本文採用狀態空間法解析非均質無窮板開洞之應力集中問題。在圓柱座標下，建立非均質無窮板開洞之狀態空間方程式。考慮彈性係數沿徑向為非均質情況下，以有系統的矩陣運算與推導，求得問題之解析解。對特殊非均質型式則採用傳遞矩陣方法，作數值解析。分析結果顯示：
1.彈性係數之漸弱趨勢越大，應力集中現象越顯著，且應力極值均產生於開孔周圍距其內徑五倍範圍內。
2.彈性係數變化趨勢越大，傳遞矩陣位移部份誤差亦較大。

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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