TY - JOUR
T1 - Analytical investigation of wave propagation in bidirectional FG sandwich porous plates lying on an elastic substrate
AU - Mahmoudi, Abdelkader
AU - Bachir Bouiadjra, Rabbab
AU - Benyoucef, Samir
AU - Selim, Mahmoud M.
AU - Tounsi, Abdelouahed
AU - Hussain, Muzamal
N1 - Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2023
Y1 - 2023
N2 - This paper deals with the wave propagation analysis of bidirectional functionally graded (BDFG) porous sandwich plates lying on an elastic foundation within the framework of the quasi-3D shear deformation theory. The mechanical properties of the BDFG plates vary continuously in both axial and thickness directions according to a power law. The sandwich plate’s behavior is modeled by means of quasi-3D displacement field that contains undetermined integral terms and involves only four unknown functions. The BDFG porous sandwich plate is considered to be rest on two kinds of elastic foundation, variable and visco-elastic. The principle of Hamilton is used to reach motion equations of BDFG porous sandwich plates. Then, governing equations are derived for the wave propagation problem based on the present quasi-3D theory and solved analytically. The results of the present work are validated by comparing with those available in the literature works. A parametric study is conducted to show the effect of material gradation, core-to-thickness ratio, porosity volume fraction, and elastic foundation on the wave propagation. The results reveal that these parameters have a great influence on the wave propagation in porous BDFG sandwich plates resting on elastic foundations.
AB - This paper deals with the wave propagation analysis of bidirectional functionally graded (BDFG) porous sandwich plates lying on an elastic foundation within the framework of the quasi-3D shear deformation theory. The mechanical properties of the BDFG plates vary continuously in both axial and thickness directions according to a power law. The sandwich plate’s behavior is modeled by means of quasi-3D displacement field that contains undetermined integral terms and involves only four unknown functions. The BDFG porous sandwich plate is considered to be rest on two kinds of elastic foundation, variable and visco-elastic. The principle of Hamilton is used to reach motion equations of BDFG porous sandwich plates. Then, governing equations are derived for the wave propagation problem based on the present quasi-3D theory and solved analytically. The results of the present work are validated by comparing with those available in the literature works. A parametric study is conducted to show the effect of material gradation, core-to-thickness ratio, porosity volume fraction, and elastic foundation on the wave propagation. The results reveal that these parameters have a great influence on the wave propagation in porous BDFG sandwich plates resting on elastic foundations.
KW - BDFG sandwich plates
KW - porosity
KW - quasi-3D model
KW - variable elastic foundation
KW - viscoelastic foundation
KW - wave propagation
UR - http://www.scopus.com/inward/record.url?scp=85125405874&partnerID=8YFLogxK
U2 - 10.1080/17455030.2022.2038814
DO - 10.1080/17455030.2022.2038814
M3 - Article
AN - SCOPUS:85125405874
SN - 1745-5030
VL - 33
SP - 202
EP - 224
JO - Waves in Random and Complex Media
JF - Waves in Random and Complex Media
IS - 1
ER -