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首页> 外文会议>AMD-vol.256; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) >A METHOD TO EXTRACT INTERFACE STRESS INTENSITY FACTORS USING INTERLAYERS
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A METHOD TO EXTRACT INTERFACE STRESS INTENSITY FACTORS USING INTERLAYERS

机译：一种基于夹层的界面应力强度因子提取方法

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摘要

A method is presented here to extract stress intensity factors for interface cracks in plane bimaterial fracture problems. The method relies on considering a companion problem wherein a very thin elastic interlayer is artificially inserted between the two material regions of the original bimaterial problem. The crack in the companion problem is located in the middle of the interlayer with its tip located within the homogeneous interlayer material. When the thickness of the interlayer is small compared with the other length scales of the problem, a universal relation can be established between the actual interface stress intensity factors at the crack tip for the original problem and the mode Ⅰ and Ⅱ stress intensity factors associated with the companion problem. The universal relation is determined by formulating and solving a boundary value problem. This universal relation now allows the determination of the stress intensity factors for a generic plane interface crack problem as follows. For a given interface crack problem, the companion problem is formulated and solved using the finite element method. Mode Ⅰ and Ⅱ stress intensity factors are obtained using the modified virtual crack closure method. The universal relation is next used to obtain the corresponding interface stress intensity factors for the original interface crack problem. An example problem involving a finite interface crack between two semi-infinite blocks is considered for which analytical solutions exist. It is shown that the method described above provides very acceptable results.
机译：这里提出了一种方法来提取平面双材料断裂问题中界面裂纹的应力强度因子。该方法依赖于考虑伴随问题，其中非常薄的弹性夹层被人为地插入原始双材料问题的两个材料区域之间。伴随问题中的裂纹位于中间层的中间，其尖端位于均匀的中间层材料内。当中间层的厚度与问题的其他长度尺度相比较小时，可以针对原始问题在裂纹尖端处的实际界面应力强度因子与与该问题相关的模式Ⅰ和Ⅱ应力强度因子之间建立通用关系伴随问题。通用关系是通过制定和解决边值问题来确定的。现在，这种通用关系使得可以如下确定一般平面界面裂纹问题的应力强度因子。对于给定的界面裂纹问题，使用有限元方法制定并解决了伴随问题。利用改进的虚拟裂纹闭合方法获得了Ⅰ，Ⅱ型应力强度因子。接下来，使用通用关系为原始界面裂纹问题获得相应的界面应力强度因子。考虑存在两个解析解的示例问题，该问题涉及两个半无限块之间的有限界面裂纹。结果表明，上述方法提供了非常令人满意的结果。

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