Question
The compliance matrix (in reduced notation) for cubic crystals is given by: $11 $12 $12 0 0 0 $12 $11 $12 0 0 0
The compliance matrix (in reduced notation) for cubic crystals is given by: $11 $12 $12 0 0 0 $12 $11 $12 0 0 0 $12 $12 $11 0 0 0 0 0 0 $44 0 0 0 0 0 0 S44 0 0 0 0 00 $44. The symmetry results in the various zeros and identical values along various directions. The values for Si (a cubic crystal) are: s11=7.7 10 GPa, s12=-2.1 10GPa, s44=12.6 10-GPa. Calculate the strain tensor on a Si sample subjected to the following stress (also given in reduced notation). Give your answer both in reduced and full notations. a) =10 MPa all other components zero. b) 02 10 MPa all other components zero. c) 04 5 MPa all other components zero. d) 5 10 MPa all other components zero.
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Shigleys Mechanical Engineering Design
Authors: Richard G. Budynas, J. Keith Nisbett
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