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An Investigation of Interlaminar Response for Laminated Composites using a Nonlinear Hybrid Stress Element

In: Computational Mechanics

Author

Listed:
  • Canhui Zhang

    (Xiamen University, Department of Civil Engineering)

  • Dongdong Wang

    (Xiamen University, Department of Civil Engineering)

  • Jianlin Zhang

    (Xiamen University, Department of Civil Engineering)

Abstract

Significant magnitudes of interlaminar normal and shear stresses have been observed near the free edges of composite plates and this free-edge phenomenon has become a benchmark index commonly used to study the composite delamination [1]. It is also noticed that composite materials often exhibit nonlinear behavior to an extent and thus satisfying results related to the free-edge effects can not always be obtained with a linear model. Consequently it is often necessary to take the nonlinearity into consideration in the analysis of laminated composites. A suitable candidate to describe this nonlinear behavior is the Hahn-Tsai model in which the shear stress-strain response is nonlinear but the longitudinal and transverse stress-strain responses are linear. Based on this constitutive relationship various techniques have been developed through the years to predict the stress field. Among them the finite element methods usually are the most popular choice and along this line numerous attempts have also been made to analyze the laminated composites using different hybrid elements [2–3]. In this study, a nonlinear hybrid stress element is presented to investigate the interlaminar free-edge response of the laminated composites with consideration of the material nonlinearity by Hahn-Tsai model. Two different cross-ply laminates, [04/904]s and [904/04]s, and an angle-ply laminate [+454/-454]s are studied under the tension and thermal loading conditions. In order to investigate the effects induced by the material nonlinearity, all six components of the stress tensor near the free-edge and along the interface between two layers with different fiber orientation are examined. It is shown that the material nonlinearity for shear stress-strain response leads to significant reduaction of relevant stresses. On the other hand, the behavior of longitudinal stress is not severely affected with the increase of the interlaminar normal stress and the transverse stress.

Suggested Citation

  • Canhui Zhang & Dongdong Wang & Jianlin Zhang, 2007. "An Investigation of Interlaminar Response for Laminated Composites using a Nonlinear Hybrid Stress Element," Springer Books, in: Computational Mechanics, pages 385-385, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_185
    DOI: 10.1007/978-3-540-75999-7_185
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