A note concerning some aspects for application of a thermodynamic extremal principle (TEP) for continua
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In: Acta mechanica, Vol. 235.2024, No. 5, 09.03.2024, p. 3309-3312.
Research output: Contribution to journal › Comment/debate › peer-review
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TY - JOUR
T1 - A note concerning some aspects for application of a thermodynamic extremal principle (TEP) for continua
AU - Fischer, Franz-Dieter
AU - Zickler, Gerald
AU - Hackl, Klaus
AU - Svoboda, Jiri
N1 - Publisher Copyright: © The Author(s) 2024.
PY - 2024/3/9
Y1 - 2024/3/9
N2 - A matter of fact is that extremal principles have been introduced in mechanics in more (Euler, Lagrange) or less (Hamilton) than 200 years ago. One may also observe an impact of thermodynamic extremal principles based on maximum dissipation due to all the entropy production expressed in several disciplines. According fields are theory of communication, statistical mechanics and later physics of earth since already 70 years. The current paper offers some (historical) overview on several applications. “Ziegler’s principle” is an implementation of the maximum entropy production going out to the dissipation and yielding a maximum dissipation. The goal of this paper is now the implementation of this extremal principle performed along an algebraic concept. Such a concept can be extended to a system with several internal variables as outlined by Coleman and Gurtin in context with the Gibbs (free) energy.v
AB - A matter of fact is that extremal principles have been introduced in mechanics in more (Euler, Lagrange) or less (Hamilton) than 200 years ago. One may also observe an impact of thermodynamic extremal principles based on maximum dissipation due to all the entropy production expressed in several disciplines. According fields are theory of communication, statistical mechanics and later physics of earth since already 70 years. The current paper offers some (historical) overview on several applications. “Ziegler’s principle” is an implementation of the maximum entropy production going out to the dissipation and yielding a maximum dissipation. The goal of this paper is now the implementation of this extremal principle performed along an algebraic concept. Such a concept can be extended to a system with several internal variables as outlined by Coleman and Gurtin in context with the Gibbs (free) energy.v
UR - http://www.scopus.com/inward/record.url?scp=85187141275&partnerID=8YFLogxK
U2 - 10.1007/s00707-024-03892-4
DO - 10.1007/s00707-024-03892-4
M3 - Comment/debate
AN - SCOPUS:85187141275
VL - 235.2024
SP - 3309
EP - 3312
JO - Acta mechanica
JF - Acta mechanica
SN - 0001-5970
IS - 5
ER -
