Simulating Initial and Progressive Failure of Open-Hole Composite Laminates under Tension
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Simulating Initial and Progressive Failure of Open-Hole Composite Laminates under Tension Zhangxin Guo 1 & Hao Zhu 1 & Yongcun Li 1 & Xiaoping Han 2 & Zhihua Wang 1
Received: 26 May 2016 / Accepted: 30 May 2016 # Springer Science+Business Media Dordrecht 2016
Abstract A finite element (FE) model is developed for the progressive failure analysis of fiber reinforced polymer laminates. The failure criterion for fiber and matrix failure is implemented in the FE code Abaqus using user-defined material subroutine UMAT. The gradual degradation of the material properties is controlled by the individual fracture energies of fiber and matrix. The failure and damage in composite laminates containing a central hole subjected to uniaxial tension are simulated. The numerical results show that the damage model can be used to accurately predicte the progressive failure behaviour both qualitatively and quantitatively. Keywords Fiber reinforced composite . Damage mechanics . Progressive failure analysis . Numerical simulation . UMAT
1 Introduction The composite materials are widely used in the aviation, space industries and mechanical engineering because of their adjustable mechanical properties. The laminated composite plate is made up of multilayer laminations. Therefore, their failure mechanisms are complex due to their inhomogeneous structure composed of constituents which have significantly different properties and remain distinct in a laminate’s final composition. Many researches on failure models and numerical methods for progressive failure analysis of composites have been conducted and published in literatures during the past decades [1–4].
* Zhangxin Guo [email protected]
1
College of Mechanics, Shanxi Key Lab. of Material Strength & Structural Impact, Taiyuan University of Technology, Taiyuan 030024, China
2
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, China
Appl Compos Mater
Theories for failure prediction are early developed in anisotropic natural materials such as wood. Comprehensive reviews of failure theories and mechanisms in composites are also available [5–9]. Tsai and Wu [10] proposed a quadratic tensor polynomial as a failure criterion. Hashin [11, 12] proposed a three-dimensional failure theory for composite materials, in which the appropriate stress invariants are used to construct separate quadratic functions for matrix and fiber failure modes. The failure theory of Hashin uses both information about the material symmetry and physical considerations that arise from the different characteristics of the failure mechanisms involved. Among the many progressive damage models developed for the progressive failure analysis of composite laminates, CDMbased models have been shown to be the most accurate for predicting the failure strength of composites [13, 14]. Maa and Cheng [13] reported that their modified Principal Damage Model (PDM) provided reasonable accuracy in predicting the load-carrying capacities of notched composites. The damage model proposed b
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