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An Analysis of Materials of Differential Type

<p> An investigation of general Materials of Differential
Type [MDT], and Motions With Constant Stretch History [MCSH]
is presented. Rivlin-Ericksen tensors An are shown to result
from a Taylor series expansion of the relative strain tensor
Ct(T). Internal constraint in MDT is discussed. General
Solutions of Motions of Differential Type are worked out.
Dynamically possible stresses are found for certain irrotational
motions. Theorems regarding necessary and sufficient
conditions for MCSH are proved. A class of MCSH is introduced,
and an approximate MCSH is suggested. Necessary equations
regarding gradients of a scalar-valued tensor function are
derived. </p> / Thesis / Master of Engineering (MEngr)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/19721
Date04 1900
CreatorsMisra, Bijoy
ContributorsOravas, G. A., Civil Engineering and Engineering Mechanics
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish

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