Asymptotic analysis of three-dimensional dynamical elastic equations for a thin multilayer anisotropic plate of arbitrary structure

1992 ◽  
Vol 56 (5) ◽  
pp. 637-644 ◽  
Author(s):  
D.D. Zakharov
Keyword(s):  
Asymptotic Analysis ◽  
Anisotropic Plate ◽  
Three Dimensional ◽  
Arbitrary Structure

Three-dimensional asymptotic analysis of multiple-electroded piezoelectric laminates

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 317-324 ◽  
Author(s):  
Zhen-Qiang Cheng ◽  
R. C. Batra
Keyword(s):  
Asymptotic Analysis ◽  
Three Dimensional

scholarly journals A Justification of Two-Dimensional Nonlinear Viscoelastic Shells Model

2012 ◽  
Vol 2012 ◽  
pp. 1-24
Author(s):  
Fushan Li
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Analysis ◽  
Laplace Transformation ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Nonlinear Viscoelastic ◽  
Leading Term ◽  
Viscoelastic Shells

By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional nonlinear viscoelastic shells model satisfied by the leading term of asymptotic expansion of the solution to the three-dimensional equations.

An Asymptotic Analysis of Three-Dimensional Extrusion

1989 ◽  
Vol 56 (3) ◽  
pp. 519-526 ◽  
Author(s):  
N. Aravas ◽  
R. M. McMeeking
Keyword(s):  
Asymptotic Analysis ◽  
Cross Sections ◽  
Three Dimensional ◽  
Constitutive Models ◽  
Approximate Solutions ◽  
The Finite Element Method ◽  
Wide Range ◽  
Metal Extrusion ◽  
Asymptotic Perturbation ◽  
Generalized Plane Strain

A new method of analysis of three-dimensional metal extrusion using asymptotic perturbation methods is presented in this paper. The plasticity model used depends on the first and second invariants of the stress tensor and covers a wide range of constitutive models commonly used for the analysis of metal-forming operations. It is shown that the three-dimensional extrusion problem can be approximated, to leading order, by a problem of generalized plane-strain. The results of the asymptotic analysis together with the finite element method are used to obtain approximate solutions for extrusions of elliptic or square cross-sections from round billets.

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