Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 808-816.

• 论文 • 上一篇    下一篇

ELASTIC WAVE SCATTERING AND DYNAMIC STRESS IN COMPOSITE WITH FIBER

胡超, 李凤明, 黄文虎   

  1. Department of Aerospace Engineering & Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China
  • 收稿日期:2001-12-10 修回日期:2002-12-18 出版日期:2003-07-18 发布日期:2003-07-18
  • 通讯作者: WANG Bao
  • 基金资助:
    the National Natural Science Foundation of China (19972018)

ELASTIC WAVE SCATTERING AND DYNAMIC STRESS IN COMPOSITE WITH FIBER

HU Chao, LI Feng-ming, HUANG Wen-hu   

  1. Department of Aerospace Engineering & Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China
  • Received:2001-12-10 Revised:2002-12-18 Online:2003-07-18 Published:2003-07-18
  • Supported by:
    the National Natural Science Foundation of China (19972018)

摘要: Based on the theory of elastic dynamics, multiple scattering of elastic waves and dynamic stress concentrations in fiber-reinforced composite were studied. The analytical expressions of elastic waves in different region were presented and an analytic method to solve this problem was established. The mode coefficients of elastic waves were determined in accordance with the continuous conditions of displacement and stress on the boundary of the multi-interfaces. By making use of the addition theorem of Hankel functions, the formulations of scattered wave fields in different local coordinates were transformed into those in one local coordinate to determine the unknown coefficients and dynamic stress concentration factors. The influence of distance between two inclusions, material properties and structural size on the dynamic stress concentration factors near the interfaces was analyzed. It indicates in the analysis that distance between two inclusions, material properties and structural size has great influence on the dynamic properties of fiber-reinforced composite near the interfaces. As examples, the numerical results of dynamic stress concentration factors near the interfaces in a fiber-reinforced composite are presented and discussed.

Abstract: Based on the theory of elastic dynamics, multiple scattering of elastic waves and dynamic stress concentrations in fiber-reinforced composite were studied. The analytical expressions of elastic waves in different region were presented and an analytic method to solve this problem was established. The mode coefficients of elastic waves were determined in accordance with the continuous conditions of displacement and stress on the boundary of the multi-interfaces. By making use of the addition theorem of Hankel functions, the formulations of scattered wave fields in different local coordinates were transformed into those in one local coordinate to determine the unknown coefficients and dynamic stress concentration factors. The influence of distance between two inclusions, material properties and structural size on the dynamic stress concentration factors near the interfaces was analyzed. It indicates in the analysis that distance between two inclusions, material properties and structural size has great influence on the dynamic properties of fiber-reinforced composite near the interfaces. As examples, the numerical results of dynamic stress concentration factors near the interfaces in a fiber-reinforced composite are presented and discussed.

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