: Solid and fluid mechanics, dynamics and non-linearity (4 ed.). McGraw-Hill, London