正交异性粘弹性材料Ⅰ型裂纹尖端场研究  

Research on Crack Tip Fields for Mode Ⅰ of Orthotropic Viscoelastic Materials

作　　者：王晓英[1] 张雪霞[1] 李俊林[1] 

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2011年第2期126-131,共6页Journal of Taiyuan University of Science and Technology

基　　金：教育部科学技术研究重点项目(208022)

摘　　要：研究正交异性粘弹性材料在对称载荷作用下,裂纹尖端的应力与位移分布。首先利用La-place积分变换法,将正交异性粘弹性问题转化为拉普拉斯空间的正交异性弹性问题进行求解;其次,在正交异性弹性材料板裂纹尖端解的基础上,利用准静态粘弹性-静态弹性对应原理,得到Laplace域内正交异性粘弹性裂纹尖端的解;最后采用F.Durbin数值方法将其作逆变换,求得正交异性粘弹性材料Ⅰ型裂纹尖端的数值解。通过在力作用开始时的粘弹性解与相同条件下的弹性解进行对比,表明采用F.Durbin数值反演方法可以得到更精确的解。The stress field and displacement terial under the symmetric load. Firstly, the field at the crack tip were studied about the orthotropic viscoelastic maproblem was solved through the transformation from the orthotropic viscoelastic to the orthotropic elastic of the Laplace space by Laplace integral transform method. Secondly, on the basis of the solution about the crack tip of the orthotropic elastic material plate, the solution about the crack tip of the orthotropic viscoelastic material in the Laplace domain was obtained by using quasi-static viscoelasticity-static elastic correspondence principle. Finally, the F. Durbin numerical inversion methods were used to obtain the orthotropic viscoelastic material solution of the crack tip for mode. Through comparing the viscoelastic solution at the beginning of the force with the elastic solution under the same condition ,the more accurate solution could be obtained by the F. Durbin numerical inversion method.

关 键 词：粘弹性 正交异性 裂纹尖端 应力场 

分 类 号：O346.1[理学—固体力学] O174.5[理学—力学]