On linear equations of anisotropic elastic plates
Author:
Yi-Yuan Yu
Journal:
Quart. Appl. Math. 22 (1965), 357-360
MSC:
Primary 73.41
DOI:
https://doi.org/10.1090/qam/187498
MathSciNet review:
187498
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Additional Information
- Yi-Yuan Yu, Generalized Hamilton’s principle and variational equation of motion in nonlinear elasticity theory, with application to plate theory, J. Acoust. Soc. Amer. 36 (1964), 111–120. MR 164502, DOI https://doi.org/10.1121/1.1918921
- Hai Chang Hu, Necessary and sufficient conditions for correct use of generalized variational principles of elasticity in approximate solutions, Sci. China Ser. A 33 (1990), no. 2, 196–205. MR 1055323
K. Washizu, On the variational principles of elasticity and plasticity, M. I. T. Aeroelastic Structures Res. Lab. Tech. Report 25.18 (1955)
R. D. Mindlin, An introduction to the mathematical theory of vibrations of elastic plates, U. S. Army Signal Corps, Fort Monmouth, N. J., 1955
R. D. Mindlin, High frequency vibrations of crystal plates, Q. Appl. Math. 19 (1961) 51
- Yi-Yuan Yu, On linear equations of isotropic elastic plates and shells, J. Franklin Inst. 280 (1965), 395–416. MR 191182, DOI https://doi.org/10.1016/0016-0032%2865%2990530-2
Yi-Yuan Yu, Generalized Hamilton’s principle and variational equation of motion in nonlinear elasticity theory, with application to plate theory, J. Acoustical Soc. Amer. 36 (1964) 111
Hai-Chang Hu, On some variational principles in the theory of elasticity and the theory of plasticity, Acta Physica Sinica 10 (1954) 259, also Scientia Sinica 4 (1955) 33
K. Washizu, On the variational principles of elasticity and plasticity, M. I. T. Aeroelastic Structures Res. Lab. Tech. Report 25.18 (1955)
R. D. Mindlin, An introduction to the mathematical theory of vibrations of elastic plates, U. S. Army Signal Corps, Fort Monmouth, N. J., 1955
R. D. Mindlin, High frequency vibrations of crystal plates, Q. Appl. Math. 19 (1961) 51
Yi-Yuan Yu, On linear equations of isotropic elastic plates and shells, Scientific Report No. 2, Polytechnic Institute of Brooklyn, Dept. of Mech. Engg., 1964
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Article copyright:
© Copyright 1965
American Mathematical Society
