Composites with a Periodic Structure, Mathematical Analysis and Numerical Treatment.

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Abstract:

This paper introduces a systematic approach for the derivation of models that describe the behavior of composites with a periodic structure. A technique for analyzing the accuracy of the model is addressed. Although the theory has been developed for the general, n-dimensional setting, the main ideas in this paper are presented for the 1-dimensional case only, for reasons of simplicity. The effectivity of the approach is illustrated with numerical examples. Also, the approach has the potential of being used to adaptively select the best homogenization model. Author

Author(s):
Babuska, I. ; Morgan, R. C.
Author Organization(s):
MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS
Descriptive Note:
Final rept.,
Pagination:
0027

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
BN-1030
Contract/Grant Number(s):
N00014-77-C-0623
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_5.3.1_Analyze Problem; JCA_1.2_Force Preparation; JCA_1_Force Support
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*COMPOSITE MATERIALS, *MATHEMATICAL ANALYSIS, *NUMERICAL METHODS AND PROCEDURES, FOURIER TRANSFORMATION, STRUCTURAL PROPERTIES, ONE DIMENSIONAL, GRAPHS, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, HOMOGENEITY, APPROACH
Field(s)/Group(s):
Laminates and Composite Materials, Numerical Mathematics
Report Date:
1984 Oct 01