FINITE CIRCUMFERENTIAL SHEARING OF NONLINEAR SOLIDS IN THE CONTEXT OFTHERMOELASTICITY

Citation
Kr. Rajagopal et Yn. Huang, FINITE CIRCUMFERENTIAL SHEARING OF NONLINEAR SOLIDS IN THE CONTEXT OFTHERMOELASTICITY, IMA journal of applied mathematics, 53(2), 1994, pp. 111-125
Citations number
30
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
02724960
Volume
53
Issue
2
Year of publication
1994
Pages
111 - 125
Database
ISI
SICI code
0272-4960(1994)53:2<111:FCSONS>2.0.ZU;2-8
Abstract
The authors investigate the presence of 'boundary layer' like structur es wherein strains are confined adjacent to boundaries due to the circ umferential shearing of nonlinear elastic materials, in the context of finite thermoelasticity. It is found that even in the case of the cla ssical neo-Hookean model pronounced boundary layer structures are poss ible. For materials whose shear modulus depends on both the temperatur e and the stretch, it is shown that the effects can either reinforce o r mitigate each other. The problem considered here reduces to that stu died by Tao and co-workers (1992) for the isothermal case.