Record Details

A generalization of Alfrey's theorem for visco-elastic media

CaltechAUTHORS

View Archive Info
 
 
Field Value
 
Title A generalization of Alfrey's theorem for visco-elastic media
 
Creator Tsien, H. S.
 
Description For the non-homogeneous stresses in isotropic incompressible visco-elastic media characterized by linear relations between the components of stress, strain and their derivatives with respect to time, T. Alfrey has shown (Ref. 1) that in the case of the first boundary value problem, the stress distribution is identical with that in an incompressible elastic material under the same instantaneous surface forces. A similar result was obtained for the second boundary value problem where the displacements at the boundary are specified. It is the purpose of the present note to generalize this theorem to isotropic compressible media for problems involving body forces. Only the first boundary value problem will be discussed, as the corresponding theorem on the second boundary value problem is self-evident.
 
Publisher Brown University
 
Date 1950-04
 
Type Article
PeerReviewed
 
Format application/pdf
 
Identifier http://authors.library.caltech.edu/260/1/2_Tsien_HS_1950.pdf
Tsien, H. S. (1950) A generalization of Alfrey's theorem for visco-elastic media. Quarterly of Applied Mathematics, 8 (1). pp. 104-106. ISSN 0033-569X. http://resolver.caltech.edu/CaltechAUTHORS:JPC002 <http://resolver.caltech.edu/CaltechAUTHORS:JPC002>
 
Relation http://resolver.caltech.edu/CaltechAUTHORS:JPC002
http://authors.library.caltech.edu/260/