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Z.A. Davtyan, M.S. Mkrtchyan, and S.M. Mkhitaryan, "Application of a Contact Model due to L. A. Galin to Problems of Contact Interaction between Stringers and Massive Deformable Bodies," Mech. Solids. 51 (1), 22-38 (2016)
Year 2016 Volume 51 Number 1 Pages 22-38
DOI 10.3103/S0025654416010039
Title Application of a Contact Model due to L. A. Galin to Problems of Contact Interaction between Stringers and Massive Deformable Bodies
Author(s) Z.A. Davtyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, pr. Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, davtyanzaven@gmail.com)
M.S. Mkrtchyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, pr. Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia)
S.M. Mkhitaryan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, pr. Marshala Bagramyana 24B, Erevan, 375019 Republic of Armenia, smkhitaryan@mechins.sci.am)
Abstract L. A. Galin's contact model for a narrow beam bending on an elastic half-space and Melan's contact model for a stringer are used to consider two problems of contact interaction between one or two identical symmetrically loaded stringers with small rectangular cross-sections and an elastic half-space. The basic characteristics of these problems are expressed by explicit formulas, and the results of their numerical analysis are given as well.
Keywords contact model, contact problem, stringer, elastic half-space, contact stresses
References
1.  E. Melan, "Ein Beitrag zur Theorie geschweisster Verbindungen," Ingr. Arch. 3 (2), 123-129 (1932).
2.  W. T. Koiter, "On the Diffusion of Load from a Stiffener into a Sheet," Quart. J. Mech. Appl. Math. 8 (2), 164-178 (1955).
3.  H. Bufler, "Zur Krafteinleitung in Scheiben über geschweisste Verbindungen," Österr. Ing. Arch. 18 (3-4), 284-292 (1964).
4.  R. Muki and E. Sternberg, "On the Diffusion of Load From a Transverse Tension Bar Into a Semi-Infinite Elastic Sheet," J. Appl. Mech. 35 (4), 737-746 (1968) [Prikl. Mekh. Tr. Amer. Obshch. Inzh.-Mekh. Ser. E (Russ. Transl.) 35 (4), 124-135 (1968)].
5.  L. A. Galin (Editor) The Development of Theory of Contact Problems in USSR (Nauka, Moscow, 1976) [in Russian].
6.  V. M. Alexandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers (Nauka, Moscow, 1983) [in Russian].
7.  N. Kh. Arutyunyan and S. M. Mkhitaryan, "Certain Contact Problems for a Half-Space Reinforced by Elastic Gussets," Prikl. Mat. Mekh. 36 (5), 770-787 (1972) [J. Appl. Math. Mech. (Engl. Transl.) 36 (5), 727-743 (1972)].
8.  L. A. Galin, "On the Winkler-Tsimmerman Hypothesis for Beams," Prikl. Mat. Mekh. 7 (4), 293-300 (1943) [J. Appl. Math. Mech. (Engl. Transl.)].
9.  L. A. Galin, Contact Problems of Elasticity and Viscoelasticity (Nauka, Moscow, 1980) [in Russian].
10.  I. Ya. Shtaerman, Contact Problem of the Theory of Elasticity (Gostekhizdat, Moscow-Leningrad, 1949) [in Russian].
11.  V. M. Alexandrov and V. Yu. Salamatova, "The Contact Problem for a Strip Cover Plate Interacting with an Elastic Half-Space," Prikl. Mat. Mekh. 72 (4), 678-680 (2008) [J. Appl. Math. Mech. (Engl. Transl.) 72 (4), 489-491 (2008)].
12.  N. M. Borodachev, "Indentation of a Narrow Rectangular Punch into an Elastic Half-Space," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 135-141 (1970) [Mech. Solids (Engl. Transl.)].
13.  N. M. Borodachev and L. A. Galin, "Contact Problem for a Stamp with Narrow Rectangular Base," Prikl. Mat. Mekh. 38 (1), 125-130 (1974) [J. Appl. Math. Mech. (Engl. Transl.) 38 (1), 108-113 (1974)].
14.  V. M. Alexandrov, V. K. Antonov, and V. Yu. Salamatova, "Interaction of a Deformable Plate with a Stressed Half-Space," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 91-98 (2007) [Mech. Solids (Engl. Transl.) 42 (5), 737-743 (2007)].
15.  V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells (Naukova Dumka, Kiev, 1976) [in Russian].
16.  F. E. Erdogan, G. D. Gupta, and T. S. Cook, "The Numerical Solutions of Singular Integral Equations," in Mechanics of Fracture, Vol. 1: Methods of Analysis and Solutions of Crack Problems (Noordhoff Intern. Publ., Leyden, 1973), pp. 368-425.
17.  P. S. Theocaris and N. I. Ioakimidis, "Numerical Integration Methods for the Solution of Singular Integral Equations," Quart. Appl. Math. XXXV (1), 173-185 (1977).
18.  A. I. Lurie, Spatial Problems of Theory of Elasticity (Gostekhizdat, Moscow, 1955) [in Russian].
19.  I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Fizmatgiz, Moscow, 1963) [in Russian].
20.  G. P. Cherepanov, Mechanics of Fracture of Composite Materials (Nauka, Moscow, 1983) [in Russian].
Received 20 May 2013
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