Reference : Vibration of functionally graded material plates with cutouts & cracks in thermal env...
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Computational Sciences
Vibration of functionally graded material plates with cutouts & cracks in thermal environment
Rahimabadi, A. A. [Institute of Mechanics and Advanced Materials, Cardiff School of Engineering, Cardiff University, CF24 3AA, United Kingdom]
Natarajan, S. [School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Key Engineering Materials
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[en] Cracks ; Cutouts ; Extended finite element method ; Reissner-Mindlin plate ; Vibration ; Discontinuity surfaces ; First-order shear deformation theory ; Functionally graded material plates ; Partition of unity methods ; Spatial discretizations ; Crack propagation ; Crack tips ; Functionally graded materials ; Mindlin plates ; Vibrations (mechanical)
[en] In this paper, the effect of a centrally located cutout (circular and elliptical) and cracks emanating from the cutout on the free flexural vibration behaviour of functionally graded material plates in thermal environment is studied. The discontinuity surface is represented independent of the mesh by exploiting the partition of unity method framework. A Heaviside function is used to capture the jump in the displacement across the discontinuity surface and asymptotic branch functions are used to capture the singularity around the crack tip. An enriched shear flexible 4-noded quadrilateral element is used for the spatial discretization. The properties are assumed to vary only in the thickness direction. The effective properties of the functionally graded material are estimated using the Mori-Tanaka homogenization scheme and the plate kinematics is based on the first order shear deformation theory. The influence of the plate geometry, the geometry of the cutout, the crack length, the thermal gradient and the boundary conditions on the free flexural vibration is numerically studied. © (2013) Trans Tech Publications, Switzerland.
EP/G042705/1, EPSRC, Engineering and Physical Sciences Research Council
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