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


J N Nnadi

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 [ai,bi,], 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

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eISSN: 1116-4336