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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/bf00114224

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1573-8795

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On the choice of boundary conditions in problems o

Authors: Т S Nahirnyj K А Chervinka Z V Boiko
Publish Date: 2012/08/29
Volume: 186, Issue: 1, Pages: 130-138
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Abstract

Within the framework of the local gradient approach in thermomechanics we formulate key systems of equations of a mathematical model that describes the behavior of elastic bodies with regard for effects of a local heterogeneity In this case we choose the displacement vector and vector of local mass displacement or the stress tensor and the vector of local mass displacement as key functions Based on this we obtain and analyze solutions of the problems of the equilibrium state of a stretched layer The problem of choice of boundary conditions in the problems of the local gradient approach is discussed It is shown that the size effects including the ultimate strength depend substantially on the boundary conditions and that the assignment of the density or the divergence of the vector of local mass displacement is physically justified

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