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ASTM Selected Technical Papers
Analysis of the Test Methods for High Modulus Fibers and Composites
By
JM Whitney
JM Whitney
1
Materials research engineer
,
Air Force Materials Laboratory, Wright-Patterson Air Force Base
,
Ohio 45433
;
symposium chairman
Search for other works by this author on:
ISBN-10:
0-8031-0701-3
ISBN:
978-0-8031-0701-4
No. of Pages:
417
Publisher:
ASTM International
Publication date:
1973

Material parameters which are dependent on direction of orientation can be best represented by tensors of appropriate ranks. Using tensor transformation rule and associated scalar invariants of the tensor, experimental data can be averaged and reduced to compact constants for engineering documentation and retrieval. Examples on data averaging of composite swelling coefficients and elastic compliances illustrate the simplicity and viability of this tensor averaging methodology.

1.
Hearmon
,
R. F S.
,
An Introduction to Applied Anisotropic Elasticity
,
Oxford University Press
,
Oxford
,
1961
.
2.
Halpin
,
J. C.
and
Pagano
,
N. J.
, “
Consequences of Environmentally Induced Dilatation in Solids
,” AFML TR 68 (395),
Air Force Materials Laboratory
.
3.
Springer
,
G. S.
and
Tsai
,
S. W.
,
Journal of Composite Materials
 0021-9983, Vol.
1
,
1967
, p. 166.
4.
Crank
,
J.
,
The Mathematics of Diffusion
,
Oxford University Press
,
Oxford
,
1955
.
5.
Tsai
,
S. W.
and
Wu
,
E. M.
,
Journal of Composite Materials
 0021-9983, Vol.
5
,
1971
, p. 58, also AFML-TR-71-12.
6.
Reissnei
,
F.
and
Stavski
,
Y.
,
Journal of Applied Mechanics
 0021-8936, Vol.
28
,
1961
, p. 402.
7.
Tsai
,
S. W.
,
Journal of Engineering for Industry
 0022-0817,
Transaction
 0022-0817, American Society of Mechanical Engineers, ASME, Vol.
83
,
1965
, p. 315.
8.
Wu
,
E. M.
and
Jerina
,
K. L.
,
Materials Research and Standard
 0025-5394, Vol.
12
, No.
2
,
1972
, p. 13.
9.
Wu
,
E. M.
, “
4th Order Tensor Invariants and Geometric Representation
,” ONR/ARPA Report HPC 70-123,
Office of Naval Research/Advanced Research Projects Agency
.
10.
Tsai
,
S. W.
and
Pagano
,
N. J.
in
Composite Materials Workshop
,
Tsai
S. W.
,
Halpin
J. C.
, and
Pagano
N. J.
, eds.,
Technomic
,
Stamford Conn.
,
1968
, pp. 233–253.
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