An asymptotic theory for dynamic response of doubly curved laminated shells

1996 ◽  
Vol 33 (26) ◽  
pp. 3813-3841 ◽  
Author(s):  
Chih-Ping Wu ◽  
Jiann-Quo Tarn ◽  
Shu-Man Chi
Keyword(s):  
Dynamic Response ◽  
Asymptotic Theory ◽  
Laminated Shells ◽  
Doubly Curved

Refined Asymptotic Theory of Doubly Curved Laminated Shells

1997 ◽  
Vol 123 (12) ◽  
pp. 1238-1246 ◽  
Author(s):  
Chih-Ping Wu ◽  
Jiann-Quo Tarn ◽  
Pei-Ying Chen
Keyword(s):  
Asymptotic Theory ◽  
Laminated Shells ◽  
Doubly Curved

Nondimensional Parameters and Equations for Buckling of Anisotropic Shallow Shells

1994 ◽  
Vol 61 (3) ◽  
pp. 664-669 ◽  
Author(s):  
M. P. Nemeth
Keyword(s):  
Laminated Shells ◽  
Shallow Shells ◽  
Fundamental Parameters ◽  
Combined Loads ◽  
Vlasov Equations ◽  
Shell Buckling ◽  
Bifurcation Buckling ◽  
Z Parameter ◽  
Shear Buckling ◽  
Doubly Curved

A procedure for deriving nondimensional parameters and equations for bifurcation buckling of anisotropic shallow shells subjected to combined loads is presented. First, the Donnell-Mushtari-Vlasov equations governing buckling of symmetrically laminated doubly curved thin elastic shallow shells are presented. Then, the rationale used to perform the nondimensionalization of the buckling equations is presented, and fundamental parameters are identified that represent measures of the shell orthotropy and anisotropy. In addition, nondimensional curvature parameters are identified that are analogues of the well-known Batdorf Z parameter for isotropic shells, and analogues of Dunnell’s and Batdorf s shell buckling equations are presented. Selected results are presented for shear buckling of balanced symmetric laminated shells that illustrate the usefulness of the nondimensional parameters.

THERMOELASTIC ANALYSIS OF DOUBLY CURVED LAMINATED SHELLS

1996 ◽  
Vol 19 (6) ◽  
pp. 531-563 ◽  
Author(s):  
Chin-Ping Wu ◽  
Jiann-Quo Tarn ◽  
Kai-Lin Yang
Keyword(s):  
Laminated Shells ◽  
Thermoelastic Analysis ◽  
Doubly Curved

scholarly journals Asymptotic theory for thin two-ply shells

2020 ◽  
Vol 42 (3) ◽  
pp. 269-282
Author(s):  
David J. Steigmann
Keyword(s):  
Shell Theory ◽  
Asymptotic Theory ◽  
A Priori ◽  
Small Strain ◽  
Asymptotic Model ◽  
Strain Response ◽  
Pure Bending ◽  
Laminated Shells ◽  
Limit Model ◽  
Interfacial Surface

We develop an asymptotic model for the finite-deformation, small-strain response of thin laminated shells composed of two perfectly bonded laminae that exhibit reflection symmetry of the material properties with respect to an interfacial surface. No a priori hypotheses are made concerning the kinematics of deformation. The asymptotic procedure culminates in a generalization of Koiter's well-known shell theory to accommodate the laminated structure, and incorporates a rigorous limit model for pure bending.

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