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HW1 - EN222 Mechanics of Solids Homework 1 Asymptotic...

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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 2 β as shown in the figure. Assume an anti-plane displacement field . Follow the procedure discussed in class to calculate 1 3 (, ) () , 0 ur r f u u α θθ + == 1 2 = and ( ) f θ in terms of the angle . Give only solutions with bounded strain energy and with
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