Linear viscoelasticity with couple-stresses

Miroslav Hlaváček

Aplikace matematiky (1969)

  • Volume: 14, Issue: 6, page 475-496
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Hlaváček, 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

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  1. Gurtin M. E., Sternberg E., 10.1007/BF00253942, Arch. Rat. Mech. Anal., 11 5, 1962. (1962) Zbl0107.41007MR0147047DOI10.1007/BF00253942
  2. Mindlin R. D., Tiersten H. F., 10.1007/BF00253946, Arch. Rat. Mech. Anal., 11, 5, 1962. (1962) Zbl0114.17505MR0144513DOI10.1007/BF00253946
  3. 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) Zbl0203.27604MR0168199
  4. Koiter W. T., Couple-stresses in the theory of elasticity, Proceedings Koninklijke Nederlandse Akad. van Wet, Ser. B, 67, 1, 1964. (1964) Zbl0124.17405
  5. 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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