Differential geometrical method in elastic composite with imperfect interfaces

被引：0

作者：

Jinzhang T. ^{[1
]}

Lingyun G. ^{[1
]}

Qingjie Z. ^{[1
]}

机构：

[1] Department of Engineering Mechanics, Wuhan University of Technology

来源：

Applied Mathematics and Mechanics | 1998年 / 19卷 / 9期

关键词：

Composite; Differential geometrical method; Effective modulus; Imperfect interface; Interface integral;

D O I：

10.1007/BF02458242

中图分类号：

学科分类号：

摘要：

A differential geometrical method is for the first time used to calculate the effective moduli 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 participating in forming the potential and complementary energy functionals 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 the effective elastic moduli of the composite materials with inclusions described above have been derived. Under three limiting conditions of sphere, disk and needle shaped inclusions, the results of this paper will return to the bounds obtained by Hashin[6] (1992).

引用

页码：869 / 879

页数：10

共 7 条

[1]

Hashin, Z., Analysis of composite materials - A survey (1983) J. Appl. Mech., 50 (3), pp. 481-505

[2]

Jinzhang, T., Xuejun, W., Differential geometrical structures of a two-phase elastic composite materials (1993) Modern Mathematics and Mechanics (MMM-V), pp. 157-161. , edited by Chen Zhida, China Institute of Mining and Technology Press (in Chinese)

[3]

Achenbach, J.D., Zhu, H., Effect of interphases on micro and macromechanical behavior of hexagonal-array fiber composite (1990) J. Appl. Mech., 57 (4), pp. 956-963

[4]

Benveniste, Y., The effective mechanical behavior of composite materials with imperfect contact between the constituents (1985) Mechanics of Materials, 4, pp. 197-208

[5]

Hashin, Z., The spherical inclusion with imperfect interface (1991) J. Appl. Mech., 58 (2), pp. 444-449

[6]

Hashin, Z., Extremum principles for elastic heterogeneous media with imperfect interface and their application to bounding effective moduli (1992) J. Mech. Phys. Solids, 40 (4), pp. 767-781

[7]

Jinzhang, T., Nan Cewen and Jin Fusheng, Hill decomposition theorem of the fourrank isotropic tensors and its applications (1996) Journal of Wuhan University of Technology, 18 (3), pp. 111-114. , (in Chinese)

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