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On probabilistic fatigue models for composite materials
Affiliation:1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;3. Nanjing Research Institute on Simulation Technique, Nanjing 210016, China;1. Division of Manufacturing Process and Automation Engineering, Netaji Subhas Institute of Technology, Dwarka, New Delhi 110078, India;2. Mechanical Engineering Department, Madan Mohan Malaviya University of Technology, Gorakhpur 273 010, UP, India;1. Institute of Modern Design and Analysis, College of Mechanical Eng. & Automation Northeastern University, Shenyang 110819, People’s Republic of China;2. School of Economics Liaoning University, Shenyang 110819, People’s Republic of China
Abstract:The general purpose of this article is to review the main ideas in fatigue analysis of composites in the context of the application of probabilistic methods, both theoretical and computational. That is why most deterministic concepts of composite materials fatigue are summarized together with stochastic approaches. The application of the perturbation based Stochastic Finite Element Method (SFEM) to fatigue analysis of homogeneous and heterogeneous media is shown. Further, homogenization method in its effective modules approach is proposed below for application in fatigue processes modeling of linear elastic periodic random composites. Considering stochastic character of the analysis, the reliability tools appropriate to multicomponent materials are presented together with the specially adopted brittle and ductile fracture criteria.
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