Abstract
In this paper, the completeness of Hu Hai-chang's solution is proved in the case of convex regions in z-direction under a supplementary condition. On the other hand, for those non-convex regions in z-direction, Hu Hai-chang's solution is proved to be incomplete.
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References
Mindlin, R., Note on the Galerkin and Papkovitch stress functions.Bull. Amer. Math. Soc. 42 (1936) 373–376.
Hu Hai-chang, On the three-dimensional problems of the theory of elasticity of a transversely isotropic body,Journal of Academia Sinica (Beijing), 2 (1953).
Muki, Asymmetric problems of the theory of elasticity for a semi-infinite solid and a thick plane,Progress in Solid Mechanics, I (ed. by Sneddon and Hill) (1960).
Eubanks, R. A., and Sternberg, E., On the completeness of the Papkovitch stress function.J. Rational Mech. Anal., 5 (1956), 735–746.
Kellogg, O. D., Foundations of Potential Theory, Berling, Springer, (1929), 260.
Slobodyansky, M. G., On the general and complete form of solutions of the equations of elasticity (in Russian).Prac. Math. Mech. 23 (1959), 468–482.
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Communicated by Chien Wei-zang.
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Min-zhong, W. On the completeness of Hu Hai chang's solution. Appl Math Mech 2, 265–272 (1981). https://doi.org/10.1007/BF01876784
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DOI: https://doi.org/10.1007/BF01876784