| Title:
|
Some variational principles for nonlinear elastodynamics (English) |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
12 |
| Issue:
|
2 |
| Year:
|
1967 |
| Pages:
|
107-118 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Three variational principles of linear elastodynamics for two initial conditions, recentrly established by M. R. Gurtin, are extended to nonlinear problems with large elastic deformations. (English) |
| Keyword:
|
mechanics of solids |
| MSC:
|
73-49 |
| idZBL:
|
Zbl 0163.19602 |
| idMR:
|
MR0214323 |
| DOI:
|
10.21136/AM.1967.103076 |
| . |
| Date available:
|
2008-05-20T17:38:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103076 |
| . |
| Reference:
|
[1] M. E. Gurtin: Variational Principles for Linear Elastodynamics.Archive for Rat. Mech. Anal. 16, 1, 34-50 (1964). Zbl 0124.40001, MR 0214322, 10.1007/BF00248489 |
| Reference:
|
[2] W. Prager: Einführung in die Kontinuumsmechanik.Birkhäuser Verlag 1961. Zbl 0094.18601, MR 0126973 |
| Reference:
|
[3] Л. Aйнола: О вариционной задаче Кастильяно динамики нелинейной теории упругости.Изв. АН Эстон. CCP, т. X, сер. физ.-мат н. 1, 22-27 (1961). Zbl 0995.90569 |
| Reference:
|
[4] Yi Yuan Yu: Generalized Hamilton's Principle and Variational Equation of Motion in Nonlinear Elasticity Theory with Applications to Plate Theory.J. Acoust. Soc. America, 36, 1, 111-120 (1964). MR 0164502, 10.1121/1.1918921 |
| Reference:
|
[5] O. D. Kellog: Foundations of Potential Theory.Springer, Berlin 1929. MR 0222317 |
| Reference:
|
[6] Л. M. Качанов: Теория ползучести.Москва 1960. Zbl 1004.90500 |
| Reference:
|
[7] Нu Hai Chang: On some variational principles in the theory of elasticity and plasticity.Scientia Sinica 4, 1, 33 (1955). |
| Reference:
|
[8] K. Washizu: On the variational principles of elasticity and plasticity.ASRL TR 25 - 18. Massachusetts Institute of Technology (1955). |
| Reference:
|
[9] E. Reissner: О некоторых вариационных теоремах теории упругости.Проблемы механики сплошной среды (к 70-летию ак. H. И. Мусхелишвили), Москва 1961, 328 - 337. Zbl 0134.44402 |
| Reference:
|
[10] E. Hellinger: Die allgemeinen Ansätze der Mechanik der Kontinua.Enzyklopädie der Mathematischen Wissenschaften, 4, parts 4 & 5 (1914). |
| Reference:
|
[11] I. Hlaváček: Derivation of non-classical variational principles in the theory of elasticity.Aplikace matematiky 12 (1967), 1, 15 - 29. MR 0214324 |
| . |
