Growth of voids in a hyperelastic rectangular plate

Abstract

The analyses of finite deformation and stress for a hyperelastic rectangular plate with some voids under an tmiaxi~l extension were conducted. The governing differential equations were given from the incompressibility condition of the material. The solution was approximately obtained from the minimum potential energy principle. The growth of voids was discussed. One can see that an central circular-cylinder void becomes an elliptic-cylinder void, but an ~ non-centeral circular-cylinder void becomes an ellitfdc-like cylinder void and the center of void has a shift. The stress distributions along the edges of voids were given and the phenomenon of stress concemrafion was observed. The influences of the distribution manner and size of voids, as well as the distance between them on the growth of voids were analyze.

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