Transient waves in inhomogeneous anisotropic elastic plates

1986 ◽  
Vol 58 (1-2) ◽  
pp. 41-57 ◽  
Author(s):  
H. Cohen ◽  
R. S. D. Thomas
Keyword(s):  
Elastic Plates ◽  
Transient Waves ◽  
Anisotropic Elastic

Transient waves in inhomogeneous isotropic elastic plates

1984 ◽  
Vol 53 (3-4) ◽  
pp. 141-161 ◽  
Author(s):  
H. Cohen ◽  
R. S. D. Thomas
Keyword(s):  
Elastic Plates ◽  
Transient Waves

General Solutions for the Statics of Anisotropic, Transversely Inhomogeneous Elastic Plates in Terms of Complex Functions

2006 ◽  
Vol 11 (6) ◽  
pp. 596-628 ◽  
Author(s):  
Kostas P. Soldatos
Keyword(s):  
General Solution ◽  
Elastic Plate ◽  
Plate Theory ◽  
High Order ◽  
Transverse Strain ◽  
Elastic Plates ◽  
General Solutions ◽  
Material Inhomogeneity ◽  
Complex Functions ◽  
Anisotropic Elastic

This paper develops the general solution of high-order partial differential equations (PDEs) that govern the static behavior of transversely inhomogeneous, anisotropic, elastic plates, in terms of complex functions. The basic development deals with the derivation of such a form of general solution for the PDEs associated with the most general, two-dimensional (“equivalent single-layered”), elastic plate theory available in the literature. The theory takes into consideration the effects of bending–stretching coupling due to possible un-symmetric forms of through-thickness material inhomogeneity. Most importantly, it also takes into consideration the effects of both transverse shear and transverse normal deformation in a manner that allows for a posteriori, multiple choices of transverse strain distributions. As a result of this basic and most general development, some interesting specializations yield, as particular cases, relevant general solutions of high-order PDEs associated with all of the conventional, elastic plate theories available in the literature.

Transient waves in inhomogeneous anisotropic elastic shells

1989 ◽  
Vol 77 (1-2) ◽  
pp. 47-67 ◽  
Author(s):  
H. Cohen ◽  
R. S. D. Thomas
Keyword(s):  
Transient Waves ◽  
Elastic Shells ◽  
Anisotropic Elastic

Transient waves in a layered anisotropic elastic medium

1985 ◽  
Vol 397 (1812) ◽  
pp. 67-85 ◽  
Keyword(s):  
Wave Propagation ◽  
General Solution ◽  
Applied Load ◽  
Layered Medium ◽  
Elastic Materials ◽  
Transient Waves ◽  
Anisotropic Elastic Medium ◽  
Unit Step ◽  
Stress Components ◽  
Anisotropic Elastic

Wave propagation in a periodically layered medium is studied in which each period consists of two layers of homogeneous anisotropic elastic materials. The layered medium occupies the half-space x ≥ 0 in which the x -axis is normal to the layers. Transient waves in the layered medium are generated by a unit step load in time applied at x = 0. A general solution that applies to any x is obtained in the form of a Laplace transform. Asymptotic solutions valid for large x are then deduced. If the applied load at x = 0 is in the direction of one of the polarization vectors for the layered medium determined here, the stress components propagate uncoupled asymptotically. For general loadings, there are three ‘heads of the pulses’, each of which is in the form of an Airy integral.

scholarly journals On the problems of nonhomogeneous and anisotropic elastic layer-composite plates

1994 ◽  
Vol 16 (4) ◽  
pp. 1-10
Author(s):  
Dao Huy Bich
Keyword(s):  
Experimental Data ◽  
Elastic Layer ◽  
Composite Plates ◽  
Homogenization Method ◽  
Effective Modulus ◽  
Elastic Plates ◽  
Dynamic Problems ◽  
Layer Composite ◽  
Material Behaviors ◽  
Anisotropic Elastic

Using the homogenization method problems of nonhomogeneous and anisotropic elastic layer composite plates reduce to the problems of homogeneous and anisotropic elastic plates. The formulae of effective modulus theory determining material behaviors in this cases are given and can be checked by experimental data. Obtained results allow to analyze static and dynamic problems of composite plates by well - know methods.

Exact Theory of Heterogeneous Anisotropic Elastic Plates

1993 ◽  
Vol 123-125 ◽  
pp. 235-244 ◽  
Author(s):  
A.J.M. Spencer ◽  
P. Watson ◽  
T.G. Rogers
Keyword(s):  
Elastic Plates ◽  
Exact Theory ◽  
Anisotropic Elastic
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