On an inversion theorem for conical regions in elasticity theory
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OpenAlex topics: Advanced Mathematical Modeling in Engineering · Elasticity and Wave Propagation · Elasticity and Material Modeling
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References (24)
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1. H.Lamb, Hydrodynamics, Cambridge, University Press, 1895.10.5962/bhl.title.18729 ↗
2. M.Knein, Zur Theorie des Druckversuchs. Zeitschrift für angewandte Mathematik und Mechanik 6, 414 (1926).10.1002/zamm.19260060508 ↗
3. M.Knein, Der Spannungszustand bei ebener Formänderung und vollkommenen verhinderter Querdehnung. Abh. Aerodyn. Inst. Techn. Hochschule, Aachen, 7 (1927) 43.
4. M. L. Williams, Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending. Preceedings of First U.S. National Congress of Applied Mechanics, June 1951, Chicago, p. 325.
5. M. L. Williams, Surface stress singularities from various boundary conditions of plates in extension. J. Appl. Mech. Vol. 19 (4) (1952) p. 526.
6. S. N.Karp and F. C.Karal, The elastic-field behaviour in the neighborhood of a crack of arbitrary angle. Comm. Pure and Appl. Math. Vol. XV, (1962) pp. 413?421.
7. F. C.Karal and S. N.Karp, Stress behaviour in the neighborhood of sharp corners. Geophysics. Vol. XXIX, no. 3, (1964) pp. 360?369.10.1190/1.1439366 ↗
8. D. B. Bogy, On the plane elastostatic problem of a loaded crack terminating at a material interface. J. Appl. Mech. Vol. 38 (4), (1971) p. 911.10.1115/1.3408975 ↗
9. M. C. Kuo and D. B. Bogy, Plane solutions for traction problems on orthotropic unsymmetrical wedges and symmetrically twinned wedges. J. Appl. Mech. Vol. 41 (1), (1974) p. 203.10.1115/1.3423225 ↗
10. W. H.Wittrick, Stress singularities at diaphragm-web-flange junctions in box girders, Proc. Inst. Civ. Engrs, Part 2, 59 (1975) 79?89.
11. J. W. van de Graaf, Stress singularities in the corners of two interconnected wedges from different materials (in Dutch). Laboratory of Engineering Mechanics, Report no. 592, Oct. 1976. Delft Univ. of Technology.
12. J. P. Benthem, On the stress distribution in anisotropic wedges. Quarterly of Applied Mathematics. Vol. XXI, No. 3, (1963) p. 189.10.1090/qam/156517 ↗
13. A. E. H. Love, A treatise on the mathematical theory of elasticity, fourth edition.
14. T. R.Thomson and R. W.Little, End effects in a truncated semi-infinite cone. Quart. Journ. Mech. and Appl. Math., Vol. 23 (2), (1970) pp. 185?196.10.1093/qjmam/23.2.185 ↗
15. A. Erdélyi (editor), Higher trancendental functions, Vol. 1, New York, 1953.
16. Z. P.Ba?ant and L. M.Keer, Singularities of elastic stresses and of harmonic functions of conical notches or inclusions. Int. J. Solids Structures, 1974, Vol. 10, pp. 957?964.10.1016/0020-7683(74)90003-1 ↗
17. J. P.Benthem, State of stress at the vertex of a quarter-infinite crack in a half-space. Int. J. Solids Structures, 1977, Vol. 13, pp. 479?492.10.1016/0020-7683(77)90042-7 ↗
18. H.Walden and R. B.Kellogg, Numerical determination of the fundamental eigenvalue for the Laplace operator on a spherical domain. Journ. of Eng. Math., Vol. 11, No. 4, (1977) pp. 299?318.10.1007/BF01537090 ↗
19. R. A. Eubanks and E. Sternberg, On the completeness of the Boussinesq-Papkovich Stress Functions. J. Rat. Mech. Anal., 5 (1956) p. 735.10.1512/iumj.1956.5.55027 ↗
20. P. M.Morse and H.Feshbach, Methods of theoretical physics, Part I. McGraw-Hill Book Comp., New York 1953.
21. H. Bateman, Partial differential equations of mathematical physics. Cambridge, England (1959).
22. C. J. Tranter, The use of the Mellin transform in finding the stress distribution in an infinite wedge. Quart. J. Mech. Appl. Math., Vol. 1 (1948) page 125.10.1093/qjmam/1.1.125 ↗
23. I. N.Sneddon, Fourier transforms, McGraw-Hill Book Comp. Inc., New York, 1951.
24. V. A. Kondratev, Boundary problems for elliptic equations in domains with conical or angular points. Transactions of the Moscow Mathematical Society. Vol. 16, pp. 209?292, 1967. Translated by the American Mathematical Society, pp. 227?313.