Mean field estimates of the response of fiber composites with nonlinear interface

被引:4
|
作者
Dong, ZF [1 ]
Levy, AJ [1 ]
机构
[1] Syracuse Univ, Dept Aerosp & Mfg Engn, Syracuse, NY 13244 USA
关键词
D O I
10.1016/S0167-6636(00)00044-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a theory of the effective response of composites containing general, nonlinearly separating inclusion-matrix interfaces. The direct method of composite materials theory is utilized to pass from local nonlinear behavior of a solitary inclusion problem to nonlinear aggregate response. Interaction effects at finite volume concentration are captured in the representative solitary problem by employing the Mori-Tanaka mean field estimate. The resulting model falls within the conceptual framework of continuum damage mechanics in that nonlinear effective response depends on internal variables that are governed by local evolution equations. The damage variables turn out to be the expansion coefficients arising in an eigenfunction representation of the displacement jump at a representative inclusion-matrix interface. Interfaces are generally modeled according to a nonlinear force-separation law that allows for both normal and shear decohesion (X-.P. Xu, A. Needleman, Modell. Simul. Mater. Sci. Eng. 1 (1993) ill). Detailed calculations of effective stress-strain response are carried out for the case of transverse shear and plane dilatation of unidirectional fiber composites at various values of concentration and interface constitutive constants. The effects of the various parameters on bifurcation of equilibrium separation in the solitary inclusion problem and on overall composite stability are demonstrated as well. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:739 / 767
页数:29
相关论文
共 50 条
  • [21] Long Time Estimates in the Mean Field Limit
    E. Caglioti
    F. Rousset
    Archive for Rational Mechanics and Analysis, 2008, 190 : 517 - 547
  • [22] Long Time Estimates in the Mean Field Limit
    Caglioti, E.
    Rousset, F.
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2008, 190 (03) : 517 - 547
  • [23] Nonlinear viscoelastic response of E-glass fiber/epoxy resin composites
    Sun T.
    Yu C.
    Yang W.
    Zhong J.
    Yu, Cungui (yu_cungui@sina.com), 1600, Harbin Institute of Technology (52): : 133 - 138
  • [24] Improved affine estimates for nonlinear viscoelastic composites
    Brenner, R
    Masson, R
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2005, 24 (06) : 1002 - 1015
  • [25] Nonlinear anisotropic electrical response of carbon fiber-reinforced polymer composites
    Haider, Mohammad F.
    Majumdar, Prasun K.
    Angeloni, Stephanie
    Reifsnider, Kenneth L.
    JOURNAL OF COMPOSITE MATERIALS, 2018, 52 (08) : 1017 - 1032
  • [26] MEAN DISPLACEMENT NEAR AN INTERFACE IN A NONLINEAR STRING
    Arredondo, R.
    Mchugh, John P.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 78 (03) : 1470 - 1488
  • [27] Bounds and estimates on the effective properties for nonlinear composites
    Wall P.
    Applications of Mathematics, 2000, 45 (06) : 419 - 437
  • [28] Linear and nonlinear response of inhomogeneous media: exact theory and mean field approximation
    Fu, L
    Resca, L
    PHYSICA A, 1997, 241 (1-2): : 17 - 28
  • [29] Linear and nonlinear response of inhomogeneous media: Exact theory and mean field approximation
    Fu, Liang
    Resca, Lorenzo
    Physica A: Statistical Mechanics and its Applications, 1997, 241 (1-2): : 17 - 28
  • [30] Nonlinear response of permanent dipoles in a mean-field potential to alternating fields
    Coffey, W. T.
    Crothers, D. S. F.
    Kalmykov, Yu. P.
    JOURNAL OF NON-CRYSTALLINE SOLIDS, 2006, 352 (42-49) : 4710 - 4717