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Analysis of mode I delamination of z-pinned composites using a non-dimensional analytical model
Authors:MC Song  BV Sankar  G Subhash  CF Yen
Affiliation:1. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32611, USA;2. United States Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA;1. Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Beijing Institute of Technology, Beijing 100081, China;2. School of Aerospace and Aviation, Nanchang Institute of Technology, China;3. The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an 710072, China;4. State Key Laboratory of Disaster Prevention & Mitigation of Explosion & Impact, Army Engineering University of PLA, Nanjing 210001, China;5. Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Beijing Institute of Technology, Beijing 100081, China;2. Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China;3. The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi’an 710072, China;4. Institute of Process Equipment, Zhejiang University, Hangzhou 310027, China
Abstract:We present a non-dimensional analytical model for crack propagation in a z-pinned double cantilever beam specimen (DCB) under mode I loading. Effect of various design parameters on the crack bridging length and apparent fracture toughness are investigated using this model. The efficacy of the analytical model is evaluated by comparing the results with 3D finite element (FE) simulations of the DCB. In the FE model the z-pins are modeled as discrete nonlinear elements. Bi-linear cohesive elements are used ahead of the crack tip to account for the interlaminar fracture toughness of the composite material. The results for load–deflection and crack length obtained from the analytical model and the FE model are compared and found to be in good agreement. The proposed non-dimensional analytical model will be useful in the design and analysis of translaminar reinforcements for composite structures.
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