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黏弹性体界面裂纹的冲击响应
引用本文:魏培君,吴永礼,张双寅.黏弹性体界面裂纹的冲击响应[J].力学学报,2001,33(1):109-114.
作者姓名:魏培君  吴永礼  张双寅
作者单位:中国科学院力学研究所,
基金项目:国家自然科学基金!(19772064),中国科学院科学基金!(951-1-201)资助项目.&&
摘    要:研究两半无限大黏弹性体界面Griffith裂纹在反平面剪切突出载荷下,裂纹尖端动应力强度因子的时间响应,首先,运用积分变换方法将黏弹性混合黑社会问题化成变换域上的对偶积分方程,通过引入裂纹位错密度函数进一步化成Cauchy型奇异积分方程,运用分片连续函数法数值求解奇异积分方程,得到变换域内的动应力强度因子,再用Laplace积分变换数值反演方法,将变换域的解反演到时间域内,最终求得动应力强度因子的时间响应,并对黏弹性参数的影响进行分析。

关 键 词:黏弹性  界面裂纹  应力强度因子  积分逆变换  奇异积分方程  冲击响应  弹性材料
修稿时间:1998年11月23

THE SHOCK RESPONSE OF INTERMCE CRACK BETWEEN DISSIMILAR VISCOELASTIC BODIES
Wei Peijun,Wu Yongli,Zhang Shuangyin.THE SHOCK RESPONSE OF INTERMCE CRACK BETWEEN DISSIMILAR VISCOELASTIC BODIES[J].chinese journal of theoretical and applied mechanics,2001,33(1):109-114.
Authors:Wei Peijun  Wu Yongli  Zhang Shuangyin
Abstract:In this paper, the dynamic stress intensity factor(DSIF) at crack-tip of Griffith inter- face crack along two dissimilar half-infinite isotropic viscoelastic bodies under anti-plane sudden load is considered. First, integral transformation method is used to transform the convolution motion equation of viscoelastic materials into algebraic version in transformation domain. The viscoelastic mixed boundary problem in transformation domain is reduced to dual integral equations of crack open displacement (COD) which is furthermore changed into Cauchy-typed singular integral equation by the introduction of crack dislocation density function. Next, the numerical method based on piecewise continuous function given by Kurtz is used to solve the singular inte- gral equation. After the numerical results of crack dislocation density function airs obtained, the numerical results of dynamic stress intensity factor can be computed from them. At last, the numerical inverse integral transformation method-DAC method is used to reconvert the numerical results of dynamic stress intensity factor in transformation domain to that in time domain. In order to show the effects of viscoelastic material parameter, the dynamic stress intersity factors of Griffith crack in the interface of two elastic materials, two viscoelastic materials and elastic and viscoelastic materials and for various viscoelastic material parameter as well are evaluated in the numerical example. The characteristics of response curve of DSIF are discussed and the affection of viscoelastic material parameter to it is analyzed based on numerical results.
Keywords:viscoelastic  interface  crack  dynamic stress intensity factor  integral  transformation  inverse integral  transformation  singular integral equation
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