NONSTATIONARY HEAT CONDUCTION IN A CURVILINEAR PLATE WITH ACCOUNT OF SPATIAL NONLOCALITY

At the present time, an important stage in the creation and use of new structurally sensitive materials is the construction of mathematical models allowing one to describe the behavior of these materials in a wide range of variation of external effects. In this work, a model of heat conduction in structurally sensitive materials is suggested that accounts for the nonlocality of the medium over the space and the curvature of the plate. With the use of the integrointerpolation method, a difference scheme is constructed and a numerical solution of the problem of highly intense surface heating is found. The infl uence of the nonlocality and plate curvature parameters on temperature distribution has been investigated.
   
Author:  G. N. Kuvyrkin, I. Yu. Savel′eva, and D. A. Kuvshinnikova
Keywords:  nonlocality, heat conduction equation, curvilinear plate, difference scheme.
Page:  608