The use of the minimum-dissipation principle in tectonophysics

Peter Bird; David A. Yuen

doi:10.1016/0012-821X(79)90122-5

The use of the minimum-dissipation principle in tectonophysics

Peter Bird
, David A. Yuen

Earth and Environmental Sciences-Twin Cities

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The principle, that the rate of internal viscous dissipation is at a minimum, is incorrect when temperature and velocity fields are linked through temperature-dependent viscosity or density. This makes it inappropriate for the study of spreading ridge - transform fault systems or other plate-tectonic problems with large viscosity stratification resulting from large temperature gradients. Corrections to the principle are noted for cases without heat advection but with boundary tractions or non-linear materials.

Original language	English (US)
Pages (from-to)	214-217
Number of pages	4
Journal	Earth and Planetary Science Letters
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/0012-821X(79)90122-5
State	Published - Oct 1979

Bibliographical note

Funding Information:
We thank F Busse, R Chin, R Geller, and S Stem for sttmulatlng conversations This research was supported by the Earth Sciences Section, National Science Foundation, under grants EAR-77-15198 and EAR-78-22753

Publisher link

10.1016/0012-821X(79)90122-5

Find It

Find It at U of M Libraries

Cite this

@article{938546fbc9284dc4a1f32281249e058e,

title = "The use of the minimum-dissipation principle in tectonophysics",

abstract = "The principle, that the rate of internal viscous dissipation is at a minimum, is incorrect when temperature and velocity fields are linked through temperature-dependent viscosity or density. This makes it inappropriate for the study of spreading ridge - transform fault systems or other plate-tectonic problems with large viscosity stratification resulting from large temperature gradients. Corrections to the principle are noted for cases without heat advection but with boundary tractions or non-linear materials.",

author = "Peter Bird and Yuen, \{David A.\}",

note = "Funding Information: We thank F Busse, R Chin, R Geller, and S Stem for sttmulatlng conversations This research was supported by the Earth Sciences Section, National Science Foundation, under grants EAR-77-15198 and EAR-78-22753",

year = "1979",

month = oct,

doi = "10.1016/0012-821X(79)90122-5",

language = "English (US)",

volume = "45",

pages = "214--217",

journal = "Earth and Planetary Science Letters",

issn = "0012-821X",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - The use of the minimum-dissipation principle in tectonophysics

AU - Bird, Peter

AU - Yuen, David A.

N1 - Funding Information: We thank F Busse, R Chin, R Geller, and S Stem for sttmulatlng conversations This research was supported by the Earth Sciences Section, National Science Foundation, under grants EAR-77-15198 and EAR-78-22753

PY - 1979/10

Y1 - 1979/10

N2 - The principle, that the rate of internal viscous dissipation is at a minimum, is incorrect when temperature and velocity fields are linked through temperature-dependent viscosity or density. This makes it inappropriate for the study of spreading ridge - transform fault systems or other plate-tectonic problems with large viscosity stratification resulting from large temperature gradients. Corrections to the principle are noted for cases without heat advection but with boundary tractions or non-linear materials.

AB - The principle, that the rate of internal viscous dissipation is at a minimum, is incorrect when temperature and velocity fields are linked through temperature-dependent viscosity or density. This makes it inappropriate for the study of spreading ridge - transform fault systems or other plate-tectonic problems with large viscosity stratification resulting from large temperature gradients. Corrections to the principle are noted for cases without heat advection but with boundary tractions or non-linear materials.

UR - https://www.scopus.com/pages/publications/0007629217

UR - https://www.scopus.com/pages/publications/0007629217#tab=citedBy

U2 - 10.1016/0012-821X(79)90122-5

DO - 10.1016/0012-821X(79)90122-5

M3 - Article

AN - SCOPUS:0007629217

SN - 0012-821X

VL - 45

SP - 214

EP - 217

JO - Earth and Planetary Science Letters

JF - Earth and Planetary Science Letters

IS - 1

ER -

The use of the minimum-dissipation principle in tectonophysics

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this