Geometry independence of the normalized relaxation functions of viscoelastic materials in indentation

Cao, Yanping; Ji, Xiang-Ying; Feng, Xi‐Qiao

doi:10.1080/14786430903439826

Cited by 25 publications

(17 citation statements)

References 34 publications

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“…(20). The identified results match the real solutions [19] remarkably well (see Figure 6), which demonstrates that eq. (20) is applicable to all these cases.…”

Section: Resultssupporting

confidence: 79%

“…(20) is independent of the time l t . This is a significant advantage over the conventional quasi-static indentation relaxation test [19] and will be further illustrated in the sequel. We adopt the dynamic implicit algorithm in the simulations, and thus the stability of computation is unconditioned.…”

Section: Numerical Experimentsmentioning

confidence: 98%

“…For a rigid indenter with an arbitrary profile indenting into a homogeneous, isotropic and linear elastic solid with an arbitrary shape under given boundary conditions, the indentation load-depth curve, P-h, may be expressed as [19] We consider a rigid indenter with an arbitrary profile indenting into a homogeneous, isotropic and linear viscoelastic solid with an arbitrary shape, for which the stress-strain relation of the substrate is given by …”

Section: Theoretical Analysismentioning

confidence: 99%

“…The loss (damping) factor, , defined as the ratio of the loss modulus to the storage modulus, is usually adopted as an important measure of the damping property of a linear viscoelastic material [17,18]. Using a quasi-static indentation, the loss factor may be determined by measuring the reduced relaxation modulus in the time domain [19] and adopting the following relation:…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On determination of the damping factor of linear viscoelastic materials using dynamic indentation: a theoretical study

Cao

Feng

2011

Sci. China Phys. Mech. Astron.

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In this study, we theoretically investigate the dynamic indentation for measuring the loss (damping) factor of a linear viscoelastic material from its indentation response. A rigid indenter with arbitrary tip profile is assumed to indent into a viscoelastic substrate with arbitrary shape. We perform a theoretical analysis and identify the conditions under which the loss factor of the material can be determined from the phase angle between the applied harmonic indentation load and the corresponding harmonic displacement, a directly measurable quantity in a dynamic indentation test. To validate the conclusion drawn from our theoretical analysis, a series of numerical experiments are performed, including the spherical indentation of a soft layer with irregular surface morphology bonded to a rigid substrate, a conical indenter with tip defects indenting into a half-spherical particle, and the indentation of porous materials. This study may facilitate the use of the dynamic indentation technique to evaluate the damping properties of linear viscoelastic materials, including some advanced polymers and biological soft tissues. dynamic indentation, damping properties, viscoelastic materials, finite element simulation PACS: 46.35.+z, 46.80.+j, 46.15.-x

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“…(20). The identified results match the real solutions [19] remarkably well (see Figure 6), which demonstrates that eq. (20) is applicable to all these cases.…”

Section: Resultssupporting

confidence: 79%

Section: Numerical Experimentsmentioning

confidence: 98%

Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On determination of the damping factor of linear viscoelastic materials using dynamic indentation: a theoretical study

Cao

Feng

2011

Sci. China Phys. Mech. Astron.

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“…The creep response of a viscoelastic layer on a hard elastic substrate was previously studied in [26]. A general result concerning the geometry independence of the normalized relaxation function evaluated in a relaxation test was established by Cao et al [27]. Very recently, Argatov and Mishuris [28] obtained a general closed-form solution of the rebound indentation problem for a linear viscoelastic layer lying on a rigid substrate and loaded with a cylindrical flat-ended punch.…”

Section: Introductionmentioning

confidence: 97%

An analytical solution of the rebound indentation problem for an isotropic linear viscoelastic layer loaded with a spherical punch

Argatov

2012

Acta Mech

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A unilateral frictionless axisymmetric contact problem for an isotropic viscoelastic layer attached to a rigid substrate and loaded with a spherical indenter is considered. It is assumed that the indentation protocol is composed of two stages. In the indentation phase, the layer is subjected to displacement loading, while at the end of the first stage, the load is immediately removed and the second stage, called the recovery phase, lasts for a theoretically indefinite time. Under the assumption of time-independent Poisson's ratio, we derive closed-form analytical expressions for the contact force (in the indentation phase) and for the indentation displacement (in the the recovery phase). The obtained closed-form analytical solution is valid for the indentation phase with an arbitrary monotonic loading displacement and can be used for evaluation of the rebound indentation test for soft biological tissues and originally suggested for assessment of articular cartilage viability.

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Theoretical and computational modelling of instrumented indentation of viscoelastic composites

Cao

Chen

2011

Time Dependent Constitutive Behavior and Fracture/Failure Processes, Volume 3

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Geometry independence of the normalized relaxation functions of viscoelastic materials in indentation

Cited by 25 publications

References 34 publications

On determination of the damping factor of linear viscoelastic materials using dynamic indentation: a theoretical study

On determination of the damping factor of linear viscoelastic materials using dynamic indentation: a theoretical study

An analytical solution of the rebound indentation problem for an isotropic linear viscoelastic layer loaded with a spherical punch

Theoretical and computational modelling of instrumented indentation of viscoelastic composites

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