The contact problem in the linear theory of viscoelasticity

Graham, George A.

doi:10.1016/0020-7225(65)90018-2

Cited by 123 publications

(77 citation statements)

References 6 publications

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“…This relation has also been classically derived using more rigorous approaches [17,18], and applicability to viscoelastic property measurement has been discussed [17][18][19][20][21][22]. In general, equation (9) is only valid in the linear viscoelastic regime.…”

Section: Theorymentioning

confidence: 99%

Multiscale Creep Compliance of Epoxy Networks at Elevated Temperatures

et al. 2006

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Epoxy networks are thermoset polymers for which an important structural length scale, molecular weight between crosslinks (M c ), influences physical and mechanical properties. In the present work, creep compliance was measured for three aliphatic epoxy networks of differing M c using both macroscale torsion and microscale depth-sensing indentation at temperatures of 25 and 55-C. Analytical relations were used to compute creep compliance (J(t)) for each approach; similar results were observed for the two techniques at 25-C, but not at 55-C. Although creep compliance measurement differed at elevated temperatures, there were clear correlations between M c , glass transition temperature, T g , and the observed time-dependent mechanical behavior via both techniques at 55-C, but these correlations could not be seen at 25-C. This work demonstrates the capacity of depth-sensing indentation to differentiate among epoxy networks of differing structural configurations via J(t) for small material volumes at elevated temperatures.

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Section: Theorymentioning

confidence: 99%

Multiscale Creep Compliance of Epoxy Networks at Elevated Temperatures

et al. 2006

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“…The shear creep compliance can be measured directly via conventional tension or compression creep tests [11]. Based on the viscoelastic contact solution derived by Lee and Radok [12], Hunter [13], Graham [14] and Ting [15], researchers have increasingly proposed instrumented (conical and spherical) indentation methods to determine the shear creep compliance [1e9]. For the case of a conical indenter indenting the sample with an instantaneously applied and constant load, F 0 , the shear creep compliance can be calculated by…”

Section: Introductionmentioning

confidence: 99%

Nanoindentation creep of nonlinear viscoelastic polypropylene

Peng

Feng

et al. 2015

Polymer Testing

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a b s t r a c tUniaxial tensile creep tests at various applied stresses were carried out to demonstrate that PP is nonlinear viscoelastic. A novel phenomenological model consisting of springs, dashpots, stress-locks and sliders was proposed to describe the nonlinear viscoelasticity. Indentation creep tests at different applied load levels were also performed on nonlinear viscoelastic PP. It was found that the shear creep compliance varies with the applied load level when the applied load is less than 5 mN, which means the indentation creep behavior was nonlinear. To find the real reason for the nonlinearity in indentation creep tests, the elastic modulus at various indentation depths was measured using continuous stiffness measurements (CSM). By analyzing the variation of elastic modulus with indentation depth, the nonlinearity of indentation creep behavior was proved to be caused by the non-uniform properties in the surface of the specimen rather than nonlinear viscoelasticity.

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“…A variety of elastic models considering adhesion at different levels of elasticity and loads are also available. Elastic contact models considering different levels of anisotropy [15][16][17][18][19][20] and viscoelastic isotropic contact models [11][12][13][14] are available as well. However, a contact model that is able to integrate anisotropic behaviour, viscoelastic behaviour and adhesional forces between the surfaces in contact is not available in literature.…”

Section: Discussionmentioning

confidence: 99%

“…This was verified by performing DMA measurements; the results fit the equations from linear theory of viscoelasticity. The contact of the material without fibres can be described by the contact models for viscoelastic materials available in literature [11][12][13][14].…”

Section: Discussionmentioning

confidence: 99%

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Contact and friction in systems with fibre reinforced elastomers

Pareja¹

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The contact problem in the linear theory of viscoelasticity

Cited by 123 publications

References 6 publications

Multiscale Creep Compliance of Epoxy Networks at Elevated Temperatures

Multiscale Creep Compliance of Epoxy Networks at Elevated Temperatures

Nanoindentation creep of nonlinear viscoelastic polypropylene

Contact and friction in systems with fibre reinforced elastomers

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