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113_2009_HW6_sols

113_2009_HW6_sols - UNIVERSITY OF CALIFORNIA College of...

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UNIVERSITY OF CALIFORNIA College of Engineering Department of Materials Science and Engineering Assigned 11/3/09 Due 11/10/09 Fall 2009 MSE 113 Mechanical Behavior of Materials Prof. Ritchie PROBLEM SET 6 SOLUTIONS Problem 1 a) Crack deflection crack deflect by, for example, a weak interface (wood, bone) and lowers the local applied K at the crack tip Transformation toughness a material transformation causes an additional compressive stress in the material, lowering the K at the crack tip. Example: partially stabilized zirconia. Microcrack toughening a microcrack zone ahead of the crack tip causes a compressive stress, lowering the K at the crack tip. Example: bone Crack bridging bridges behind the crack tip cause partial crack closure, which lowers the K at the crack tip. Example: fiber composite with cracks running perpendicular to the fiber orientation. b) Intrinsic vs. extrinsic toughness : Intrinsic toughness is toughness of the material itself,
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