The Thermorheologically Complex Material

Item

Title
The Thermorheologically Complex Material
Report Number
WL-TR-91-3078 Volume I, p. CBD-1
Creator
Bagley, Ronald L.
Corporate Author
Air Force Institute of Technology
Laboratory
Wright Laboratory
Date
1991
Date Issued
1991-08
Extent
1
Contract
Laboratory Research - No Contract
DoD Project
2401
DoD Task
240104
Identifier
ADA241311
Format
1 online resource
Abstract
An approximate quantum mechanical description of molecular energy transitions leads to fractional order time derivative descriptions of linear viscoelastic stress relaxation in polymers. The resulting fractional calculus stress-strain constitutive laws are mathematically compact and suitable for rheological and engineering analyses. The mathematical form of the models suggests a modification to the thermorheologically simple material that enables the description of temperature-dependent changes to the shape of curves representing a material's modulus in the transition region. The fractional calculus models are seen to be extensions of the traditional exponential models of stress relaxation.
ACCEPTED FOR PUBLICATION IN THE
International Journal of Engineering Science, 1991
Description
An approximate quantum mechanical description of molecular energy transitions leads to fractional order time derivative descriptions of linear viscoelastic stress relaxation in polymers. The resulting fractional calculus stress-strain constitutive laws are mathematically compact and suitable for rheological and engineering analyses. The mathematical form of the models suggests a modification to the thermorheologically simple material that enables the description of temperature-dependent changes to the shape of curves representing a material's modulus in the transition region. The fractional calculus models are seen to be extensions of the traditional exponential models of stress relaxation.
ACCEPTED FOR PUBLICATION IN THE
International Journal of Engineering Science, 1991
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Illinois Tech Related
No
Photo Quality
Not Needed
Report Availability
Full text available
Type
article
Is Part Of
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (Pages AAC-1 through DCC-19)
Media
article18

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