PSI - Issue 26

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2020) 000 – 000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 26 (2020) 35–45

st

© 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers This paper presents an analytical solution based on higher order shear deformation plate theory method for investigation of vibration behavior of a functionally graded plate. Here, the types of even porosity distribution are considered. It has been observed that during the manufacture of (FGP), micro-voids and porosities can occur inside the material. Hamilton's principle will be used herein to determine the equations of motion. Since, the plate are simply supported the Navier procedure will be retained. Then the proposed numerical approach is implemented to achieve the frequency parameters of the plate. In this work, a detailed numerical study is conducted to examine the effects of porosity coefficient on fundamental frequencies of the plate for different thickness ratios, geometric ratio and material properties and material power index. © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers Keywords: Higher order shear deformation; Functionally Graded Plate; Power law distribution; Free vibration; porosity; even distribution. This nder t The 1 st Mediterranean Conference on Fracture and Structural Integrity, MedFract1 Effects of even pores distribution of functionally graded plate porous rectangular and square Merdaci Slimane a, *, Hadj Mostefa Adda b , Merazi Mohamed c , Belghoul Hakima d , Hellal Hadjira c , Boutaleb Sabrina c a Laboratory of Structures and Advanced Materials in Civil Engineering and Public Works, University of Djillali Liabès of Sid i Bel Abbes, Faculty of Technology, Department of Civil Engineering and Public Works, Algeria. b Laboratory of Industrial Engineering and Sustainable Development, Department Civil Engineering, Institute of Science & Technology, University of Rélizane, Algeria. c Laboratory of Materials and Hydrology LM&H, Department of Civil En gineering and Public Works, ,University of Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel d Laboratory of Mechanics Physics of Materials (LMPM), University of Djillali Liabès of Sidi Bel Abbes, Algeria . l d ll c Abstract

* Corresponding author. E-mail address: slimanem2016@gmail.com

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers 10.1016/j.prostr.2020.06.006