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2013 Semiholonomic Second Order Connections Associated with Material Bodies
Jaroslav Hrdina, Petr Vašík
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/840936


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.


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Jaroslav Hrdina. Petr Vašík. "Semiholonomic Second Order Connections Associated with Material Bodies." J. Appl. Math. 2013 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1338.53049
MathSciNet: MR3032196
Digital Object Identifier: 10.1155/2013/840936

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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