Abstract
The thermomechanics of growing bodies studies the distributions of mechanical and thermal fields in quasistatic and dynamic processes that occur in the bodies whose composition varies in the process of deformation and heating. These types of accretion are realized in various technological processes such as laser surfacing, gas-dynamic deposition, and vapor phase deposition. Mathematical modeling of the deformations and temperature fields arising in these processes allows one to optimize the technological processes and is a topical problem of mechanics of deformable rigid body. The present work is concerned with the initial boundary-valued problem for the thermoelastic growing block. Full coupling of mechanical and thermal fields as well as relaxing of the heat flux are taken into account. A closed form solution for a body under “smoothly rigid” heat-insulated conditions for the stationary faces and the load-free conditions on the growing face is obtained. The temperature field on the growing face is analyzed numerically for various accretion scenarios.
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This work was supported by the Russian Science Foundation under Grant 14-19-01280.
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Levitin, A.L., Lychev, S.A. (2015). Transient Problem for a Accreted Thermoelastic Block. In: Yang, GC., Ao, SI., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9804-4_5
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DOI: https://doi.org/10.1007/978-94-017-9804-4_5
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