STATE-BASED PERIDYNAMICS MODELING APPROACH FOR COMPUTING CRACK-TIP ELASTIC STRESS FIELDS
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Crack-tip stress evaluation requires special treatments in the frame of classical elasticity theory for characterizing fatigue crack growth behavior. In previous studies, modified finite element methods have been used to remedy infinite stresses predicted by the classical elasticity theory at the tip of a crack. Peridynamics, as a recently developed non-local theory, has proved to be a powerful mathematical modeling approach to overcome the limitations of continuum mechanics e.g. analyzing discontinuous problems such as cracks without utilizing special treatments/functions or additional crack behavior criteria. In this study, a state-based peridynamics modeling approach is developed to model and simulate displacement and stress fields around a hole and crack shape geometry in a steel plate structure. The peridynamics model is first used to simulate displacement and stress fields for a central hole in a plate under the uniform tension. Furthermore, it is also shown that the peridynamics approach provides high accuracies in modeling displacement and stress fields for sharp elliptical-shaped crack geometry.
Part of the Proceedings of the Canadian Society for Mechanical Engineering International Congress 2022.
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http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85
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en