INVESTIGATION OF THE NON-STATIONARY THERMOELASTIC STATE OF SHELLS COMPLIANT TO SHEARS AND COMPRESSION
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 1
Abstract
A linear boundary-value problem for thin shells compliant to shears and compression (a six-modal variant) is formulated. The key equations for determining the non-stationary thermoelastic state of the considered shells are recorded. The peculiarity of the used model is that the kinematic hypothesis of the shells of the Tymoshenko-Mindlin type (a five-modal variant) is taken as a basis, according to which the normal element of the deformed shell after its loading remains straightforward, but may change its length and not be orthogonal to the deformed median surface. Numerically solved the problem of determining the thermal stresses of a plate that is in uneven heating conditions. The case when the plate is heated by heat exchange in accordance with Newton's law with an environment whose temperature is described by a normal-circular law is considered. A comparative analysis of the obtained numerical solutions with the solutions given in the literature is carried out.
Authors and Affiliations
P. P. Vahin, I. Y. Koziy, R. B. Malets’, H. A. Shynkarenko
Keywords
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- EP ID EP558720
- DOI 10.18524/2519-206x.2018.1(31).134615
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