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Methods of homogeneous solutions and superposition in static boundary-value problems for an elastic half strip

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Literature Cited

  1. I. I. Vorovich, “Some mathematical questions in the theory of plates and shells”, in: Proceedings of the Second All-Union Symposium of Theoretical and Applied Mechanics. Mechanics of Solids [in Russian], Nauka, Moscow (1966), pp. 116–136.

    Google Scholar 

  2. I. I. Vorovich and V. E. Koval'chuk, “On the basic properties of a system of homogeneous solutions”, Prikl. Mat. Mekh.,31, No. 5, 861–869 (1967).

    Google Scholar 

  3. V. T. Grinchenko, Equilibrium and Stationary Oscillations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  4. G. Yu. Dzhanelidze and V. K. Prokopov, “Method of homogeneous solutions in the mathematical theory of elasticity”, in: Proceedings of the Fourth All-Union Mathematical Symposium [in Russian], Nauka, Leningrad (1964), pp. 551–557.

    Google Scholar 

  5. B. M. Koyalovich, “Studies on infinite systems of linear algebraic equations”, Izv. Fiz.-Mat. Inst., No. 3, 41–167 (1930).

    Google Scholar 

  6. A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. V. K. Prokopov, “Homogeneous solutions of the theory of elasticity and their application to the theory of thin plates”, in: Proceedings of the Second All-Union Symposium of Theoretical and Applied Mechanics. Mechanics of Solids [in Russian], Nauka, Moscow (1966), pp. 253–259.

    Google Scholar 

  8. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  9. E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Cambridge Univ. Press, London (1943).

    Google Scholar 

  10. D. B. Bogy, “Solution of plane end problem for a semiinfinite strip,” Z. Angew. Math. Phys.,26, No. 6, 749–769 (1975).

    Google Scholar 

  11. D. B. Bogy and E. Sternberg, “The effect of couple-stresses on the corner singularity due to an asymmetric shear loading”, Int. J. Solids Struct.,4, No. 2, 159–174 (1968).

    Google Scholar 

  12. R. D. Gregory, “The traction boundary value problem for the elastostatic semiinfinite strip, existence of solution and completeness of the Papkovich-Fadle eigenfunctions”, J. Elasticity,10, No. 3, 295–327 (1980).

    Google Scholar 

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Institute of Hydromechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 22, No. 8, pp. 84–93, August, 1986.

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Gomilko, A.M., Grinchenko, V.T. & Meleshko, V.V. Methods of homogeneous solutions and superposition in static boundary-value problems for an elastic half strip. Soviet Applied Mechanics 22, 770–778 (1986). https://doi.org/10.1007/BF00911331

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