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

摘要

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.
- 界面裂纹 /
- 内界面 /
- 非局部理论
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 [u_t] and σ_t.
- interface /
- interfacial crack /
- nonlocal theory