ISSN:
1573-2754
Keywords:
compressible hyper-elastic material
;
cavitated bifurcation
;
catastrophe and concentration of stress
;
energy comparison
;
O343
;
74B20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract The cavitated bifurcation problem in a solid sphere composed of two compressible hyper-elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions subsequent to cavitation were discussed. The phenomena of the right and the left bifurcations as well as the catastrophe and concentration of stresses are observed. The stability of solutions is discussed through the energy comparison.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02437633
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