Geodesic
Linear viscoelasticity with couple-stresses
Applications of Mathematics, Tome 14 (1969) no. 6, pp. 475-496
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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.
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.
DOI : 10.21136/AM.1969.103255
Keywords: mechanics of solids 
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Hlaváček, Miroslav. Linear viscoelasticity with couple-stresses. Applications of Mathematics, Tome 14 (1969) no. 6, pp. 475-496. doi: 10.21136/AM.1969.103255

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[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. | MR

[4] Koiter W. T.: Couple-stresses in the theory of elasticity. Proceedings Koninklijke Nederlandse Akad. van Wet, Ser. B, 67, 1, 1964. | Zbl

[5] Doyle I. M.: On completness of stress functions in elasticity with couple-stresses. J. of Appl. Mech. (Trans. ASME), Ser. E, 4, 1964.

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