Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow

Spiegelberg, Stephen H.; McKinley, Gareth H.

doi:10.1016/s0377-0257(96)01475-9

Cited by 136 publications

(81 citation statements)

References 21 publications

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“…However, with bulk fingering the shape instability exists within the bulk of the compliant layer and not at the interface with the rigid indenter. 17,25 Bulk fingering is closely related to cavitation, with the difference being that the cavity-type defect forms at the edge of the compliant layer. Once nucleated, these defects grow parallel to the adhesive/substrate interface.…”

Section: Internal Crack Propagation [Fig 2(b)]mentioning

confidence: 99%

“…2͑d͔͒. 17,25 Although an exact criteria for the occurrence of fingering has not been determined, the origins of this phenomenon can also be traced to the release of lateral constraints within the compliant layer. 17 Experiments have confirmed that the initial driving force is elastic and that finger formation typically occurs prior to cavitation.…”

Section: B Cavitation and Bulk Fingeringmentioning

confidence: 99%

See 1 more Smart Citation

Deformation and failure modes of adhesively bonded elastic layers

Crosby¹,

Shull²,

Lakrout

et al. 2000

Journal of Applied Physics

212

200

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Adhesively bonded elastic layers with thicknesses that are small relative to their lateral dimensions are used in a wide variety of applications. The mechanical response of the compliant layer when a normal stress is imposed across its thickness is determined by the effects of lateral constraints, which are characterized by the ratio of the lateral dimensions of the layer to its thickness. From this degree of confinement and from the material properties of the compliant layer, we predict three distinct deformation modes: ͑1͒ edge crack propagation, ͑2͒ internal crack propagation, and ͑3͒ cavitation. The conditions conductive for each mode are presented in the form of a deformation map developed from fracture mechanics and bulk instability criteria. We use experimental data from elastic and viscoelastic materials to illustrate the predictions of this deformation map. We also discuss the evolution of the deformation to large strains, where nonlinear effects such as fibrillation and yielding dominate the failure process.

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Section: Internal Crack Propagation [Fig 2(b)]mentioning

confidence: 99%

Section: B Cavitation and Bulk Fingeringmentioning

confidence: 99%

Deformation and failure modes of adhesively bonded elastic layers

Crosby¹,

Shull²,

Lakrout

et al. 2000

Journal of Applied Physics

212

200

View full text Add to dashboard Cite

show abstract

“…While fingering instabilities in thin layers are generally attributed to some type of flow, the stresses which ultimately lead to viscous fingering may originate from the elastic character of the material [4]. The simplest way to illustrate this point is to consider the stress distribution under a flat cylindrical punch of radius a, which is placed in contact with a linearly elastic layer of thickness h. The shape of the stress distribution within the layer, which we assume to be incompressible, is determined by the lateral confinement, which is in turn characterized by the quantity a͞h.…”

Section: (Received 28 September 1999)mentioning

confidence: 99%

Fingering Instabilities of Confined Elastic Layers in Tension

2000

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“…Also, these authors reported that Newtonian-liquid bridges of similar viscosity, did not display such instabilities. Spiegelberg and McKinley [18] generated numerical predictions for stretched filaments of Oldroyd-B fluids, using commercially-based software (POLYFLOW). These authors observed that the initial flow-inhomogenity stimulated the formation of a stress boundary layer near the free-surface of the liquid-bridge at large-strains.…”

Section: Introductionmentioning

confidence: 99%

Sub-cell approximations for viscoelastic flows—filament stretching

Webster

Matallah

Sujatha

2005

Journal of Non-Newtonian Fluid Mechanics

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The accuracy, stability and consistency of new stress interpolation schemes is investigated, based upon sub-cell approximations. This includes the contrast of two alternative hybrid spatial discretisations: a cell-vertex finite element/volume (fe/fv) scheme and a finite element equivalent (fe). Here, the interest is to explore the consequences of utilizing conventional methodology and to demonstrate resulting drawbacks in the presence of complex stress equation source terms. Alternative strategies worthy of consideration are presented for a constant shear viscosity model, that of Oldroyd-B, with strain-hardening and unbounded extensional properties. We demonstrate how high-order accuracy may be achieved by respecting consistency in our algorithmic constructions.Both fe-and fv-spatial discretisations are embedded within this methodology. Linear interpolation for stress, of either fe-or fv-form on triangular sub-cells, is referenced within parent triangular finite elements in two dimensions. Finite element discretization is employed for the momentum and continuity system, via a second-order pressurecorrection scheme. In this regard, a complex filament-stretching flow with a free-surface is selected to compute the transient evolution of kinematic and stress fields. Shortcomings of various up-winding schemes are discussed, whilst dealing with such free-surface type problems and appropriate strategies for dealing with these types of problems are outlined.

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Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow

Cited by 136 publications

References 21 publications

Deformation and failure modes of adhesively bonded elastic layers

Deformation and failure modes of adhesively bonded elastic layers

Fingering Instabilities of Confined Elastic Layers in Tension

Sub-cell approximations for viscoelastic flows—filament stretching

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