A circular disk of radius R and thickness tR is subjected to radial tractions sigma _(0) along its circumference as shown in figure. Assume that the material is isotropic (Young's modulus E and Poisson's ratio u ) and state of stress in the disk is homogeneous. (6 marks) (i) Express the stress tensor for the state of stress in the plate in th

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A circular disk of radius R and thickness tR is subjected to radial tractions  sigma _(0) along its circumference as shown in figure. Assume that the material is isotropic (Young's modulus E and Poisson's ratio  u  ) and state of stress in the disk is homogeneous. (6 marks) (i) Express the stress tensor for the state of stress in the plate in the coordinate system shown. (ii) Use generalized Hooke's law to calculate the strain tensor. (iii) Determine the change in radius and thickness of the plate.

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