Linear viscoelastic boundary element formulation for steady state moving loads

Engineering Analysis with Boundary Elements

Volumn 28, Issue 7, 2004, Pages 815-823

  González, José A ^a   Abascal, Ramón ^a  

^a UNIVERSIDAD DE SEVILLA   (Spain)

Author keywords

Boundary element method; Steady state moving loads; Viscoelasticity

Indexed keywords

INERTIAL EFFECTS; LINEAR VISCOELASTICS; STATIC LOADS; STEADY STATE MOVING LOADS;

BOUNDARY ELEMENT METHOD; DEFORMATION; ELASTIC MODULI; FINITE ELEMENT METHOD; LOADS (FORCES); NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PRESSURE DISTRIBUTION; PROBLEM SOLVING; TENSILE TESTING; VELOCITY MEASUREMENT;

VISCOELASTICITY;

EID: 3142675737     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2003.10.005     Document Type: Article

References (19)

1. Padovan J., Zeid I. Finite element analysis of steadily moving contact field. Comp Struct. 2:1984;111-200.
2. Rasmussen K.M., Nielsen S.R.K., Kirkegaard P.H. Boundary element method in time domain for a moving time-dependent force. Comp Struct. 79:2001;691-701.
3. Pang G., Atluri S.N. Dynamic response of finite sized elastic runways subjected to moving loads: a coupled BEM/FEM approach. Int J Num Meth Engng. 38:1995;3143-3166.
4. Kusama T., Mitsui Y. Boundary element method applied to linear viscoelastic analysis. Appl Math Modelling. 6:1982;285-290.
5. Sim W.J., Kwak B.M. Linear viscoelastic analysis in time domain by boundary element method. Comp Struct. 29:(4):1988;531-539.
6. Schanz M. A boundary element formulation in time domain for viscoelastic solids. Comm Num Meth Engng. 15:1999;799-809.
7. Carini A., Donato O. Fundamental solutions for linear viscoelastic continua. Int J Solids Struct. 29:(23):1992;2989-3009.
8. Lee S.S., Sohn Y.S., Park S.H. On fundamental solutions in time-domain boundary element analysis of linear viscoelasticity. Engng Anal Bound Elem. 13:1994;211-217.
9. Christensen R.M. Theory of viscoelasticity. 1971;Academic Press, New York.
10. Leiman M.J., Fisher G.M.C. The linear theory of viscoelasticity. Truesdell C., Flügge S. Mechanics of solids. Encyclopedia of physics. vol. III:1973;Springer, Berlin.
11. Alfrey T. Non-homogeneous stresses in viscoelastic media. Q Appl Math. 2:1944;113-119.
12. Alfrey T. Methods of representing the properties of viscoelastic materials. Q Appl Math. 3:1945;143-150.
13. Braat GFM. Theory and experiments on layered, viscoelastic, cylinders in rolling contact. PhD Thesis, Delft Technical University, Netherlands; 1993.
14. Wang G., Knothe K. Stress analysis for rolling contact between two viscoelastic cylinders. Trans ASME. 60:1993;310-317.
15. Brebbia C.A., Dominguez J. Boundary elements: an introductory course. Computational mechanics publications. 1992.
16. Carini A., Diligenti M., Maier G. Boundary integral equation analysis in linear viscoelasticity: variational and saddle point formulations. Comput Mech. 8:1991;87-98.
17. Abramowitz M., Stegun I.A. Handbook of mathematical functions with formulas, graphs, and mathematical tables. 1964;US Department of Commerce.
18. Amos D.E. Collected algorithms from ACM. Trans Math Software. 16:1990;178-182.
19. Hunter S.C. The rolling contact of a rigid cylinder with a viscoelastic half space. J Appl Mech. 28:(4):1961;611-617.