Creep and Relaxation of Nonlinear Viscoelastic Materials With an Introduction to Linear Viscoelasticity

Findley, W. N.; Lai, James S.; Onaran, K.; Christensen, Richard M.

doi:10.1115/1.3424077

Cited by 572 publications

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“…19 It consists of a linear spring and linear viscous element in series and exhibits time-dependent stress dissipation under application of an external strain. The characteristic relaxation time is given by t R ) k/(γω 2 ), where k is the measured junction stiffness, γ is the measured damping coefficient, and ω is the oscillation (angular) frequency of the cantilever.…”

Section: Resultsmentioning

confidence: 99%

Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions

et al. 2006

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There has been a long-standing debate about the physical state and possible phase transformations of confined liquids. In this report, we show that a model-confined liquid can behave both as a Newtonian liquid with very little change in its dynamics and as a pseudosolid, depending solely on the rate of approach of the confining surfaces. Thus, the confined liquid does not exhibit any confinement-induced solidification in thermodynamic equilibrium. Instead, solidification is induced kinetically when the two confining surfaces are approached with a minimum critical rate. This critical rate is surprisingly slow (on the order of 6 Å/s), explaining the frequent observation of confinementinduced solidification.

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Section: Resultsmentioning

confidence: 99%

Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions

et al. 2006

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“…1, e.g. [Findley, 1989;Ranalli, 1995]). The parameter R, defined in Schmalholz and Podladchikov [1999,2000], suffices to determine whether a folding layer with Maxwell theology behaves similarly to a viscous layer (quasiviscous regime, R < 1) or an elastic layer (quasi-elastic regime, R > 1, Figs.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic folding: Maxwell versus Kelvin Rheology

Schmalholz

Podladchikov

2001

Geophysical Research Letters

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Abstract.Folding of a viscoelastic layer embedded in a viscous matrix is studied analytically using two viscoelastic theological models: The Maxwell and the Kelvin model. The layer deformation behaviour approximates the viscous or elastic limits depending on the single parameter, R, which is proportional to the viscosity contrast and the ratio of layer-parallel stress to shear modulus. A layer with Maxwell theology approximates this limit that generates the fastest amplification whereas a layer with Kelvin theology approximates the slowest limit.For R < I the viscous limit is fastest whereas for R > I the elastic limit is fastest. TheKelvin theology is suitable to describe the effective flexural response of a lithospheric plate consisting of an elastic layer overlying a viscous layer, since the Kelvin theology yields an identical bending moment. A critical elastic layer thickness, R2H/3 (H-lithospheric thickness), is derived at which the deformation behaviour of the lithospheric plate changes from quasi-viscous to quasi-elastic.

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“…If the modified superposition principle is applicable for the investigated materials, the kernel functions in the above general multiple integral representation will have their simplification forms in such relations [3,4]:…”

Section: ( ) J T δ -Simplified Multiple Integral Representationmentioning

confidence: 99%

“…(4) yields the Findley model for nonlinear viscoelastic creep [4], which was quite accurately verified to describe the creep of many polymer solids over a wide time span:…”

Section: -Findley Model Fittingmentioning

confidence: 99%

“…If a sufficiently accurate constitutive relation is to be realized, the nonlinearity must be taken into account. To that end, multiple hereditary integral representations have been extensively discussed since the 1950s [1][2][3]; actually, they are essentially extensions of the Boltzmann single integral representation, but using higher order stress or strain terms to account for nonlinear behavior [4]. The major drawback of this approach is that large numbers of experiments need to be done to determine all kernel functions, even if only a few multiple integral terms are selected to approximate the material's constitutive behavior.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of Nonlinear Viscoelastic Creep of Polycarbonate

2007

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Abstract:The creep behavior of a commercial grade polycarbonate was investigated in this study. 10 different constant stresses ranging from 8 MPa to 50 MPa were applied to the specimen, and the resultant creep strains were measured at room temperature. It was found that the creep could be modeled linearly below 15 MPa, and nonlinearly above 15 MPa. Different nonlinear viscoelastic models have been briefly reviewed and used to fit the test data. It is shown that the Findley model is a special case of the Schapery model, and both the Findley model and the simplified multiple integral representation are suitable for properly describing the creep behavior of the polycarbonate investigated in this paper; however, the Findley model fit the data better than the simplified multiple integral with three terms.

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Creep and Relaxation of Nonlinear Viscoelastic Materials With an Introduction to Linear Viscoelasticity

Cited by 572 publications

References 0 publications

Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions

Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions

Viscoelastic folding: Maxwell versus Kelvin Rheology

Modeling of Nonlinear Viscoelastic Creep of Polycarbonate

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