A Quantitative Study of a Crystalline Aggregate Model.

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Abstract:

A discrete aggregate model is applied to the study of theoretical macroscopic response of FCC metal polycrystals. General, dual inequalities of macroscopic plasticity theory are reviewed and exhibited on subsequent yield surfaces in both stress and strain space as calculated for aluminum under biaxial straining. Predicted stress-strain curves are shown corresponding to a partial cycle of loading and reverse loading. The aggregate model contains several thousand crystallographic slip systems, and all quantitative results are obtained through sequential solution of constrained quadratic programming problems governing the incremental crystal shears. Author

Author(s):
Havner, Kerry S. ; Varadarajan, Rangaswam
Author Organization(s):
NORTH CAROLINA STATE UNIV RALEIGH
Descriptive Note:
Technical rept.,
Pagination:
0040

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-72-1
Contract/Grant Number(s):
N00014-68-A-0187
Project Number(s):
NR-064-504
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*METAL CRYSTALS, DEFORMATION), (*ALUMINUM, DEFORMATION), STRESSES, STRAIN(MECHANICS), PLASTIC PROPERTIES, MATHEMATICAL MODELS, QUADRATIC PROGRAMMING
Field(s)/Group(s):
Metallurgy and Metallography
Keyword(s):
PLASTIC DEFORMATION, FACE CENTERED CUBIC LATTICES
Report Date:
1972 Jun 01