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Semiholonomic Second Order Connections Associated with Material Bodies

Jaroslav Hrdina and Petr Vašík

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: The thermomechanical behavior of a material is expressed mathematically by means of one or more constitutive equations representing the response of the body to the history of its deformation and temperature. These settings induce a set of connections which can express local properties. We replace two of them by a second order connection and prove that the holonomity of this connection classifies our materials.

Date: 2013
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https://doi.org/10.1155/2013/840936

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