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@inproceedings{779156, author = {Czudková, Lenka and Musilová, Jana}, address = {USA}, booktitle = {Differential geometry and its applications}, edition = {1.}, keywords = {non-holonomic constrained systems; field theory}, language = {eng}, location = {USA}, isbn = {978-981-279-060-6}, pages = {603-613}, publisher = {World Scientific}, title = {Non-holonomic constraint forces in field theory in physics}, year = {2008} }
TY - JOUR ID - 779156 AU - Czudková, Lenka - Musilová, Jana PY - 2008 TI - Non-holonomic constraint forces in field theory in physics PB - World Scientific CY - USA SN - 9789812790606 KW - non-holonomic constrained systems KW - field theory N2 - We study non-holonomic constraint forces using the geometrical theory of non-holonomic constrained systems on fibered manifolds with n-dimensional base, n > 1, and their prolongations proposed by Krupková. Properties of so-called Chetaev type constraint forces, that arise as a result of this geometrical theory, are illustrated on concrete physical example from continuum mechanics (more precisely, from elasticity theory). By means of this example the geometrical as well as physical aspects of the theory are analysed. We sketch also the quite general approach to a problem of non-holonomic constraint forces. ER -
CZUDKOVÁ, Lenka a Jana MUSILOVÁ. Non-holonomic constraint forces in field theory in physics. In \textit{Differential geometry and its applications}. 1. vyd. USA: World Scientific, 2008, s.~603-613. ISBN~978-981-279-060-6.
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