Semiholonomic Second Order Connections Associated with Material Bodies

Semiholonomic Second Order Connections Associated with Material Bodies

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 tw...

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Main Authors: Jaroslav Hrdina, Petr Vašík
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/840936
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spelling doaj-4755c639c4a449c998e4e9e13f3ea3f72020-11-24T22:22:19ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/840936840936Semiholonomic Second Order Connections Associated with Material BodiesJaroslav Hrdina0Petr Vašík1Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, Czech RepublicInstitute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, Czech RepublicThe 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.http://dx.doi.org/10.1155/2013/840936
collection DOAJ
language English
format Article
sources DOAJ
author Jaroslav Hrdina
Petr Vašík
spellingShingle Jaroslav Hrdina
Petr Vašík
Semiholonomic Second Order Connections Associated with Material Bodies
Journal of Applied Mathematics
author_facet Jaroslav Hrdina
Petr Vašík
author_sort Jaroslav Hrdina
title Semiholonomic Second Order Connections Associated with Material Bodies
title_short Semiholonomic Second Order Connections Associated with Material Bodies
title_full Semiholonomic Second Order Connections Associated with Material Bodies
title_fullStr Semiholonomic Second Order Connections Associated with Material Bodies
title_full_unstemmed Semiholonomic Second Order Connections Associated with Material Bodies
title_sort semiholonomic second order connections associated with material bodies
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/840936
work_keys_str_mv AT jaroslavhrdina semiholonomicsecondorderconnectionsassociatedwithmaterialbodies
AT petrvasik semiholonomicsecondorderconnectionsassociatedwithmaterialbodies
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