An interface crack with partially electrically conductive crack faces under antiplane mechanical and in-plane electric loadings |
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| Affiliation: | 1. Université Clermont Auvergne, CNRS, SIGMA Clermont (ex- French Institute of Advanced Mechanics - IFMA), Institut Pascal, F-63000 Clermont-Ferrand, France;2. Department of Theoretical and Applied Mechanics, Dniepropetrovsk National University, Gagarin Av., 72, Dniepropetrovsk 49010, Ukraine;1. Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine;2. Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland;1. School of Urban Rail Transportation, Soochow University, Suzhou, 215131, PR China;2. Department of Civil Engineering and Engineering Mechanics, Columbia University, USA;3. Department of Civil and Environmental Engineering, University of Delaware, USA;1. Department of Mechanical Engineering, Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka 940-2188, Japan;2. Faculty of Environment and Information Sciences, Yokohama National University, 79-7 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan;1. Grupo de Investigación en Multifísica Aplicada (GIMAP), Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina;2. Grupo de Investigación en Multifísica Aplicada (GIMAP), Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, Consejo Nacional de Investigaciones Científicas y Técnicas, Departamento de Ingeniería, Universidad Nacional del Sur, Argentina |
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| Abstract: | An interface crack in a bimaterial piezoelectric space under the action of antiplane mechanical and in-plane electric loadings is analyzed. One zone of the crack faces is electrically conductive while the other part is electrically permeable. All electro-mechanical values are presented using sectionally-analytic vector-functions and a combined Dirichlet-Riemann boundary value problem is formulated. An exact analytical solution of this problem is obtained. Simple analytical expressions for the shear stress, electric field and also for mechanical displacement jump of the crack faces are derived. These values are also presented graphically along the corresponding parts of the material interface. Singular points of the shear stress, electric field and electric displacement jump are found. Their intensity factors are determined as well. Intensity factors variations with respect to the external electric field and different ratios between the electrically conductive and electrically permeable crack face zones are also demonstrated. |
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| Keywords: | Antiplane problem Electrically conductive interface crack Piezoelectric material |
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