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BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT
作者姓名:Wu  Zhangjian  Yu  Shouwen
作者单位:Dept. Engineering Mech.,Tsinghua University,Beijing 100084
基金项目:National Natural Science Foundatjon and China Postdoctoral Scjence Fbundation
摘    要:A detailed fracture mechanics analysis of bridge-toughening in a fiberreinforced composite is presented in this paper.The integral equation governing bridge-toughening as well as crack opening displacement (COD) for the composite withinterfacial layer is derived from the Castigliano's theorem and interface shear-lagmodel.A numerical result of the COD equation is obtained using the iteration solutionof the second Fredholm integral equation.In order to investigate the effect of variousparameters on the toughening,an approximate analytical solution of the equation ispresent and its error analysis is performed,which demonstrates the approximatesolution to be appropriate.A parametric study of the influence of the crack length,interracial shear modules,thickness of the interphase,fiber radius,fiber volumefraction and properties of materials on composite toughening is therefore carried out.The results are useful for experimental demonstration and toughening design includingthe fabrication process of the composite.

收稿时间:16 February 1993

BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT
Wu Zhangjian Yu Shouwen.BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT[J].Acta Mechanica Solida Sinica,1994,7(1):1-14.
Authors:Wu Zhangjian Yu Shouwen
Institution:(1) Dept. Engineering Mech., Tsinghua University, 100084 Beijing
Abstract:A detailed fracture mechanics analysis of bridge-toughening in a fiber reinforced composite is presented in this paper.The integral equation governing bridge- toughening as well as crack opening displacement (COD) for the composite with interfacial layer is derived from the Castigliano's theorem and interface shear-lag model.A numerical result of the COD equation is obtained using the iteration solution of the second Fredholm integral equation.In order to investigate the effect of various parameters on the toughening,an approximate analytical solution of the equation is present and its error analysis is performed,which demonstrates the approximate solution to be appropriate.A parametric study of the influence of the crack length, interracial shear modules,thickness of the interphase,fiber radius,fiber volume fraction and properties of materials on composite toughening is therefore carried out. The results are useful for experimental demonstration and toughening design including the fabrication process of the composite.
Keywords:composite  bridge-toughening  interphase  shear-lag  approximate solution
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