Abstract
In the present paper, a rubber wedge compressed by a line load at its tip is asymptotically analyzed using a special constitutive law proposed by Knowles and Sternberg (K–S elastic law) [J. Elasticity 3 (1973) 67]. The method of dividing sectors proposed by Gao [Theoret. Appl. Fract. Mech. 14 (1990) 219] is used. Domain near the wedge tip can be divided into one expanding sector and two narrowing sectors. Asymptotic equations of the strain–stress field near the wedge tip are derived and solved numerically. The deformation pattern near a wedge tip is completely revealed. A special case, i.e. a half space compressed by a line load is solved while the wedge angle is π.
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