N. Huber et C. Tsakmakis, Discussion of finite deformation viscoelasticity laws with reference to torsion loading, CONTIN MECH, 12(5), 2000, pp. 303-323
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.