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Key Continuity Equations in Stresses for Axisymmetric Problems of Elasticity and Thermoelasticity

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Abstract

Two key integro-differential continuity equations are derived in stresses for axisymmetric quasi-static problems of elasticity and thermoelasticity in unbounded domains. The possibility of equivalent reduction of the integro-differential equations to the corresponding differential equations is demonstrated. Boundary and integral conditions for solving those equations are formulated.

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Authors and Affiliations

  1. Pidstrygach Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv

    V. M. Vihak & M. Yo. Yuzvyak

Authors
  1. V. M. Vihak
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  2. M. Yo. Yuzvyak
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Vihak, V.M., Yuzvyak, M.Y. Key Continuity Equations in Stresses for Axisymmetric Problems of Elasticity and Thermoelasticity. Journal of Mathematical Sciences 107, 3659–3665 (2001). https://doi.org/10.1023/A:1011971013473

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