Refined theory of bending of thin plates by concentrated forces

1979 ◽  
Vol 15 (4) ◽  
pp. 341-343
Author(s):  
S. G. Mazur
2003 ◽  
Vol 70 (2) ◽  
pp. 260-267 ◽  
Author(s):  
Z.-Q. Cheng ◽  
J. N. Reddy

This paper presents fundamental solutions of an anisotropic elastic thin plate within the context of the Kirchhoff theory. The plate material is inhomogeneous in the thickness direction. Two systems of problems with non-self-equilibrated loads are solved. The first is concerned with in-plane concentrated forces and moments and in-plane discontinuous displacements and slopes, and the second with transverse concentrated forces. Exact closed-form Green’s functions for infinite and semi-infinite plates are obtained using the recently established octet formalism by the authors for coupled stretching and bending deformations of a plate. The Green functions for an infinite plate and the surface Green functions for a semi-infinite plate are presented in a real form. The hoop stress resultants are also presented in a real form for a semi-infinite plate.


1974 ◽  
Vol 8 (4) ◽  
pp. 582-588
Author(s):  
V. V. Vasil'ev ◽  
S. A. Lur'e

1992 ◽  
Vol 4 (1) ◽  
pp. 127-138
Author(s):  
Masahiko Hirao ◽  
Hidekazu Fukuoka ◽  
Yoshinori Murakami
Keyword(s):  

1988 ◽  
Vol 57 (3) ◽  
pp. 164-170
Author(s):  
Akihiko Ihochi ◽  
Tokuji Maruyama

Author(s):  
J. Leng ◽  
V. Romero-García ◽  
F. Gautier ◽  
A. Pelat ◽  
R. Picó ◽  
...  
Keyword(s):  

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