Abstract
In an infinite space a Cosserat medium (with forced rotations) is subjected to a singular concentrated force. The medium is nonhomogeneous and consist of two regular regions where the elastic constants differ. Formulas are derived for the displacements in both the internal and the external region. With the help of this Green's function matrix integral representations are derived for the displacements.
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References
Mindlin, R. D. and Tiersten, H. F., Effects of couple stresses in linear elasticity, Arch. Rat. Mech. Anal. 11 (1962) 415.
Koiter, W. T., Couple stresses in the theory of elasticity, Proc. Kon. Ned. Akad. Wetensch. Ser. B 67 (1964).
Kupradze, V. D., Dynamical problems in elasticity, Progress in Solid Mechanics, Vol. III, North Holland publishing cy (1963).
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Chowdhury, K.L., Dhaliwal, R.S. Integral representations for a nonhomogeneous region in couple stress theory of elasticity. Appl. Sci. Res. 27, 133–144 (1973). https://doi.org/10.1007/BF00382483
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DOI: https://doi.org/10.1007/BF00382483