journal article·1973-03

Slicing procedure for approximate three-dimensional Green's functions for cracks in plates of finite thickness

D. O. Harris

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Abstract

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Research context

OpenAlex topics: Numerical methods in engineering · Mechanical Behavior of Composites · Material Properties and Failure Mechanisms

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References (20)

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1. A.A. Griffith, The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society of London, Series A, Vol. 221 (1920) 163–198.
2. G.R. Irwin, Fracture, Handbuch der Physik, Vol. VI, 551–590, Springer-Verlag, Berlin (1960).
3. G.R. Irwin, Fracture Mechanics, in Structural Mechanics, 567–591, edited by Goodier and Hoff, Pergamon Press, New York (1960).
4. G. C. Sih, M. L. Williams and J. L. Swedlow, Three-Dimensional Stress Distribution Near a Sharp Crack in a Plate of Finite Thickness, Report No. AFML-TR-66-242, California Institute of Technology Graduate Aeronautical Laboratories, Novemeber (1966).
5. R.J. Hartranft and G.C. Sih, The Use of Eigenfunction Expansions in the General Solution of Three-Dimensional Crack Problems, Journal of Mathematics and Mechanics, 19 (1969) 123–138.
6. R. J. Hartranft and G. C. Sih, An Approximate Three-Dimensional Theory of Plates with Application to Crack Problems, International Journal of Engineering Science, (in press).
7. P.C. Paris and G.C. Sih, Stress Analysis of Cracks, in Fracture Toughness Testing and Its Applications, ASTM Special Technical Publication, No. 381, 30–81, American Society for Testing and Materials, Philadelphia (1965).10.1520/STP26584S ↗
8. L.A. Galin, Contact Problems in the Theory of Elasticity, translated from the Russian by H. Moss, edited by I. N. Sneddon, available from the Department of Mathematics, School of Physical Sciences and Applied Mathematics, School of Physical Sciences and Applied Mathematics, North Carolina State University, Raleigh, North Carolina (1961).
9. Ia.S. Ufliand, Elastic Equilibrium of an Infinite Elastic Body Weakened by an External Circular Crack, Journal of Applied Mathematics and Mechanics, (USSR), 23 1 (1959) 134–144.10.1016/0021-8928(59)90062-0 ↗
10. M. Lowengrub and I. N. Sneddon, The Distribution of Stress in the Vicinity of an External Crack in an Elastic Solid, International Journal of Engineering Science, 3, 4 (September 1965) 451–460.10.1016/0020-7225(65)90028-5 ↗
11. F. W. Smith, A. S. Kobayashi and A. F. Emery, Stress Intensity Factors for Penny Shaped Cracks, Part 1-Infinite Solid, Journal of Applied Mechanics, 34, 4 (December 1967) 947–952.10.1115/1.3607861 ↗
12. G.C. Sih and H. Liebowitz, Mathematical Theories of Brittle Fracture, in Fracture: An Advanced Treatise, 2. Mathematical Fundamentals, edited by H. Liebowitz, 68–190, Academic Press, New York (1968).
13. F. Erdogan, On the Stress Distribution in Plates with Collinear Cuts under Arbitrary Loads, Procedures of the Fourth U. S. National Congress of Applied Mechanics (1962) 547–553.
14. L.B.W. Jolley, Summation of Series, Dover Publications, Inc., New York (1961).
15. I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York (1965).
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, 55, 1964.
17. H.B. Dwight, Tables of Integrals and Other Mathematical Data, Fourth Edition, the MacMillian Company, New York (1961).
18. R. J. Hartranft and G. C. Sih, Effect of Plate Thickness on the Bending Stress Distribution Around Through Cracks, Journal of Mathematics and Physics, 47, 3 (September 1968) 276–291.
19. E. Reissner, The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, Journal of Applied Mechanics, 12 (1945) A-69-A-77.
20. Neng-Ming Wang, Effects of Plate Thickness on the Bending of an Elastic Plate Containing a Crack, Journal of Mathematics and Physics, 47, 4 (December 1968) 371–390.10.1002/sapm1968471371 ↗