正交异性双材料的Ⅱ型界面裂纹尖端场

张雪霞; 崔小朝; 杨维阳; 李俊林

doi:10.3879/j.issn.1000-0887.2009.12.002

正交异性双材料的Ⅱ型界面裂纹尖端场

doi: 10.3879/j.issn.1000-0887.2009.12.002

太原科技大学应用科学学院,太原 030024

基金项目: 国家教育部科学技术研究重点资助项目(208022);山西省自然科学基金资助项目(2007011008)

详细信息

作者简介:
张雪霞(1974- ),女,山西曲沃人,副教授,博士生(联系人.Tel:+86-351-6998202;E-mail:zwbhappy@yahoo.com.cn);杨维阳(1937- ),男,陕西临潼人,教授,博士生导师(Tel:+86-351-6999190;E-mail:yangweiyang@sohu.com).

中图分类号: O346.3;O174.5
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出版历程
- 收稿日期: 2009-05-18
- 修回日期: 2009-10-18
- 刊出日期: 2009-12-15

Crack-Tip Field on Mode Ⅱ Interface Crack of Double Dissimilar Orthotropic Composite Materials

School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China

摘要

摘要: 通过引入含16个待定实系数和两个实应力奇异指数的应力函数，再借助边界条件，得到了两个八元非齐次线性方程组．求解该方程组，在双材料工程参数满足适当条件下，确定了两个实应力奇异指数．根据极限唯一性定理，求出了全部系数，得到了应力函数的表示式．代入相应的力学公式，推出了当特征方程组两个判别式都小于0时，每种材料的裂纹尖端应力强度因子、应力场和位移场的理论解．裂纹尖端附近的应力和位移有混合型断裂特征，但没有振荡奇异性和裂纹面相互嵌入现象．作为特例，当两种正交异性材料相同时，可以推出正交异性单材料Ⅱ型断裂的应力奇异指数、应力强度因子公式、应力场、位移场表示式．
- Ⅱ型界面裂纹 /
- 应力强度因子 /
- 双材料 /
- 正交异性
Abstract: Two systems of non-homogeneous linear equations in 8 unknowns were obtained by introducing two stress functions containing 16 undetermined coefficients and two real stress singularity exponents with the help of boundary conditions.By solving the above systems of non-homogeneous linear equations,the two real stress singularity exponents can be determined when the double material engineering parameters meet certain conditions.The expression of the stress function and all the coefficients were got by the unique theorem of limit.By substituting them into corresponding mechanics equations,theoretical solutions to the stress intensity factor,the stress field and the displacement field near the crack tip of each material can be obtained when the discriminants of the characteristic equations are less than zero'stress and displacement near crack tip show mixed crack characteristics but no stress oscillation or crack surfaces overlap.As an example,when the two orthotropic materials are the same,the stress singularity exponent,the stress intensity factor,the stress field and the expression for the displacement field of the orthotropic single material can be deduced.
- mode Ⅱ interface crack /
- stress intensity factors /
- double materials /
- orthotropic

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参考文献(16)

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正交异性双材料的Ⅱ型界面裂纹尖端场

doi: 10.3879/j.issn.1000-0887.2009.12.002

作者简介:
张雪霞(1974- ),女,山西曲沃人,副教授,博士生(联系人.Tel:+86-351-6998202;E-mail:zwbhappy@yahoo.com.cn);杨维阳(1937- ),男,陕西临潼人,教授,博士生导师(Tel:+86-351-6999190;E-mail:yangweiyang@sohu.com).

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Crack-Tip Field on Mode Ⅱ Interface Crack of Double Dissimilar Orthotropic Composite Materials

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留言板

正交异性双材料的Ⅱ型界面裂纹尖端场

doi: 10.3879/j.issn.1000-0887.2009.12.002

作者简介: 张雪霞(1974- ),女,山西曲沃人,副教授,博士生(联系人.Tel:+86-351-6998202;E-mail:zwbhappy@yahoo.com.cn);杨维阳(1937- ),男,陕西临潼人,教授,博士生导师(Tel:+86-351-6999190;E-mail:yangweiyang@sohu.com).

计量

出版历程

Crack-Tip Field on Mode Ⅱ Interface Crack of Double Dissimilar Orthotropic Composite Materials

计量

出版历程

目录

作者简介:
张雪霞(1974- ),女,山西曲沃人,副教授,博士生(联系人.Tel:+86-351-6998202;E-mail:zwbhappy@yahoo.com.cn);杨维阳(1937- ),男,陕西临潼人,教授,博士生导师(Tel:+86-351-6999190;E-mail:yangweiyang@sohu.com).