Variational principles for linear coupled thermoelasticity
Publication type: Journal Article
Publication date: 2016-12-14
scimago Q2
wos Q3
SJR: 0.641
CiteScore: 1.7
Impact factor: 0.9
ISSN: 0033569X, 15524485
Applied Mathematics
Abstract
Several variational principles are derived for the initial-boundary-value problem of fully coupled linear thermoelasticity for an inhomogeneous, anisotropic continuum. A consistent set of field variables is employed and a method based on the Laplace transform is used to incorporate the initial conditions explicitly into the formulation. These principles lend themselves readily to numerical solutions based on an extended Ritz method.
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Total citations:
82
Citations from 2024:
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(1.22%)
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GOST
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Nickell R. E., Sackman J. L. Variational principles for linear coupled thermoelasticity // Quarterly of Applied Mathematics. 2016. Vol. 26. No. 1. pp. 11-26.
GOST all authors (up to 50)
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Nickell R. E., Sackman J. L. Variational principles for linear coupled thermoelasticity // Quarterly of Applied Mathematics. 2016. Vol. 26. No. 1. pp. 11-26.
Cite this
RIS
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TY - JOUR
DO - 10.1090/qam/231576
UR - https://doi.org/10.1090/qam/231576
TI - Variational principles for linear coupled thermoelasticity
T2 - Quarterly of Applied Mathematics
AU - Nickell, R. E.
AU - Sackman, J. L.
PY - 2016
DA - 2016/12/14
PB - American Mathematical Society
SP - 11-26
IS - 1
VL - 26
SN - 0033-569X
SN - 1552-4485
ER -
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BibTex (up to 50 authors)
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@article{2016_Nickell,
author = {R. E. Nickell and J. L. Sackman},
title = {Variational principles for linear coupled thermoelasticity},
journal = {Quarterly of Applied Mathematics},
year = {2016},
volume = {26},
publisher = {American Mathematical Society},
month = {dec},
url = {https://doi.org/10.1090/qam/231576},
number = {1},
pages = {11--26},
doi = {10.1090/qam/231576}
}
Cite this
MLA
Copy
Nickell, R. E., and J. L. Sackman. “Variational principles for linear coupled thermoelasticity.” Quarterly of Applied Mathematics, vol. 26, no. 1, Dec. 2016, pp. 11-26. https://doi.org/10.1090/qam/231576.