Contact Interaction between an Infinite or Finite Stringer and Elastic Semi-Infinite Plate with a Finite Vertical Crack Coming out to the Stringer by One End

Abstract:

Problems on contact interaction between continuous or discontinuous infinite stringer or with a stringer of finite length with an elastic semi-infinite plate, having a finite crack, which vertically comes out to the lower bound of the stringer, are considered. The edges of the crack are loaded by vertical to them symmetric forces, and the upper bounds of the stringers are loaded by symmetrically distributed tangential forces.

• Periodical: Advanced Materials Research (Volume 1020)
• Pages: 253-257
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1020.253
• Online since: October 2014
• Authors: Suren Mkhitaryan*
• Keywords: Contact Stress, Crack, Elastic Plate, Stringer

References

[1] E. Melan, A contribution to the theory of welded joints, Ingr. Arch., V. 3, No2 (1932), 123-129. (in German).

[2] M. L Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extentions, J. of App. Mech. V. 19, No. 4 (1952) 526-528.

DOI: 10.1115/1.4010553

[3] J.L. Sanders Jr., Effect of a stringer on the stress concentration due to a crack in a thin sheet, NASA, Techn. Rept, (1959), R-13.

[4] R. Greif, J.L. Sanders Jr., The effect of a stringer on the stress in a cracked Sheet, Office Naval Res. Tecn. Rept 17, Div. Engang Harvard Univ., June, (1963).

[5] R. Greif, J.L. Jr. Sanders, The effect of a stringer on the stress in a cracked sheet, J. Appl. Mech. Transactions of the ASME, Ser. E, N1 (1965), 66-74 (Russian translation).

[6] S. M Mkhitaryan, K.L. Aghayan, On one periodical contact problem for an elastic strip weakened by cracks and reinforced by elastic stringers, Izvestiya AS Arm. SSR, Mechanics, V. 31, N 3 (1978) (in Russian).

[7] V.M. Alexsandrov, S.M. Mkhitaryan, Contact problems for bodies with thin coverings and interlayer, Nauka, Moscow, 1983 (in Russian).

[8] L.A. Wigglesworth, Stress distribution in a notched plate, Mathematica, 4, (1957), 76-79.

[9] W.W. Panasyuk, M.P. Sawruk, A.P. Datsishin, Distribution of stresses near the cracks in plates and shells. Naukova Dumka, Kiev (1976) (in Russian).

[10] E F. Erdogan, G. D Gupta, T. S Cook, The numerical solutions of singular integral equations. Methods of Analysis a solution of crack problems, Noordhoff Intern. Publ., 1973, pp.368-425.

DOI: 10.1007/978-94-017-2260-5_7

[11] P.S. Theocaris, N.I. Ioakimidis, Numerical integration methods for the solution of singular integral equations, Quart. Appl Math., V 35, No1, (1977), 173-185.

DOI: 10.1090/qam/445873

[12] I.Y. Shtaerman, Contact problem of theory elasticity, Gostechizdat, Moscow –Leningrad, (1949).