Discussion of finite deformation viscoelasticity laws with reference to torsion loading

Citation
N. Huber et C. Tsakmakis, Discussion of finite deformation viscoelasticity laws with reference to torsion loading, CONTIN MECH, 12(5), 2000, pp. 303-323
Citations number
5
Categorie Soggetti
Mechanical Engineering
Journal title
CONTINUUM MECHANICS AND THERMODYNAMICS
ISSN journal
09351175 → ACNP
Volume
12
Issue
5
Year of publication
2000
Pages
303 - 323
Database
ISI
SICI code
0935-1175(200010)12:5<303:DOFDVL>2.0.ZU;2-Y
Abstract
In a previous paper two classes of finite deformation viscoelasticity laws, referred to as Model A and Model B, respectively, have been introduced. Th ey were derived as finite deformation counterparts of two well-known spring -dashpot linear solids, the first one being a spring in parallel with a Max well element and the second model consisting of a spring in series with a K elvin element. In particular, two special forms of the free energy function related to Model A (respectively to Model B) were considered, implying two different finite deformation viscoelasticity laws referred to as Model Al and Model A2 (respectively Model B1 and Model B2). In the present paper we discuss predicted responses of these models with reference to simple torsio n as well as torsion with free ends. Generally, the investigations of the p aper have fundamental character in what concerns the basic concepts in form ulating viscoelastic models of rate type.