A generalization of Alfrey's theorem for viscoelastic media
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Title 
A generalization of Alfrey's theorem for viscoelastic media


Creator 
Tsien, H. S.


Description 
For the nonhomogeneous stresses in isotropic incompressible viscoelastic 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 selfevident.


Publisher 
Brown University


Date 
195004


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 viscoelastic media. Quarterly of Applied Mathematics, 8 (1). pp. 104106. ISSN 0033569X. 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/ 
