Cavitation in Nonlinearly Elastic Solids: A Review

Horgan, Cornelius O.; Polignone, Debra A.

doi:10.1115/1.3005108

Cited by 203 publications

(128 citation statements)

References 27 publications

(86 reference statements)

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“…Such a phenomenon, predictable for energetic reasons [19][20][21], may occur if the negative pressure decreases below a certain threshold. Experiments with simple liquids [22][23][24] indicate that in the absence of impurities this threshold is controlled by van der Waals forces.…”

Section: Other Means Of Studymentioning

confidence: 99%

Volume changes in a filled elastomer studied via digital image correlation

et al. 2012

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractVolumetric strains in a filled SBR specimen subjected to cyclic uniaxial tension with increasing extensions are studied. Digital image correlation is used to follow the kinematics of two orthogonal free faces. A volume expansion is observed past a critical elongation, which can be interpreted as the onset of cavitation. Under unloading, the volume returns to its original value and remains constant upon reloading. Increasing the elongation to higher values than the previous cycle leads again to a volumetric expansion.

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Section: Other Means Of Studymentioning

confidence: 99%

Volume changes in a filled elastomer studied via digital image correlation

et al. 2012

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“…See the review article by Horgan & Polignone (1995) for details. This result has been used in implementation of the CRH technique for hydrogels proposed by Zimberlin et al (2007).…”

Section: Hydrostatic Stress Response For the Model (34)mentioning

confidence: 99%

Simple shearing of soft biological tissues

Horgan

Murphy

2010

Proc. R. Soc. A.

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Shearing is induced in soft tissues in numerous physiological settings. The limited experimental data available suggest that a severe strain-stiffening effect occurs in the shear stress when soft biological tissues are subjected to simple shear in certain directions. This occurs at relatively small amounts of shear (when compared with the simple shear of rubbers). This effect is modelled within the framework of nonlinear elasticity by consideration of a class of incompressible anisotropic materials. Owing to the large stresses generated for relatively small amounts of shear, particular care must be exercised in order to maintain a homogeneous deformation state in the bulk of the specimen. The results obtained are relevant to the development of accurate shear test protocols for the determination of constitutive properties of soft tissues. It is also demonstrated that there is a fundamental ambiguity in determining the normal stresses in simple shear when soft tissues are modelled as incompressible hyperelastic materials owing to the arbitrary nature of the hydrostatic pressure term. Two physically well-motivated approaches to determining the pressure are presented here, and the resulting hydrostatic stresses are compared and contrasted. The possible generation of cavitational damage owing to critical hydrostatic stress levels is briefly discussed.

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“…The unstable void growth has been studied by Bishop et al [1] for spherically symmetric conditions, and similar cavitation instabilities have been found by Huang et al [2] and Tvergaard et al [3] for spherical voids subject to axisymmetric stress conditions, as long as the ratio of the transverse stress and the axial tensile stress is near unity. In related spherically symmetric studies for nonlinear elasticity [4][5][6] the occurrence of a cavitation instability has been interpreted either as a bifurcation from a homogeneously stressed solid to a solid containing a void, or as the growth of a pre-existing void.…”

Section: Introductionmentioning

confidence: 99%

Influence of porosity on cavitation instability predictions for elastic–plastic solids

Tvergaard¹,

Vadillo²

2007

International Journal of Mechanical Sciences

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Cavitation instabilities have been found for a single void in a ductile metal stressed under high triaxiality conditions. Here, the possibility of unstable cavity growth is studied for a metal containing many voids. The central cavity is discretely represented, while the surrounding voids are represented by a porous ductile material model in terms of a field quantity that specifies the variation of the void volume fraction in the surrounding metal. As the central void grows, the surrounding void volume fractions increase in nonuniform fields, where the strains grow very large near the void surface, while the high stress levels are reached at some distance from the void, and the interaction of these stress and strain fields determines the porosity evolution. In some cases analysed, the porosity is present initially in the metal matrix, while in other cases voids nucleate gradually during the deformation process. It is found that interaction with the neighbouring voids reduces the critical stress for unstable cavity growth.

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Cavitation in Nonlinearly Elastic Solids: A Review

Cited by 203 publications

References 27 publications

Volume changes in a filled elastomer studied via digital image correlation

Volume changes in a filled elastomer studied via digital image correlation

Simple shearing of soft biological tissues

Influence of porosity on cavitation instability predictions for elastic–plastic solids

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