Boundary element analysis of contact problems using inverse techniques - Linear and quadratic elements

Journal of Strain Analysis for Engineering Design

Volumn 39, Issue 4, 2004, Pages 371-382

  Wang, P ^a   Becker, A A ^a   Jones, I A ^a   Hyde, T H ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Boundary element method; Contact; Inverse problem; Isochromatic and isoclinic images; Photoelasticity

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; INVERSE PROBLEMS; STRAIN MEASUREMENT; STRESSES; TRACTION (FRICTION);

CONTACT PROBLEMS; ISOCHROMATIC IMAGES; ISOCLINIC IMAGES;

PHOTOELASTICITY;

EID: 3142677152     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/0309324041223944     Document Type: Conference Paper

References (17)

1. Shekhara, K. C. and Antony, S. J. An experimental-numerical hybrid technique for elastic contact problem. Mechanics Structs Mach., 1994, 22(4), 487-504.
2. Kubo, S. Inverse problems related to the mechanics and fracture of solids and structures. Jap. Soc. Mech. Engrs Int., 1988, 31, 157-166.
3. Bezerra, L. M. and Saigal, S. A boundary element formulation for the inverse elastostatics problem (IESP) of flaw detection. Int. J. Numer. Meth. Engng, 1993, 36, 2189-2202.
4. Luciano, M. B. and Sunil, S. Inverse boundary traction reconstruction with the BEM. Int. J. Solids Structs, 1995, 32, 1417-1431.
5. Zhang, F., Kassab, A. J. and Nicholson, D. W. A boundary element solution of an inverse elasticity problem and applications to determining residual stress and contact stress. Int. J. Solids Structs, 1997, 34, 2073-2086.
6. Huang, C. and Shih, W. An inverse problem in estimating interfacial cracks in bimaterial by boundary element technique. Int. J. Numer. Meth. Engng, 1999, 45, 1547-1567.
7. Martin, T. J., Haderman, J. D. and Dulikravich, G. S. An inverse method for finding unknown surface tractions and deformations in elastostatics. Computers Structs, 1995, 56, 825-835.
8. Chen, D., Becker, A. A., Jones, I. A., Hyde, T. H. and Wang, P. Development of new inverse boundary element techniques in photoelasticity. J. Strain Analysis, 2001, 36(3), 253-264.
9. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. Numerical Recipes in FORTRAN: the Art of Scientific Computing, 2nd edition, 1992 (Cambridge University Press, Cambridge).
10. Hansen, P. C. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems, version 3.0 for Matlab 5.2. Report, Technical University of Denmark, 1992.
11. Wang, P., Becker, A. A., Jones, I. A. and Hyde, T. H. Sensitivity of inverse boundary element techniques to errors in photoelastic measurements. In Proceedings of the 8th International Conference on Civil Structural Engineering Computers (Ed. B. H. V. Topping), 2001 (CivilComp Press, Stirling).
12. Love, A. E. H. A Treatise on the Mathematical Theory of Elasticity, 4th edition, 1944 (Dover Publications, New York).
13. Schnur, D. S. and Zabaras, N. Finite element solution of two-dimensional inverse elastic problems using spatial smoothing. Int. J. Numer. Meth. Engng, 1990, 30, 57-75.
14. Becker, A. A. The Boundary Element Method in Engineering, 1992 (McGraw-Hill, London).
15. Brebbia, C. A., Telles, J. C. F. and Wrobel, L. C. Boundary Element Techniques, 1983 (Springer-Verlag, Berlin).
16. Banerjee, P. K. The Boundary Element Methods in Engineering, 1994 (McGraw-Hill, New York).
17. Jones, I. A. and Wang. P. Polarimetry-based phase-stepping strategy for RGB photelasticity (submitted).