Deformation fields due to sheared semicircular edge notch in a non-homogeneous elastic material

Abstract

A non-homogeneous semi-infinite elastic material containing a semicircular edge notch of radius a, is studied for determination of deformation fields and maximum anti-plane shear concentration. The mode of loading on variable intervals [a_i,b_i,], i =1,2, leads to expression for the maximal stress, ^σ_&thetaχ(a, 0) as a product of two terms; the first is analogous to a known anti-plane stress concentration term for a circular hole in an infinite body while the other term is a measure of the contribution of material constants and changes at load site to the high stress concentration. The special case of our result for ^σ>_&thetaχ (r, 0) when the notch is absent (a = 0) is in agreement with known results. The variations ^σ>_&thetaχ(a, 0) with ab;(orba) are displayed on graphs


Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 47-56