An elastic layer with a penny-shaped crack subjected to internal pressure
An elastic layer with a penny-shaped crack subjected to internal pressure
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承受内压的具有便士状裂纹的弹性层
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
M. Sakamoto
中科院分区：
文献类型：
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作者：
M. Sakamoto
本研究探讨弹性层上的轴对称问题，其中间平面上有一个硬币形裂纹。裂纹表面承受均匀的压力。对于情况I，层表面没有应力，而对于情况II，在层表面上规定了光滑夹紧条件。通过假定裂纹面法向位移的级数展开，这两种情况都通过无穷联立方程组得到了解析解和精确解。在硬币形裂纹的应力强度因子的表达式进行评估，在一个简单的形式的一系列，其中涉及系数的联立方程组的解决方案。数值结果得到检查层的厚度和边界条件的层表面上的正应力和位移分布和应力强度因子的影响。
This study examines the axisymmeteric problem on an elastic layer with a penny-shaped crack situated in its middle plane. The crack surfaces are subjected to uniform pressures. The layer surfaces are free from stresses for case I while smooth-clamp conditions are prescribed on the layer surfaces for case II. By assuming series expansions for the normal displacement on the crack surfaces, both cases are reduced to analytical and exact solutions through infinite system of simultaneous equations. An expression for the stress intensity factor at the penny-shaped crack is evaluated in a simple form of a series which involves coefficients of the solutions of the simultaneous equations. Numerical results are obtained to examine the effects of the layer thickness and boundary conditions of the layer surfaces on normal stress and displacement distributions and on the stress intensity factors.