×

Boundary integral formulation of crack problems. (English) Zbl 0578.73097

Summary: In this paper the non-perturbative theory of crack dislocations is developed on the basis of an advanced boundary integral formulation of crack problems. This distribution of crack dislocations is determined by the boundary integro-differential equations derived from the regularized integral representation of the stress field. The method is applicable to the cracked body with any crack profile and the topics discussed include the formulation of cracks problems in: (i) elastostatics; (ii) elastodynamics; and (iii) thermoelasticity.

MSC:

74R05 Brittle damage
74S99 Numerical and other methods in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics
45E99 Singular integral equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] ; , Dislocations and the theory of fracture. In: (Ed.), Fracture, vol. 1, Academic Press, New York 1968.
[2] Boundary integral equation method for three dimensional clastic fracture mechanics analysis, Air Force Office of Scientific Research TR-75–0813 (1975).
[3] Fracture mechanics stress analysis. In: (Ed.), Progress in Boundary Element Method, vol. 2, Pentech Press, London 1983. · Zbl 0561.73081
[4] Snyder, Int. J. Fracture 11 pp 315– (1975)
[5] Cruse, Appl. Math. Modelling 2 pp 287– (1978)
[6] Weaver, Int. J. Solids Structures 13 pp 321– (1977)
[7] Sládek, Appl. Math. Modelling 6 pp 374– (1982)
[8] Sládek, Acta Technica ČSAV 29 pp 649– (1984)
[9] Takakuda, Bull. JSME 26 pp 487– (1983) · doi:10.1299/jsme1958.26.487
[10] Sládek, Appl. Math. Modelling 8 (1984)
[11] Sládek, Engng. Analysis 1 pp 135– (1984)
[12] Sládek, Appl. Math. Modelling 7 pp 241– (1983)
[13] Sládek, Appl. Math. Modelling 8 pp 27– (1984)
[14] Sládek, Appl. Math. Modelling 8 pp 413– (1984)
[15] ; , Boundary element techniques in engineering, Newnes-Butterworths, London 1980.
[16] Rudolphi, Int. J. Fracture 14 pp 527– (1978)
[17] Rizzo, J. Composite Mat. 4 pp 36– (1970) · doi:10.1177/002199837000400306
[18] Vogel, J. Elasticity 3 pp 203– (1973)
[19] ; ; , Stress analysis by the boundary integral equation method (in Slovak), Veda, Bratislava 1985.
[20] Dynamic problems of thermoelasticity, PWN, Warsaw 1975.
[21] Sládek, Int. J. Solids Structures 19 pp 425– (1983)
[22] Guidera, J. Elasticity 5 pp 59– (1975)
[23] Sládek, Stroj. čas. 33 pp 427– (1982)
[24] Sládek, Acta Technica čsav 27 pp 718– (1982)
[25] Sládek, Staveb. čas. 32 pp 633– (1984)
[26] ; , Dynamic stress intensity factors studied by boundary integro-differential equations, Int. J. Num. Meth. Engng. (to be published). · Zbl 0584.73130
[27] ; ; , Non-stationary problems of linear fracture mechanics by boundary element method. In: (Ed.), Advances in Fracture Research vol. 2. Proc. 6th Int. Conf. on Fracture, New Delhi December 1984. Pergamon Press, Oxford 1984, pp. 1129–1136.
[28] Sládek, Ingenieur-Archiv 54 pp 275– (1984)
[29] Sládek, Engng. Analysis 2 pp 155– (1985)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.