Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics
Applicationes Mathematicae (1997)
- Volume: 24, Issue: 3, page 251-265
- ISSN: 1233-7234
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] S. Drobot, On Cosserat continua, Zastos. Mat. 12 (1971), 323-346. Zbl0227.73002
- [2] J. Dyszlewicz, Stress formulation of the second axially-symmetric problem of micropolar theory of elasticity, Bull. Acad. Polon. Sci. Sér. Sci. Tech. 21 (1973), 45-56. Zbl0252.73002
- [3] J. Dyszlewicz, The stress and displacement functions for the second axisymmetric problem of micropolar elastostatics, Arch. Mech. 27 (1975), 393-404. Zbl0375.73003
- [4] J. Dyszlewicz, The problem of stress equations of motion of Ignaczak type. The axisymmetric and plane problems of micropolar elastodynamics, manuscript, IPPT PAN, Warszawa, 1987 (in Polish).
- [5] J. Dyszlewicz, Boundary and Initial-Boundary Value Problems for Micropolar Elastostatic and Elastodynamic Equations, WPW, Wrocław, 1990 (in Polish).
- [6] A. C. Eringen, Linear theory of micropolar elasticity, J. Math. Mech. 15 (1966), 909-930. Zbl0145.21302
- [7] M. E. Gurtin, The Linear Theory of Elasticity, in: Encyclopedia of Physics, vol. 6a/2, Springer, Berlin, 1972.
- [8] I. S. Gradshteĭn and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products, Nauka, Moscow, 1971 (in Russian).
- [9] D. Iesan, On the plane coupled micropolar thermoelasticity, Bull. Acad. Polon. Sci. Sér. Sci. Tech. 16 (1968), 379-384. Zbl0177.54701
- [10] D. Iesan, On the linear theory of micropolar elasticity, Internat. J. Engrg. Sci. 7 (1969), 1213-1220. Zbl0181.53806
- [11] J. Ignaczak, A completeness problem for stress equations of motion in the linear elasticity, Arch. Mech. 15 (1963), 225-234. Zbl0117.18306
- [12] J. Ignaczak, Tensorial equations of motion for elastic materials with microstructure, in: Trends in Elasticity and Thermoelasticity, Witold Nowacki Ann. Volume, Wolters-Noordhoff, Groningen, 1971, 90-111.
- [13] W. Kasprzak and B. Lysik, Dimensional Analysis, WNT, Warszawa, 1988 (in Polish).
- [14] V. D. Kupradze, T. G. Gegelya, M. O. Baskhelishvili and T. V. Burkhuladze, Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, Nauka, Moscow, 1976 (in Russian).
- [15] J. Mikusiński, Operational Calculus, Pergamon, New York, 1959.
- [16] W. Nowacki, Theory of Elasticity, PWN, Warszawa, 1970 (in Polish). Zbl0211.28701
- [17] W. Nowacki, Theory of Asymmetric Elasticity, PWN, Warszawa, 1981 (in Polish). Zbl0601.73021
- [18] Z. Olesiak, Stress differential equations of the micropolar elasticity, Bull. Acad. Pol. Sci. Sér. Sci. Tech. 18 (1970), 177-184. Zbl0219.73001
- [19] I. N. Sneddon, The Use of Integral Transforms, McGraw-Hill, New York, 1972. Zbl0237.44001