Linear viscoelasticity with couple-stresses
Aplikace matematiky (1969)
- Volume: 14, Issue: 6, page 475-496
- ISSN: 0862-7940
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topHlaváček, Miroslav. "Linear viscoelasticity with couple-stresses." Aplikace matematiky 14.6 (1969): 475-496. <http://eudml.org/doc/14620>.
@article{Hlaváček1969,
abstract = {In the paper the llinear isothermal quasi-static theory of homogeneous and isotropic viscoelastic bodies with couple-stresses is established. The general representations of the linear hereditary laws both in an integral and differential form are given. Uniqueness of the mixed boundary-value problems is proved. The generalization of Betti's reciprocal theorem and that of Galerkin and Papkovich stress functions are obtained.},
author = {Hlaváček, Miroslav},
journal = {Aplikace matematiky},
keywords = {mechanics of solids},
language = {eng},
number = {6},
pages = {475-496},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Linear viscoelasticity with couple-stresses},
url = {http://eudml.org/doc/14620},
volume = {14},
year = {1969},
}
TY - JOUR
AU - Hlaváček, Miroslav
TI - Linear viscoelasticity with couple-stresses
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 6
SP - 475
EP - 496
AB - In the paper the llinear isothermal quasi-static theory of homogeneous and isotropic viscoelastic bodies with couple-stresses is established. The general representations of the linear hereditary laws both in an integral and differential form are given. Uniqueness of the mixed boundary-value problems is proved. The generalization of Betti's reciprocal theorem and that of Galerkin and Papkovich stress functions are obtained.
LA - eng
KW - mechanics of solids
UR - http://eudml.org/doc/14620
ER -
References
top- Gurtin M. E., Sternberg E., 10.1007/BF00253942, Arch. Rat. Mech. Anal., 11 5, 1962. (1962) Zbl0107.41007MR0147047DOI10.1007/BF00253942
- Mindlin R. D., Tiersten H. F., 10.1007/BF00253946, Arch. Rat. Mech. Anal., 11, 5, 1962. (1962) MR0144513DOI10.1007/BF00253946
- Misicu M., Theory of viscoelasticity with couple-stresses and some reductions to two-dimensional problem, Revue de Mécanique Appl. Acad. Rep. P. Roumaine, 8, 6, 1963. (1963) MR0168199
- Koiter W. T., Couple-stresses in the theory of elasticity, Proceedings Koninklijke Nederlandse Akad. van Wet, Ser. B, 67, 1, 1964. (1964) Zbl0124.17405
- Doyle I. M., On completness of stress functions in elasticity with couple-stresses, J. of Appl. Mech. (Trans. ASME), Ser. E, 4, 1964. (1964)
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