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On the use of control volumes in continuum mechanics

Lidström, Per LU (2014) In Mathematics and Mechanics of Solids 19(5). p.524-554
Abstract
In this paper the use of control volumes in continuum mechanics is discussed. The global balance equations for momentum and moment of momentum for general control volumes are presented and their equivalence to the balance equations for material bodies is demonstrated. We also consider an approach based on the formulation of a principle of virtual power for control volumes. Based on this principle Lagrange's equations for a control volume are derived. A specialization to so-called rigid control volumes is presented together with a didactic example concerning rocket propulsion. Finally, the balance of energy for a control volume is briefly discussed.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Control volumes, continuum mechanics, equations of balance, Lagrange's, equations, principle of virtual power, variable mass systems
in
Mathematics and Mechanics of Solids
volume
19
issue
5
pages
524 - 554
publisher
SAGE Publications
external identifiers
  • wos:000340114100005
  • scopus:84910059468
ISSN
1741-3028
DOI
10.1177/1081286512472187
language
English
LU publication?
yes
id
87b2d850-717c-40a9-8a2c-535e5a1fa2c6 (old id 4662566)
date added to LUP
2016-04-01 11:09:21
date last changed
2022-01-26 05:50:26
@article{87b2d850-717c-40a9-8a2c-535e5a1fa2c6,
  abstract     = {{In this paper the use of control volumes in continuum mechanics is discussed. The global balance equations for momentum and moment of momentum for general control volumes are presented and their equivalence to the balance equations for material bodies is demonstrated. We also consider an approach based on the formulation of a principle of virtual power for control volumes. Based on this principle Lagrange's equations for a control volume are derived. A specialization to so-called rigid control volumes is presented together with a didactic example concerning rocket propulsion. Finally, the balance of energy for a control volume is briefly discussed.}},
  author       = {{Lidström, Per}},
  issn         = {{1741-3028}},
  keywords     = {{Control volumes; continuum mechanics; equations of balance; Lagrange's; equations; principle of virtual power; variable mass systems}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{524--554}},
  publisher    = {{SAGE Publications}},
  series       = {{Mathematics and Mechanics of Solids}},
  title        = {{On the use of control volumes in continuum mechanics}},
  url          = {{http://dx.doi.org/10.1177/1081286512472187}},
  doi          = {{10.1177/1081286512472187}},
  volume       = {{19}},
  year         = {{2014}},
}