Derivation of non-classical variational principles in the theory of elasticity
Aplikace matematiky (1967)
- Volume: 12, Issue: 1, page 15-29
- ISSN: 0862-7940
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topHlaváček, Ivan. "Derivation of non-classical variational principles in the theory of elasticity." Aplikace matematiky 12.1 (1967): 15-29. <http://eudml.org/doc/14447>.
@article{Hlaváček1967,
abstract = {Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively. Besides, a short survey of further variational theorems, which follow from the fundamental principles, and the proof of the convergence for a method based on one of them, are presented.},
author = {Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {1},
pages = {15-29},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Derivation of non-classical variational principles in the theory of elasticity},
url = {http://eudml.org/doc/14447},
volume = {12},
year = {1967},
}
TY - JOUR
AU - Hlaváček, Ivan
TI - Derivation of non-classical variational principles in the theory of elasticity
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 1
SP - 15
EP - 29
AB - Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively. Besides, a short survey of further variational theorems, which follow from the fundamental principles, and the proof of the convergence for a method based on one of them, are presented.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14447
ER -
References
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- I. Hlaváček, Sur quelques theorémes variationelles dans la théorie du fluage linéaire, Aplikace matematiky 11 (1966), 4, 283-295. (1966)
- W. Prager J. L. Synge, 10.1090/qam/25902, Quart. Appl. Math. 5, 3 (1947), 241-269. (1947) MR0025902DOI10.1090/qam/25902
- Hu Hai-Chang, On some variational principles in the theory of elasticity and the theory of plasticity, Scientia Sinica 4 (1955), 1, 33-55. (1955) Zbl0066.17903
- K. Washizu, On the variational principles of elasticity and plasticity, ASRL TR 25-18. Massachusetts Inst. of Techn. 1955. (1955)
- E. Reissner, On some variational theorems in elasticity, Problems of Continuum Mechanics, 370-381. Contributions in honor of 70th birthday of N. I. Muschelišvili, 1961. (1961) MR0122087
- И. H. Слезингер, Принцип Кастильяно в нелинейной теории упругости, Прикладна механіка5(1959), 1,38-44. (1959) Zbl1047.90504MR0102945
- Л. Айнола, О вариационной задаче Кастильяно динамики нелинейной теории упругости, Изв. АН Эстон. CCP 10 (1961), 1, сер. физ.-мат., 22-27. (1961) Zbl1160.68305
- С. Г. Михлин, Проблема минимума квадратного функционала, Гостехиздат 1952. (1952) Zbl1145.11324
Citations in EuDML Documents
top- Ivan Hlaváček, Some variational principles for nonlinear elastodynamics
- Ivan Hlaváček, Variational principles for parabolic equations
- Ivan Hlaváček, Miroslav Hlaváček, On the existence and uniqueness of solution and some variational principles in linear theories of elasticity with couple-stresses. I: Cosserat continuum
- Ivan Hlaváček, Variational principles in the linear theory of elasticity for general boundary conditions
- Ivan Hlaváček, On Reissner's variational theorem for boundary values in linear elasticity
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