Stability of void growth in an incompressible solid under uniaxial tension and shear

✍ Scribed by S.N. Bandyopadhyay; Nirbhay Singh

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 569 KB
• Volume: 11
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(79)90124-3

✦ Synopsis

Mmraet--Stability of a growing single prolate spheroidal cavity in linear elastic incompressible solid is considered. It is shown from the classical theory of elasticity that a single void becomes unstable in pure shear loading. Considering finite incremental deformation of the matrix in the presence of a void, it is proved that a prnlate spheroidal cavity can become unstable under the application of an uniaxial initial tensile stress. The applied tensile stress produces only a pure torque on the void for such unstable (internal shear buckling) mode of deformation. For an incompressible solid, the condition of instability in shear loading depends entirely on the shape of the spheroid (i.e. the ratio of major axis to minor axis). On the contrary, in uniaxial tension, there exists a single shear property of the material which decides the instability for a given void size. Plane strain longitudinal (and radial growths of the void are also studied considering finite simple shear and finite pure shear deformations. These theoretical analyses are in excellent agreement with the experimental observations of other people.