Dynamical cavitation and oscillation of an anisotropic incompressible hyper-elastic sphere

Ren, Jiusheng; Li, Han-Hai; Yuan, Xiying; Chang-jun, Cheng

doi:10.1007/s11433-012-4701-1

Cited by 1 publication

(2 citation statements)

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“…Sivaloganathan [3], Chou-Wang and Horgan [4], Horgan and Polignone [5], Shang and Cheng [6], and Ren and Cheng [7][8][9] have intensively studied the cavitation problems of hyperelastic materials. Similar studies on hyperelastic materials can be found in Lopez-Pamies [10], Cohen and Durban [11], and Ren and Li [12]. For the compressible hyperelastic materials, only several analytical solutions of the cavitation have been found for some specific forms of strain energy function.…”

Section: Introductionsupporting

confidence: 57%

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Research on the Thermal Cavitation Problem of a Preexisting Microvoid in a Viscoelastic Sphere

Chen

Shang

2013

Mathematical Problems in Engineering

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The cavitation problem of a preexisting microvoid in the incompressible viscoelastic sphere subjected to the uniform temperature field was studied in this paper. Based on the finite logarithmic strain measure for geometrically large deformation, the nonlinear mathematical model of this problem was established by employing the Kelvin-Voigt differential type constitutive equation of thermoviscoelasticity. Adopting the dimensionless transformation of each parameter, growth curves of the microvoid radius increasing with the temperature were given. And the results indicated that the generation of cavity could be regarded as the idealized model of microvoid growth. A parametric study, including the influences of the external temperature, the initial microvoid radius, and the material parameter on the microvoid radius, was also conducted. The sudden growth of infinitely large sphere with a preexisting microvoid could also achieved by the finitely large sphere.

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Section: Introductionsupporting

confidence: 57%

“…Integrating (12) with respect to 𝑟 from 𝛿 to 𝑟, then the radial stress 𝜎 𝑟 of thermo-visco-elastic region is obtained:…”

Section: Analytic Solutionmentioning

confidence: 99%

Research on the Thermal Cavitation Problem of a Preexisting Microvoid in a Viscoelastic Sphere

Chen

Shang

2013

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

Dynamical cavitation and oscillation of an anisotropic incompressible hyper-elastic sphere

Cited by 1 publication

References 13 publications

Research on the Thermal Cavitation Problem of a Preexisting Microvoid in a Viscoelastic Sphere

Research on the Thermal Cavitation Problem of a Preexisting Microvoid in a Viscoelastic Sphere

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