Аsymptotic solution of a class thermoelasticity nonclassical boundary value problems for the package of an orthotropic plate of variable thickness
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 1
Abstract
We solve the non-classical boundary value problem for an orthotropic packet when on one of its front surface the corresponding components of the stress tensor are equal to zero and sets the value of the displacement vector. The task, in particular, is modeling the behavior of the lithospheric plates of the Earth, or a specific region of the earth's crust subject to tectonic movements of the fixed seismic stations, GPS and other measuring instruments. On the basis of three-dimensional equations of thermo-elasticity asymptotic method derived recurrence equations allow for a package of orthotropic layers of varying thickness. We derive recursive formulas for determining the components of the stress tensor and the displacement vector.
Authors and Affiliations
Mher Aghalovyan, Ruben Gevorgyan
Keywords
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