A survey of studies by the author and his disciples on the solution of some classes of problems for deformable thin bodies (strip-beams, plates, and shells) is presented. Classical and nonclassical boundary-value problems of the statics and dynamics of anisotropic and layered bodies are considered. Free and forced vibrations of one-layer and multilayer thin bodies are investigated. The coupled problems of thermoelasticity are solved.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 47, No. 1, pp. 85–102, January-February, 2011.
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Aghalovyan, L.A. On the classes of problems for deformable one-layer and multilayer thin bodies solvable by the asymptotic method. Mech Compos Mater 47, 59–72 (2011). https://doi.org/10.1007/s11029-011-9187-9
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DOI: https://doi.org/10.1007/s11029-011-9187-9