NDLI: Analysis of cavitation problem of heated elastic composite ball

Content Provider	Springer Nature Link
Author	Zhang, Rui Ren, Hui lan Shang, Xin chun
Copyright Year	2011
Abstract	The cavitation problem of a composite ball under a uniform temperature is investigated, and the ball is composed of two elastic solid materials. The nonlinear mathematical model of the problem is established with the finite logarithmic strain measure for a large geometric deformation and by the Hooke law for elastic materials. The analytic solutions in a parametric form are derived for the thermal dilatation of the composite ball with a large elastic deformation. Solution curves are given to describe the variations of the critical temperature in the cavitation with the geometric and material parameters. The bifurcation curve is also given to reveal the cavity growth after void nucleation. The numerical results for a computational example indicate that the radius of the cavity will rapidly grow above the critical temperature, and the loop stress will become infinite when void nucleation. This means that the materials near the cavity will produce a plastic deformation leading to local failure and fracture if the material of the internal ball is elastoplastic. In addition, the cavitation of the composite ball appears at a low temperature if the elastic property of the material of the internal ball is nearly uncompressible.
Ending Page	594
Page Count	8
Starting Page	587
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	5
Volume Number	32
Language	English
Publisher	Shanghai University Press
Publisher Date	2011-05-05
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	thermal dilatation nonlinear large deformation Mechanics Applications of Mathematics Mathematical Modeling and Industrial Mathematics composite ball Nonlinear elasticity cavitation
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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