SHANG Xin-chun, ZHANG Rui, REN Hui-lan. Analysis for Cavitation Problem of Elastic Composite Ball Heated[J]. Applied Mathematics and Mechanics, 2011, 32(5): 556-562. doi: 10.3879/j.issn.1000-0887.2011.05.005
Citation: SHANG Xin-chun, ZHANG Rui, REN Hui-lan. Analysis for Cavitation Problem of Elastic Composite Ball Heated[J]. Applied Mathematics and Mechanics, 2011, 32(5): 556-562. doi: 10.3879/j.issn.1000-0887.2011.05.005

Analysis for Cavitation Problem of Elastic Composite Ball Heated

doi: 10.3879/j.issn.1000-0887.2011.05.005
  • Received Date: 2011-01-04
  • Rev Recd Date: 2011-03-04
  • Publish Date: 2011-05-15
  • The cavitation problem of composite ball, composed by two elastic solid materials and in uniformtemperature, was investigated. The nonlinear mathematical model of the problem was established by using finite logarithmic strain measure for geometric large deformation and by employing Hooke law for elastic solid. Analytic solutions in the form of parameter were derived for thermal dilatation of the composite ball with large elastic deformation. Solution curves were given to describe variations of the critical temperature in cavitation with the geometric and material parameters. Bifurcation curve was also given to reveal cavity growth after void nucleation. The numeric results for a computational example indicated that radius of cavity would rapidly enlarge over critical temperature, and the loop stress would become infinite with void nucleation. This means the materials near the cavity would produce plastic deformation which leads to local failure and fracture if the material of internal ball is elastoplastic. In addition, the cavitation for the composite ball could appear in a low temperature if elastic property for the material of internal ball is close to be uncompressible.
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