Practical application of the weakest-link model to fracture toughness problems |
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| Affiliation: | 1. Engineering Geology and Alterology Laboratory, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon;2. National Civil Engineering Laboratory of Cameroon (LABOGENIE), P.O. Box 1094, Douala, Cameroon;1. Irstea Antony, 1 rue Pierre Gilles de Gennes, 92760 Antony, France;2. Irstea Aix-En-Provence, 3275 Route Cézanne, CS 40061 13182 Aix-en-Provence, France;3. Ecogeos, 5, rue du jeu de Paume, 62000 Arras, France;4. Lthe, Grenoble Alpes University, OSUG B, Domaine universitaire, BP 53, 38041 Grenoble cedex 09, France;5. 3SR, Polytech Grenoble Alpes University, Domaine Universitaire BP 53, 38041 Grenoble 09 Cedex 09, France;1. Federal University of Rio Grande do Norte, Campus Universitário Lagoa Nova, Natal, RN 59078-970, Brazil;2. The University of Texas at Austin, Department of Civil Architectural and Environmental Engineering, 301 E. Dean Keeton, Austin, TX 78712-0280, USA;3. University of São Paulo, Av. Trabalhador São Carlense, 400, 13566-590, São Carlos, SP, Brazil;1. College of Mechanical and Electrical Engineering, Jiaxing University, 118 Jiahang Road, Jiaxing 314001, PR China;2. Department of Nanomechanics, Tohoku University, Aoba 6-6-01, Aramaki, Aoba-ku, Sendai 980-8579, Japan;1. VTT Technical Research Centre of Finland Ltd, Kemistintie 3, 02230 Espoo, Finland;2. Dept. of Civil Engineering, Case Western Reserve University, Cleveland, OH 44106, USA;1. Department of Civil and Environmental Engineering, University of Michigan, 2350 Hayward Street, Ann Arbor, MI 48109, USA;2. Civil, Architectural and Environmental Engineering Department, University of Texas at Austin, 301 E. Dean Keeton St. Stop C1792, Austin, TX 78712, USA;3. Geosyntec Consultants, 2100 Main Street, Suite 150, Huntington Beach, CA 92648, USA |
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| Abstract: | This paper is intended as a first step towards the formalization of procedures for the application of the weakest-link model to fracture toughness problems. Loosely speaking, the weakestlink model states that the fracture toughness is determined by the most brittle region (“weakest link”) along the crack front. In practice, the model will often be applicable in some form if the mode of fracture is cleavage. It predicts that the distribution of fracture toughness is dependent on the length of the crack front. Methods are presented for the calculation of this crack-front-length effect. If there are no systematic fracture toughness variations along the crack front, and if the fracture mechanics parameter is constant along the crack front, it is rather simple to calculate; otherwise the calculations are somewhat more complicated. |
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