A constitutive equation for nonlinear viscoelasticity is used to model the mechanical response of solid polymers such as polycarbonate. The nonlinearity arises from a reduced time which causes stress relaxation to accelerate with increasing strain. The constitutive equation can account for the occurrence of yield in a homogeneous uniaxial constant strain rate test. The constitutive equation is ...

The creep deformation and failure of high Cr steel component and weld is a challenging problem for power generation industries. There is a lack of good understanding of the precise nature and role of cavitation on the creep deformation and rupture. Creep damage constitutive equation developed either specifically developed for this type of steel or borrowed from existing one have been used in re...

In this paper, after reviewing the form of constitutive equations for a third grade Korteweg fluid, recently derived by means an extended Liu procedure, equilibrium problem is investigated. By considering two-dimensional setting, single nonlinear elliptic equation such that conditions are identically satisfied. Such discussed both analytically and numerically. Moreover, particular boundary valu...

The nitrogen-containing austenitic stainless steel 316LN has been chosen as the material for nuclear main-pipe, which is one of the key parts in 3rd generation nuclear power plants. In this research, a constitutive model of nitrogen-containing austenitic stainless steel is developed. The true stress-true strain curves obtained from isothermal hot compression tests over a wide range of temperatu...

We give a short survey of several results concerning mathematical analysis of models describing flows of incompressible rate type fluids. After recalling the system of governing equations, we first present the result of P.-L. Lions and N. Masmoudi [4] about global existence of solution to a special case of Oldroyd model. Then we present results of F.-H. Lin, C. Liu and P. Zhang [3] and Y. Chen ...

This work considers a viscoelastic fluid membrane which is initially tubular and bonded at each end to a rigid circular disc. The membrane is subjected to prescribed elongational and internal pressure histories causing it to undergo quasi-static axisymmetric deformation. This example is intended to simulate an experiment which has been recently proposed for the determination of constitutive pro...

Artificial materials including various kinds of polymers like polyurethanes are more and more widely used in different branches of science and also in biomedical engineering. The paper presents the process of creating a constitutive equation for a polyurethane nanocomposite which is considered to be hyper-elastic. The constitutive modelling was conducted within the range of application of the m...

This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....