Effective stiffness and microscopic deformation of an orthotropic plate containing arbitrary holes |
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Authors: | Qing-Sheng Yang Wilfried Becker |
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Affiliation: | a Department of Engineering Mechanics, Beijing University of Technology, Chaoyang, Pingleyuan, Beijing 100022, China b Institute of Mechanics and Control Engineering, University of Siegen, Paul-Bonatz-Str-9-11, D-57068 Siegen, Germany |
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Abstract: | Many engineering materials and structures, such as cellular structures, sandwich core structures and laminated plates with holes, can be modeled by an inclusion problem with anisotropic matrix. The paper studies the effective properties and the microscopic deformation of anisotropic plates with periodic holes by using direct and mathematical homogenization. The effective stiffnesses are calculated by different homogenization methods and the microscopic deformation of a RVE is modeled by the finite element method for the plate with arbitrarily shaped holes. All of the effective stiffness coefficients, especially stretching-shear coupling coefficients are evaluated. |
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Keywords: | Anisotropic matrix Inclusions Effective properties Microscopic deformation Homogenization |
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