2011 **Abstract:** The paper is designed to provide a theoretical mechanical model taking into account elastic, viscous and inertial nonlinearities simultaneously, for predicting the time dependent response of some materials under a constant loading. Numerical illustrations are carried out to investigate the effects of rheological coefficients action on the model.

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“…Another feature which involves the choice of this rational law is that ) ( becomes infinite force for a finite deformation tending towards unity ( 1 ), that is to say, for a strain range of about 100%. The present study, compared with the preceding models (Monsia 2011g;Monsia 2012), provides the advantage to assure or to control the nonlinearity of the model via an explicit material parameter, that is to say, via the coefficient of inertia c . Thus, the present model revealed that the mass of materials contributes highly to www.ccsenet.org/mer Mechanical Engineering Research Vol.…”

confidence: 99%

“…Another feature which involves the choice of this rational law is that ) ( becomes infinite force for a finite deformation tending towards unity ( 1 ), that is to say, for a strain range of about 100%. The present study, compared with the preceding models (Monsia 2011g;Monsia 2012), provides the advantage to assure or to control the nonlinearity of the model via an explicit material parameter, that is to say, via the coefficient of inertia c . Thus, the present model revealed that the mass of materials contributes highly to www.ccsenet.org/mer Mechanical Engineering Research Vol.…”

confidence: 99%

“…2, No. 1;2012 nonlinear properties of these mechanical systems. By numerical examples, we illustrated the predictive capability of the proposed model.…”

confidence: 99%