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The effects of nonperiodic void spacing upon intergranular creep cavitation
Affiliation:1. Centro de Investigación y de Estudios Avanzados (CIVESTAV-Unidad Querétaro), Libramiento Norponiente 2000, Real de Juriquilla, Querétaro, Qro. C.P., 76230, Mexico;2. Instituto Politcnico Nacional, CICATA-IPN, Cerro Blanco 141, Col. Colinas del Cimatario, Querétaro, Qro. C. P., 76090, Mexico;3. Universidad Autónoma de Querétaro, Departamento de Investigación y Posgrado de Alimentos. C.U., Cerro de las Campanas s/n, Col. Las Campanas, Querétaro, Qro. C.P., 76010, Mexico;4. Universidad Michoacana de San Nicolás de Hidalgo, Facultad de Químico Farmacobiología, Tzintzuntzan 173, Col. Matamoros, Morelia, Michoacán, Mexico;1. Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, Zhejiang, PR China;2. Department of Materials and Chemical Engineering, Ningbo University of Technology, Ningbo, 315211, Zhejiang, PR China;3. Guangdong Engineering and Technology Research Center for Surface Chemistry of Energy Materials & Guangzhou Key Laboratory for Surface Chemistry of Energy Materials, New Energy Research Institute, College of Environment and Energy, South China University of Technology, Guangzhou, 510006, PR China;1. State Key Laboratory of Oral Diseases, National Clinical Research Center for Oral Diseases, Dept. of Periodontology, West China Hospital of Stomatology, Sichuan University, China;2. Department of Advanced Oral Sciences and Therapeutics, University of Maryland School of Dentistry, Baltimore, MD, 21201, USA;3. State Key Laboratory of Oral Diseases, National Clinical Research Center for Oral Diseases, Dept. of Cariology and Endodontics, West China Hospital of Stomatology, Sichuan University, China;4. Department of Endodontics, Dental College of Georgia, Augusta University, Augusta, GA, USA;5. VIP Integrated Department, School and Hospital of Stomatology, Jilin University, Changchun, 130011, China;6. Center for Stem Cell Biology & Regenerative Medicine, University of Maryland School of Medicine, Baltimore, MD, 21201, USA;7. Marlene and Stewart Greenebaum Cancer Center, University of Maryland School of Medicine, Baltimore, MD, 21201, USA;1. The State Key Laboratory of Fluid Power Transmission and Control, School of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China;2. Key Laboratory of Advanced Manufacturing Technology of Zhejiang Province, School of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China
Abstract:The effects of nonperiodic void spacing upon creep rupture by intergranular cavitation is investigated. This is done by carrying out a Monte Carlo simulation of a 1-D model consisting of long, cylindrical voids having a uniform random spatial distribution along the grain boundary of a bicrystal. It is found that a progressive sintering and void coalescence process leads to times-to-failure which on the average are an order of magnitude greater than that predicted in the case where the voids are taken to be periodically spaced. Also predicted is a slightly greater dependence on times-to-failure with applied remote stress than that predicted in the equispaced case. Of particular note is the scatter in the predicted times-to-failure at constant remote stress, which is found to be well-described by a Weibull cumulative distribution function.
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