Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method

CMES - Computer Modeling in Engineering and Sciences

Volumn 2, Issue 1, 2001, Pages 73-85

  Chao, Ru Min ^b   Chen, Yen Ji ^b   Lin, F C ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b NONE

Author keywords

Conjugate Gradient Method; Crack; Displacement; Dual Boundary Integral Equation; Inverse Problem; Measurement Error; Regularization Method; Stress

Indexed keywords

EID: 0041405522     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Alifanov, O.M.((1974): Solution of an inverse problem of heat conduction by iteration methods, J. of Engineering Physics, 26, pp.471-476.
2. Becker, A. A.(1992): The boundary element Method in Engineering, McGRAW-HILL.
3. Figure 18 : The inverse analysis using the regularization method with or without considering the existence of a small crack. 11 stress sensor locating at y=9.7 and the crack being at y=9.0.
4. nd Edition, Computational Mechanics Publications.
5. Chen, J. T. and H. K. Hong,(1999): Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series, Applied Mechanics Reviews, ASME, Vol. 52, No.1, pp.17-33.
6. Gao, Z. and Mura, T.(1989): Inversion of residual stresses from surface displacements", J. Appl. Mech, ASME Trans., 54, pp.508-513.
7. Hong, H. K. and Chen, J. T.(1988): Generality and special cases of dual integral equations of elasticity, Journal of the Chinese Society of Mechanical Engineers, Vol.9, No.1, pp.1-9.
8. Hong, H.K. and Chen, J.T.(1988) Derivations of integral equations of elasticity, J. Eng. Mech., ASCE, 114, No.6, pp.1028-1044.
9. Huang, C. H. and Shin, W. Y.(1997): A boundary Element based solution of an inverse elasticity problem by conjugate gradient and regularization method, Inverse problems in engineering, 4, pp.295-321.
10. Huang, C.H. and Shih, W.Y.(1999): An inverse problem in estimating interfacial cracks in bimaterials by boundary element technique", Int. J. Numer. Meth. Engng., 45, 1547-1567.
11. Ingham, D. B. and Wrobel, L. C.(1997): Boundary integral formulations for Inverse Analysis, CMP, UK.
12. Kammerer, W.J. and Nashed, M.Z.(1972): On the convergence of the conjugate gradient method for singular linear operator equations, SIAM J. Numer. Analysis, 9 (1) pp.165-181.
13. Koya, T., Yeih, W. and Mura, T.(1993): An inverse problem in elasticity with partially over-prescribed boundary conditions, part II: Numerical results and examples, J. Appl. Mech. ASME Trans, 60, pp. 601-606.
14. Kubo, S.(1988): Inverse problems related to the mechanics and fracture of solids and structures, JSME International Journal, Vol.31, pp. 157-166.
15. Maniatty, A. and Zabaras, N.(1994): Investigation of regularization parameters and error estimating in inverse elasticity problem, Int. J. Numer. Meth. Eng., 37, pp. 1039-1052.
16. Mellings, S. C. and Aliabadi, M. H.(1995): Flaw identification using the boundary element method, Int. J. Num. Meth, Engng., 38, pp. 399-419.
17. Mi Yaoming(1996): Three-Dimensional Analysis of Crack Growth, Computational Mechanics Publications, Southampton, U. K.
18. Pasquetti, R and Petit, D.(1995): Inverse Diffusion by Boundary elements, Engineering Analysis with Boundary Elements, 15, pp. 197-205.
19. Portela, A. and Aliabadi, M. H.(1992): The dual boundary element method: Effective implementation for crack problem, Int. J. Numer. Meth. Engng., 33, pp. 1269-1287.
20. Portela, A.(1993): Dual boundary element analysis of crack growth, Topics in Engineering. 14, CMP, UK.
21. Yeih, W., Koya, T. and Mura, T.(1993): An inverse problem in elasticity with partially over-prescribed boundary conditions, part I: Theoretical approach", J. Appl. Mech. ASME Trans., 60, pp. 595-600,.