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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 869-879.

• 论文 • 上一篇    下一篇

DIFFERENTIAL GEOMETRICAL METHOD IN ELASTIC COMPOSITE WITH IMPERFECT INTERFACES

童金章, 关凌云, 张清杰   

  1. Department of Engineering Mechanics, Wuhan University of Technology, Wuhan 430070, P. R. China
  • 收稿日期:1997-07-11 修回日期:1998-05-15 出版日期:1998-09-18 发布日期:1998-09-18

DIFFERENTIAL GEOMETRICAL METHOD IN ELASTIC COMPOSITE WITH IMPERFECT INTERFACES

Tong Jinzhang, Guan Lingyun, Zhang Qingiie   

  1. Department of Engineering Mechanics, Wuhan University of Technology, Wuhan 430070, P. R. China
  • Received:1997-07-11 Revised:1998-05-15 Online:1998-09-18 Published:1998-09-18

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摘要： A differential geometrical method is for the first time used to calculate the effective nmoduli of a two-phase elastic composite materials with imperfect interface which the inclusions are assumed to be ellipsoidal of revolutions. All of the interface integral items participuting in forming the potential and coplementary energyfunctionals of the composite materials are expressed in terms of intrinsic quantities of the ellipsoidal of revolutions. Based on this, the upper and the lower bound for theeffective elastic moduli of the composite materials with inclusions descrbed above have been derived. Under three limiting conditions of sphere, disk and needle shapedinclusions, the results of this paper will return to the bounds obtained by Hashin[6](1992).

Abstract: A differential geometrical method is for the first time used to calculate the effective nmoduli of a two-phase elastic composite materials with imperfect interface which the inclusions are assumed to be ellipsoidal of revolutions. All of the interface integral items participuting in forming the potential and coplementary energyfunctionals of the composite materials are expressed in terms of intrinsic quantities of the ellipsoidal of revolutions. Based on this, the upper and the lower bound for theeffective elastic moduli of the composite materials with inclusions descrbed above have been derived. Under three limiting conditions of sphere, disk and needle shapedinclusions, the results of this paper will return to the bounds obtained by Hashin[6](1992).

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