EN222: Mechanics of Solids Homework 1: Asymptotic fields at defects Due Thursday February 9, 2006 Division of Engineering Brown University 1. Consider a linear elastic, isotropic solid with shear modulus µ, which contains a sharp notch with included angle 2βas shown in the figure. Assume an anti-plane displacement field . Follow the procedure discussed in class to calculate 13(, )(),0urrfu uαθθ+==12=and ( )fθin terms of the angle . Give only solutions with bounded strain energy and with
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