A boundary element solution of an inverse elasticity problem and applications to determining residual stress and contact stress

International Journal of Solids and Structures

Volumn 34, Issue 16, 1997, Pages 2073-2086

  Zhang, F ^a   Kassab, A J ^a   Nicholson, D W ^a  

^a University of Central Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INVERSE PROBLEMS; MEASUREMENT ERRORS; PROBLEM SOLVING; RESIDUAL STRESSES; SENSITIVITY ANALYSIS; STRAIN RATE; TRACTION (FRICTION);

CONTACT STRESS;

ELASTICITY;

EID: 0031166348     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00152-7     Document Type: Article

References (22)

1. Alifanov, O. M. (1994). Inverse Heat Transfer Problems, Springer-Verlag, New York.
2. Banerjee, P. K. (1994). Boundary Element Methods in Engineering, McGraw-Hill, New York.
3. Beck, J. V., Blackwell B. and St. Clair, Jr., C. R. (1985). Inverse Heat Conduction: Ill-Posed Problems, Wiley-Interscience. New York.
4. Bezerra, L. and Saigal, S. (1995). Inverse boundary traction reconstruction with BEM. International Journal of Solids and Structures 32, 1417-1431.
5. Brebbia, C. A., Telles, J. C. F. and Wrobel, L. C. (1984). Boundary Element Techniques, Springer-Verlag, New York.
6. Bui, H. D. (1994). Inverse Problems in the Mechanics of Materials: An Introduction, CRC Press. Boca Raton.
7. Chen, W. H. and Chen, T. C. (1992). Boundary element analysis for contact problems with friction. Computers and Structures 45, 431-438.
8. Das, S. (1991). Numerical solution of inverse problems in mechanics using the boundary element method. Ph.D. dissertation, Iowa State University.
9. Kihara, J., Shen, G., Yamauchi, T., Mimura, H., Makino, H. and Liu, B. (1983). Some applications of BEM for evaluation of the deformation of the tool and the calculation of the residual stress distribution in the product in the plastic working process. In Proc. 5th Int. Conf. Boundary Elements (eds C. A. Brebbia et al.), pp. 393-405, Hiroshima, Springer-Verlag, New York.
10. Maniatty, A., Zabaras, N. and Stelson, K. (1989). Finite element analysis of some inverse elasticity problem. Journal of Engineering Mechanics 115, 1303-1317.
11. Martin, T., Halderman, J. and Dulikravich, G. (1995). An inverse method for finding unknown surface traction and deformations in elastostatics. Computers and Structures 56, 825-835.
12. Oda, J. and Shinada, T. (1987). An inverse analysis technique to obtain contact stress distribution. Transactions of the JSME 53, 1614-1621.
13. Rybicki, E., Shadley, J., Sandhu, A. and Stonesifer, R. (1988). Experimental and computational residual stress evaluation of a weld clad plate and machined test specimens. Journal of Engineering Materials and Technology 110, 297-304.
14. Schnur, D. S. and Zabaras, N. (1990). Finite element solution of two dimensional inverse elastic problems using spatial smoothing. International Journal of Numerical Methods in Engineering 30, 57-75.
15. Sirkis, J. S. and Lo, Y.-L. (1994). Simultaneous measurement of two strain components using 3 × 3 and 2 × 2 coupler-based passive demodulation of optical fiber sensors. IEEE Journal of Lightware Technology 12, 2153-2161.
16. Sutton, M., Howard, R. and Dickerson, J. (1991). A constrained least square approach for hybrid stress analysis of elastic bodies. Engineering Analysis 8, 58-67.
17. Tikhonov, A. N. and Arsenin, V. Y. (1977). Solution of Ill-posed Problems. John Wiley & Sons.
18. Ueda, Y., Fukuda, K., Nakacho, K. and Endo, S. (1975). A new measuring method of residual stress with the aid of finite element method and reliability of estimated values. Transactions of the JWRI (Welding Research Institute of Osaka University, Japan) 4, 19-27.
19. Yeih, W., Koya, T. and Mura, T. (1993). An inverse problem in elasticity with partially overprescribed boundary conditions, Part 1 : Theoretical approach. Journal of Applied Mechanics 60, 595-600.
20. Zabaras, N., Morellas, V. and Schnur, D. (1989). Spatially regularized solution of inverse elasticity problem using the BEM. Communications in Applied Numerical Methods 5, 547-553.
21. Zhang, F., Kassab, A. J. and Nicholson, D. W. (1994). Application of the boundary element method to meaasurement of residual stress. In BETECH IX (eds C. A. Brebbia and A. J. Kassab). pp. 165-172, Computational Mechanics Publications, Boston.
22. Zhang, F., Kassab, A. J. and Nicholson, D. W. (1995). A boundary element inverse approach for determining residual stress and contact pressure. In Boundary Elements XVII (eds C. A. Brebbia et al.). pp. 331-338, Computational Mechanics Publications, Boston