Abstract

Nonlinear properties of composite materials are essential for their engineering application. In this work, a three-phase micromechanics bridging model is employed to evaluate the nonlinear behavior of a composite from properties of fiber, matrix and interphase. It is assumed that the matrix elastoplasticity and the interface damage are two major sources of the nonlinearity. The former is described by the J2 flow rule. The latter is approximated by an interphase with stiffness degradation. For an interphase, an equivalent damage stress is introduced to account for the effect of normal and shear stress on the interface damage growth. Further, an explicit empirical equation is developed to relate the equivalent damage stress and the stiffness degradation of an interphase. The present elasto-plastic damage model is validated by comparing with experimental data of a series of composites under off-axis tensile loads.

Highlights

  • Nonlinear properties of composite materials are essential for their engineering application

  • Most engineering applications are limited to elastic range, since nonlinear analysis is relatively complex in theory and high cost in computation2

  • Analytical micromechanics ones are more attractive owing to their high computational efficiency and lower experimental cost

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Summary

Introduction

Nonlinear properties of composite materials are essential for their engineering application. Ju et al.’s27 work didn’t consider the effect of shear stress on interface damage and is not applicable for a composite with an interphase. An analytical three-phase bridging model28 is employed to predict mechanical properties of a composite from properties of fiber, matrix, and interphase. Based on the bridging model, the effective compliance matrix of a unidirectional composite is given by Eq [1].

Results
Conclusion

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