In the present work the problem of thin surface coatings of an elastic layer subject to a residual thermal stress is analytically investigated. The system adopts a curvature as a result of the misfit strain due to the different thermal expansivities of the layer and coatings. The problem is governed by a singular integral equation which can be reduced to a linear algebraic system by approximating the unknown interfacial shear stress via series expansion of Chebyshev polynomials. The present analysis is developed in order to assess the mechanical behaviour of a crystalline undulator designed for obtaining high emission radiations through channelling phenomenon.
On the problem of a coated elastic layer subjected to residual thermal stress / Lanzoni, L.; Radi, Enrico. - ELETTRONICO. - SO 6:(2007), pp. 257-257. (Intervento presentato al convegno XVIII Congresso AIMETA tenutosi a BRESCIA nel 11-14/09/2007).
On the problem of a coated elastic layer subjected to residual thermal stress
L. Lanzoni;RADI, Enrico
2007
Abstract
In the present work the problem of thin surface coatings of an elastic layer subject to a residual thermal stress is analytically investigated. The system adopts a curvature as a result of the misfit strain due to the different thermal expansivities of the layer and coatings. The problem is governed by a singular integral equation which can be reduced to a linear algebraic system by approximating the unknown interfacial shear stress via series expansion of Chebyshev polynomials. The present analysis is developed in order to assess the mechanical behaviour of a crystalline undulator designed for obtaining high emission radiations through channelling phenomenon.
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