Stability and well-posedness of a rate-dependent strain-softening plasticity model

Zuo, Q. H.; Alldredge, David J.

doi:10.1504/ijtamm.2010.033600

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…The stability and well-posedness of a simple rate-dependent model for strain-softening materials has been studied by Zuo and Alldredge (2010). They have found that the rate of growth for perturbations with short wavelength is severely retarded by the material viscosity.…”

Section: Introductionmentioning

confidence: 99%

Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Awasthi

Agrawal

2011

IJTAMM

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Viscous contribution for the Viscous Potential Flow (VPF) analysis of capillary instability with axial electric field at the interface of two viscous fluids has been analysed. In VPF, viscosity enters through normal stress balance and the effects of shearing stresses are completely ignored. To include the effect of shearing stresses, viscous pressure is included in normal stress balance along with irrotational pressure and it is assumed that the viscous contribution to the irrotational pressure will resolve the discrepancy between the tangential stresses at the interface. Stability criterion is given in terms of critical value of electric field. Various graphs have been drawn to show the effect of the parameters, such as electric field, inner fluid fraction, Ohnesorge number, conductivity ratio and permittivity ratio.

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Section: Introductionmentioning

confidence: 99%

Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Awasthi

Agrawal

2011

IJTAMM

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Stability and well-posedness of a rate-dependent damage model for brittle materials based on crack mechanics

Kunin

Zuo

2016

Applied Mathematical Modelling

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Elastic waves and damage quantification in brittle material with evolving damage

Zuo¹,

Deganis²,

Wang³

2012

J. Phys. D: Appl. Phys.

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This paper presents an analysis of the elastic wave propagation in brittle materials containing a distribution of microcracks. The crack-size distribution is assumed to be isotropic and exponential. The evolution of the mean crack size is described by a rate-dependent damage model based on the mechanics of microcracks. The analysis shows that the elastic wave speeds of a brittle material are sensitive to the change in the mean size of the distributed cracks in the material. The dependence of the wave speeds on the applied strain can also be used to validate the damage model. An example of a brittle ceramic under uniaxial-strain tension is presented to show quantitatively the changes in the longitudinal and shear wave speeds as functions of the applied strain. Explicit relations between the wave speeds and the mean crack size in the material are given.

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Stability and well-posedness of a rate-dependent strain-softening plasticity model

Cited by 3 publications

References 23 publications

Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Stability and well-posedness of a rate-dependent damage model for brittle materials based on crack mechanics

Elastic waves and damage quantification in brittle material with evolving damage

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