On dynamic first boundary value problem of elasticity theory for two – layered erthotropic strip
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2008, Vol 61, Issue 3
Abstract
A dynamic plane boundary value problem for two – layered orthotropic strip is considered, when on its facial surfaces the values of the coresponding stresses tensor components, which change harmonically in time, are given. For the determination of the solution an asymptotic method of the solutions of singularly perturbed differential equations is applied. Asymptotic orders of all the stresses tensor components and the displacement vector and iteration processes for determining these components are built. The general solution of the inner problem is found. The conditions of arising resonance are established. For private cases mathematically ecact solutions of the inner problem are obtained.
Authors and Affiliations
T. V. Zakaryan
Keywords
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