151
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Reduction of plane thermoelasticity problem in inhomogeneous strip to integral volterra type equation

&
Pages 91-100 | Received 30 Sep 2004, Published online: 14 Oct 2010

References

  • Boley , B. and Weiner , J. 1960 . Theory of Thermal Stresses , New York : Wiley .
  • Brychkov , Yu. and Prudnikov , A. 1977 . Integral Transforms of Generalized Functions Nauka, Moscow (in Russian)
  • Gorbachev , V. 1993 . On an approach to the solution of problems in the theory of elasticity for a long anisotropic strip that is inhomogeneous with respect to width . Elasticity and Inelasticity , : 39 – 54 . (in Russian)
  • Gorbachev , V. and Pobedrya , B. 1979 . On elastic equilibrium of inhomogeneous strips . Mekhanika tverdogo tela , 5 : 111 – 118 . (in Russian)
  • Kolchin , G. and Faverman , E. 1972 . Theory of Elasticity of Inhomogeneous Solids Shtiintsa, Kishinev (in Russian)
  • Lamzyuk , V. and Maximova , M. 1998 . Plane strain of a strip inhomogeneous with respect to depth . Visnyk Dnipropetrovs'koho universytetu , 2 (1) : 70 – 75 . (in Russian)
  • Lekhnitskiy , S. 1971 . Torsion of Anisotropic Inhomogeneous Stems Nauka, Moscow (in Russian)
  • Hetnarski , R.B. , Noda , N. and Tanigava , Yo. 2000 . Thermal Stresses , New York : Lastran Corp. Rochester .
  • Noda , N. 1999 . Thermal stresses in functionally graded materials . J. Thermal Stresses , 22 (1) : 477 – 512 .
  • Plevako , V. 1997 . General Solutions in the Problems of the Theory of Elasticity of Inhomogeneous Media Osnova, Kharkiv (in Russian)
  • Plevako , V. 2002 . Influence of the change of material parameters on the stressed state of an inhomogeneous cylinder . Proc. Intern. Scientific‐Technical Conference PMM‐2002, Khmelnyts'kyy, Ukraine, 2002 Problems of mathematical modeling of the modern technologies, TUP, Khmelnyts'kyy . 2002 . pp. 111 (in Ukrainian)
  • Verlan , A. and Sizikov , V. 1988 . Integral Equations: Methods, Algorithms, and Programs , Kiev : Naukova Dumka . (in Russian)
  • Vigak , V. 1988 . Control of Thermal Stresses and Displacements , Kiev : Naukova Dumka . (in Russian)
  • Vihak , V. 1998 . Direct method of integration of the equations for plane elasticity and thermoelasticity problems . Dopovidi NAN Ukrayiny , 12 : 62 – 67 . (in Ukrainian)
  • Vihak , V. and Kalynyak , B. 1998 . Reduction of one‐dimensional elasticity and thermoelasticity problems for inhomogeneous and thermo‐sensitive solids to the integral equations of the second kind . Dopovidi NAN Ukrayiny , 11 : 60 – 67 . (in Ukrainian)
  • Vihak , V. and Kalynyak , B. 1999 . Reduction of one‐dimensional elasticity and thermoelasticity problems in inhomogeneous and thermal sensitive solids to the solution of integral equation of Volterra type . Proc. 3rd Intern. Congress Thermal Stresses‐99’, Cracow, Poland, 1999 Cracow . 1999 . pp. 457 – 460 .
  • Lomakin , V. , Podstrigach , Ya. and Kolyano , Yu. 1984 . Thermoelasticity of the Solids of Inhomogeneous Structure Nauka, Moscow (in Russian)
  • Bondaruk , A. , Pushak , Ya. and Rychahivskyy , A. 2000 . Reduction of the solutions of elasticity and thermoelasticity problems for inhomogeneous solids to the integral volterra type equations . Proc. Intern. Scientific Conference MPMNS‐2000, Lviv, Ukraine, 2000 Mathematical problems of the mechanics of inhomogeneous structures . 2000 , Lviv. pp. 315 – 318 . (in Ukrainian)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.