TORSIONAL IMPACT RESPONSE OF A PENNY-SHAPED CRACK IN A FUNCTIONAL GRADED STRIP  

作　　者：冯文杰 李向国 王守东 

机构地区：[1]Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China [2]Department of Resource and Information, University of Petroleum, Beijing 102200, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第12期1398-1404,共7页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 9772 0 2 9) ;theResearchFoundforDoctorofHebeiProvince ;P .R .China (B2 0 0 1 2 1 3 )

摘　　要：The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transforms were used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Explicit expressions of both the dynamic stress intensity factor and the energy density factor were derived.And it is shown that, as crack driving force, they are equivalent for the present crack problem. Investigated are the effects of material nonhomogeneity and (strip's) highness on the dynamic fracture behavior. Numerical results reveal that the peak of the dynamic stress intensity factor can be suppressed by increasing the nonhomogeneity parameter of the shear modulus, and that the dynamic behavior varies little with the adjusting of the strip's highness.The torsional impact response of a penny-shaped crack in a nonhomogeneous strip is considered. The shear modulus is assumed to be functionally graded such that the mathematics is tractable. Laplace and Hankel transforms were used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Explicit expressions of both the dynamic stress intensity factor and the energy density factor were derived.And it is shown that, as crack driving force, they are equivalent for the present crack problem. Investigated are the effects of material nonhomogeneity and (strip's) highness on the dynamic fracture behavior. Numerical results reveal that the peak of the dynamic stress intensity factor can be suppressed by increasing the nonhomogeneity parameter of the shear modulus, and that the dynamic behavior varies little with the adjusting of the strip's highness.

关 键 词：dynamic stress intensity factor torsional impact penny-shaped crack functionally graded strip integral transform energy density factor 

分 类 号：O346.1[理学—固体力学]