带半无限长界面裂纹的内界面模型
A NEW INTERFACE MODEL WITH A SEMI- INFINITE INTERFACIAL CRACK
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摘要: 本文分析了现有内界面模型[1,3,4]在裂纹尖端邻域失效的原因,建议了一个内界面两侧位移差[u]与界面应力σ的非局部关系式(见公式(6)).特别地,对裂尖处应力具有(1/2)阶奇性的情形,以法向分量为例,导出了简单的关系式(参见§3中的公式(10)):其中d1为某非局部特征长度,K1为内界面常数,x为从裂尖标起的内界面线坐标.对切向分量也有类似结果,新模型保留了原有模型简洁的形式,且在远离裂尖处退化为原有模型.Abstract: The present note proposes a new nonlocal model of interface with semi-inffinite nterfacial crack,which relates the displacement jump to the traction(sce the formula(6)).Specially,for the case where the power of the stress singuiarity is equal to(1/2),we drive a simple relationship(see the formula(10)). in which this a typical nonlocal length,and K1 the interface constant. A similar ratationship can also btabtained between [ut] and σt.
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Key words:
- interface /
- interfacial crack /
- nonlocal theory
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