Stress intensity sensitivities via hypersingular boundary integral equations

Computational Mechanics

Volumn 23, Issue 5, 1999, Pages 389-396

  Zhang, D ^a   Rizzo, F J ^a   Rudolphi, T J ^a  

^a Iowa State University of Science and Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CRACKS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; STRESS INTENSITY FACTORS;

CRACK SIZE CURVES; GLOBAL REGULARIZATION; HYPERSINGULAR BOUNDARY INTEGRAL EQUATIONS; LOCAL REGULARIZATION;

SENSITIVITY ANALYSIS;

EID: 0032632124     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050417     Document Type: Article

References (18)

1. Aithal R, Saigal S, Mukherjee S (1990) Three dimensional boundary element implicit differentiation formulation for design sensitivity analysis. Math. Comp. Modeling 15:1-10
2. Aithal R, Saigal S (1991) Adjoint structure approach for shape sensitivity analysis using BEM. Trans. ASCE J. Eng. Mech. 116:2663-2680
3. Aliabadi MH, Rooke DP (1991) Numerical Fracture Mechanics. Southampton: Computational Mechanics Publications
4. Barone R, Yang RJ (1988) Boundary integral equations for recovery of design sensitivities in shape optimization. AIAA J. 26:589-594
5. Barone R, Yang RJ (1989) A boundary element approach for recovery of shape sensitivities in three-dimensional elastic solids. Comp. Meth. Appl. Mech. Eng. 74:69-82
6. Kane JH, Saigal S (1988) Design sensitivity analysis of solids using BEM. Trans. ASCE J. Engng. Mech. 114:1703-1722
7. Krishnasamy G, Rizzo FJ, Liu Y (1991) Scattering of acoustic and elastic waves by cracklike objects: The role of hypersingular integrals. In: Thompson, DO and Chimenti, DE (eds): Review of progress in quantitative nondestructive evaluation, Vol. 11A. Plenum Press
8. Krishnasamy G, Schmerr LW, Rudolphi TJ, Rizzo FJ (1990) Hypersingular boundary integral equations: Some applications in acoustic and elastic wave scattering. J. Appl. Mech. 57:404-414
9. Liu Y, Rizzo FJ (1993) Ultrasonic scattering from open cracks in 3-D using a composite boundary integral equation formulation, In: Thompson, DO and Chimenti, DE (eds): Review of Progress in Quantitative Nondestructive Evaluation, Vol. 13A. Plenum Press
10. Liu Y, Rudolphi TJ (1991) Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations. Engng. Anal. with Bound. Elem. 8:301-311
11. Meguid SA (1989) Engineering Fracture Mechanics. New York: Elsevier Science Publishers Co., Inc. 122-130
12. Mellings SC, Aliabadi MH (1994) Three dimensional flaw identification using sensitivity analysis. In: Brebbia, CA (ed): Boundary Element Method XVI. Computational Mechanics Publications
13. Mukherjee S, Chandra A (1991) A boundary element formulation for design sensitivities in problems involving both geometric and material nonlinearities. Math. Comput. Modelling 15:245-255
14. Portela A, Aliabadi MH, Rooke DP (1992) The dual boundary element method: Effective implementation for crack problems. Int. J. Num. Meth. Eng. 33:1269-1287
15. Saigal S, Kane JH (1990) Design sensitivity analysis of boundary element substructures. AIAA J. 28:1277-1284
16. Tada H, Paris PC, Irwin GR (1973) The Stress Analysis of Crack Handbook. Hellertown, Pennsylvania: Del Research Corporation
17. Zhang D (1997) Sensitivity boundary integral equations with applications in fracture mechanics and acoustic design sensitivity analysis. Ph.D. dissertation, Department of Aerospace Engineering and Engineering Mechanics: Iowa State University
18. Zhang Q, Mukherjee S (1991) Second order design sensitivity analysis for linear elastic problems by the derivative boundary element method. Comput. Meth. Appl. Mech. Eng. 86:321-335