On internal constraints in continuum mechanics
In classical particle mechanics, it is well understood that while working with nonholonomic and nonideal constraints, one cannot expect that the constraint be workless. It is curious that in continuum mechanics, however, the implications of the result in classical mechanics have not been clearly und...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/18572 |
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| _version_ | 1832551804495200256 |
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| author | K. R. Rajagopal Giuseppe Saccomandi |
| author_facet | K. R. Rajagopal Giuseppe Saccomandi |
| author_sort | K. R. Rajagopal |
| collection | DOAJ |
| description | In classical particle mechanics, it is well understood that while
working with nonholonomic and nonideal constraints, one cannot
expect that the constraint be workless. It is curious that in
continuum mechanics, however, the implications of the result in
classical mechanics have not been clearly understood. In this paper,
we show that in dealing with the response of dissipative systems,
one cannot require that constraints do no work or ignore the fact
that the material response functions depend on the constraint
reaction. An example of this is the viscosity of a fluid depending
on the pressure. |
| format | Article |
| id | doaj-art-5b10a48157c8467d84fada041c0d8613 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-5b10a48157c8467d84fada041c0d86132025-02-03T06:00:28ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022006-01-01200610.1155/DENM/2006/1857218572On internal constraints in continuum mechanicsK. R. Rajagopal0Giuseppe Saccomandi1Department of Mechanical Engineering, Texas A & M University, College Station, TX 77845, USADipartimento di Ingegneria dell'Innovazione, Università degli Studi di Lecce, Lecce 73100, ItalyIn classical particle mechanics, it is well understood that while working with nonholonomic and nonideal constraints, one cannot expect that the constraint be workless. It is curious that in continuum mechanics, however, the implications of the result in classical mechanics have not been clearly understood. In this paper, we show that in dealing with the response of dissipative systems, one cannot require that constraints do no work or ignore the fact that the material response functions depend on the constraint reaction. An example of this is the viscosity of a fluid depending on the pressure.http://dx.doi.org/10.1155/DENM/2006/18572 |
| spellingShingle | K. R. Rajagopal Giuseppe Saccomandi On internal constraints in continuum mechanics Differential Equations and Nonlinear Mechanics |
| title | On internal constraints in continuum mechanics |
| title_full | On internal constraints in continuum mechanics |
| title_fullStr | On internal constraints in continuum mechanics |
| title_full_unstemmed | On internal constraints in continuum mechanics |
| title_short | On internal constraints in continuum mechanics |
| title_sort | on internal constraints in continuum mechanics |
| url | http://dx.doi.org/10.1155/DENM/2006/18572 |
| work_keys_str_mv | AT krrajagopal oninternalconstraintsincontinuummechanics AT giuseppesaccomandi oninternalconstraintsincontinuummechanics |