Yc. Gao et Ts. Gao, NOTCH-TIP FIELDS IN RUBBER-LIKE MATERIALS UNDER TENSION AND SHEAR MIXED LOAD, International journal of fracture, 78(3-4), 1996, pp. 283-298
This paper introduces a new method to solve the singular stress strain
field near a notch-tip in rubber-like materials. The constitutive rel
ation used herein is valid even when the strain tends to infinity. The
singular field is divided into shrinking sectors and expanding sector
s for which the asymptotic equations are derived separately. The solut
ion to the expanding sector is obtained analytically while that for th
e shrinking sectors are solved numerically. The singular behavior of t
he notch tip field is revealed clearly.