Summary: | 碩士 === 國立成功大學 === 土木工程學系碩博士班 === 100 === On the basis of the state space approach, stress concentration problems around a hole in a radially inhomogeneous plate is analyzed. The state equations of a hole in a radially inhomogeneous plate is established in the cylindrical coordinates. The numerical analysis method is used through systematical calculation and matrix operation when Young's modulus is radially inhomogeneous. For a general radially inhomogeneous material, transfer matrix is used. Numerical results are presented to investigate the stress concentration around the circular notch. The conclusions show:
1.When Young's modulus's variation is getting smaller and this trend is getting bigger, Stress concentration phenomenon is more obvious, the extreme values of stress all occur in a five times inner diameter area around the hole.
2.When Young's modulus's variation is bigger, the error of displacement by transfer matrix is also bigger.
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