A quasi-conforming triangular laminated composite shell element based on a refined first-order theory

1994 ◽  
Vol 13 (4) ◽  
pp. 295-314 ◽  
Author(s):  
Bao-Zong Huang ◽  
Vijay B. Shenoy ◽  
S. N. Atluri
Keyword(s):  
Composite Shell ◽  
Laminated Composite ◽  
Shell Element ◽  
Order Theory ◽  
First Order ◽  
First Order Theory

A Simple Higher-Order Theory for Laminated Composite Plates

1984 ◽  
Vol 51 (4) ◽  
pp. 745-752 ◽  
Author(s):  
J. N. Reddy
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Order Theory ◽  
Higher Order ◽  
Laminated Composite Plates ◽  
First Order ◽  
First Order Theory

A higher-order shear deformation theory of laminated composite plates is developed. The theory contains the same dependent unknowns as in the first-order shear deformation theory of Whitney and Pagano [6], but accounts for parabolic distribution of the transverse shear strains through the thickness of the plate. Exact closed-form solutions of symmetric cross-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and first-order shear deformation theory solutions. The present theory predicts the deflections and stresses more accurately when compared to the first-order theory.

A Continuum Model for Diffusion in Laminated Composite Media

1976 ◽  
Vol 98 (1) ◽  
pp. 133-138 ◽  
Author(s):  
A. Maewal ◽  
T. C. Bache ◽  
G. A. Hegemier
Keyword(s):  
Effective Conductivity ◽  
Continuum Theory ◽  
Laminated Composite ◽  
Order Theory ◽  
Attractive Alternative ◽  
Zeroth Order ◽  
Diffusion Type ◽  
First Order ◽  
First Order Theory ◽  
Higher Order Theory

Using a method developed for studying wave propagation problems, a continuum theory is developed for diffusion-type processes in a laminated composite with periodic micro-structure. Construction is based upon an asymptotic scheme in which a typical macrodimension is assumed large compared to a microdimension. The order of truncation of the asymptotic sequence so obtained defines a hierarchy of models. Solutions are given for the lowest-order models and compared with the results from a finite difference code. For most cases the zeroth-order “effective conductivity” theory yields good results. For exceptional problems requiring a higher-order theory, a modified version of the first-order theory is shown to suffice. For many applications these elementary equations may offer an attractive alternative to other means for obtaining solutions.

scholarly journals A first-order theory of Ulm type

Computability ◽  
2019 ◽  
Vol 8 (3-4) ◽  
pp. 347-358
Author(s):  
Matthew Harrison-Trainor
Keyword(s):  
Order Theory ◽  
First Order ◽  
First Order Theory

scholarly journals Quasi-decidability of a Fragment of the First-Order Theory of Real Numbers

2015 ◽  
Vol 57 (2) ◽  
pp. 157-185 ◽  
Author(s):  
Peter Franek ◽  
Stefan Ratschan ◽  
Piotr Zgliczynski
Keyword(s):  
Order Theory ◽  
Real Numbers ◽  
First Order ◽  
First Order Theory
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