Abstract
The application of a finite difference-type method to the numerical investigation of Structure-Property relationships for a simple general structure referred to as the Generalized Parallelepipedic Particle in a Parallelepipedic Array (GPPPA) is described. Numerical results are compared to the predictions of a simple, semi-empirical analytical relation ship referred to as the Generalized Rayleigh-Maxwell Relationship for Parallelepipedic Particles (GRMPP) and the agreement is found to be good for a wide range of values of Structure and Property parameters.
References
1.
G.S. Springer
,
S.W. Tsai
, Thermal Conductivity of Unidirectional Materials
J. Composite Mater ., 1 , 166 (1967 ).
2.
G.E. Zinsmeister
,
K.S. Purohit
, Comments on Springer and Tsai's Method of Predicting Effective Thermal Conductivities of Unidirectional Materials , J. Composite Mater ., 4 , 278 (1970 ).
3.
J.-M. Charrier
, Basic Aspects of Structure-Property Relationships for Composites, Polym
Eng. Sci. , 15 , 731 (1975 ).
4.
Lord Rayleigh
, On the Influence of Obstacles Arranged in Rectangular Order on the Properties of a Medium , Phil. Mag ., 34 , 481 (1892 ).
5.
C. Maxwell
, "Treatise of Electricity and Magnetism" Vol. I Oxford University Press , London (1873 ).
6.
J.-M. Charrier, Structure-Properties Relationships for Selected Structures, Paper in preparation.
7.
J.-M. Charrier
,
A.G. Dickson
and
R. Gupta
, Structure-Properties Relationships for Interconnected Particles Paper in preparation.
8.
J.P. Holman
, "Heat Transfer,"
Fourth Edition McGraw-Hill , New York (1976 ).
9.
E. Isaacson
and
H.B. Keller
, "Analysis of Numerical Methods"
J. Wiley & Sons , New York (1966 ).
10.
D.D. McCracken
, "FORTRAN with Engineering Applications"
J. Wiley & Sons , New York ( 1967 ).
11.
M.L. James
, "Applied Numerical Methods for Digital Computation with FORTRAN International Textbook Co (1967 ).
12.
D.D. McCracken
and
W.S. Dorn
, "Numerical Methods and FORTRAN Programming"
J. Wiley & Sons , New York (1968 ).
13.
B. Carnahan
,
H.A. Luther
and
J.O. Wilkes
, "Applied Numerical Methods"
J. Wiley & Sons , New York ( 1969 ).
14.
T. Varadi
, Internal Report , Department of Chemical Engineering , McGill University (1975 ).
15.
Y.K. Li
, Internal Reports, Department of Chemical Engineering , McGill University (1975 , 1976).