Affiliation:
1. Henan Polytechnic University
2. University of Science and Technology Beijing
Abstract
Abstract
Cavity bifurcation is an important mechanism of damage and fracture failure of various materials. The thermal cavitation problem of a composite sphere composed of two kinds of viscoelastic materials and subjected to a uniform temperature field was studied in this paper. Based on the finite deformation dynamics theory, the nonlinear mathematical model of describing cavity movement in a composite sphere was established by employing the Kelvin-Voigt differential type constitutive equation of thermo-visco-elasticity. Adopting the dimensionless transformation, a parametric cavitated bifurcation solution describing the cavity radius with the temperature was obtained. And the dynamical variation curves of the cavity radius increasing with the external temperature, the radius ratios, and the material parameters were also discussed. It was proved that the dynamical growth of an infinitely large sphere including a small sphere could also be achieved by a finitely composite sphere.
Publisher
Research Square Platform LLC
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