Solution of the main boundary value problems of elasticity theory for an anisotropic cylinder with the participation of mass forces
UDC
539.3EDN
BRYIVNDOI:
10.31429/vestnik-22-4-14-23Abstract
The paper proposes a mathematical model for determining the stress-strain state of transversely isotropic bodies of revolution under the conditions of a boundary value problem of elasticity theory with the simultaneous action of mass forces. The total state is not the sum of two states from the action of each factor, but the result of the combined mechanical action on the exterior and region of the body. The boundary state method is used to determine the elastic field. Methods for forming bases of internal and boundary states associated with isomorphism are developed, and defining relations are formulated. The first and second main problems of elasticity theory for a circular cylinder made of rock are solved. An analysis of the convergence of solutions is carried out. The results are presented in analytical and graphical form.
Keywords:
mass forces, boundary state method, boundary value problems, axisymmetric problemsReferences
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Dates
Submitted
September 5, 2025
Accepted
November 14, 2025
Published
December 2, 2025
How to Cite
[1]
Ivanychev, D.A., Balykin, D.I., Yezdakova, D.V., Bordyugova, Y.A., Solution of the main boundary value problems of elasticity theory for an anisotropic cylinder with the participation of mass forces. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2025, т. 22, № 4, pp. 14–23. DOI: 10.31429/vestnik-22-4-14-23
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