Bimetallic plate in a homogeneous temperature field | Mekhanika | kompozitsionnykh | materialov i konstruktsii

Bimetallic plate in a homogeneous temperature field

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We consider the equilibrium thermoelastic condition of the bodies tied by a thin flat layer. It is reckoned that the interaction layer resistance to flexural deformations is insignificant (a soft layer). The averaged on layer thickness characteristics expressed through boundary movements under Duhamel-Neumann’s law are used for the description of the intense deformed condition of a layer. As a result, the task about temperature deformations in bodies’ composition with various thermomechanical characteristics comes down to system of the variation equations concerning movement fields in two bodies divided by an interaction layer. Partial definition of problem about temperature impacts on a bimetallic plate is given. At the same time, movements on thickness of plates are expressed through movements of layer borders of interaction and rotation angles of normals to them. The task comes down to system of six-second order differential equations. Temperature deformations of the bimetallic plate jammed at one edge and free on another are considered. The change law of the interface line of plates along their length depending on temperature is received in case of the zero thickness of a layer of interaction. At a homogeneous state (a pure bend), the line curvature of interface becomes a constant. In case of zero Poisson coefficient, we come to the known dependence of curvature on temperature. The analytical decision is received at a final thickness of an interaction layer and homogeneous in plate’s thickness distribution of deformations. At asymmetrical structure of a composite thermal effect leads to unilateral uneven movements of plates. In case of symmetric structure, the accounting of boundary conditions leads to uneven symmetric distribution of movements. Unevenness have the nature of the edge effects connected with shift deformations accounting.