TY - JOUR
T1 - Analytical Solutions for Functionally Graded Sandwich Plates Bonded by Viscoelastic Interlayer Based on Kirchhoff Plate Theory
AU - Yang, Zhiyuan
AU - Wu, Peng
AU - Liu, Weiqing
AU - Fang, Hai
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Europe Ltd.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - In this paper, an analytical solution for functionally graded sandwich plate adhesively bonded by viscoelastic interlayer is proposed to research its time-dependent behavior. The Kirchhoff plate theory is employed to describe the mechanical property of each gradient layer with elastic modulus defined as the arbitrary function through the thickness direction. The standard linear solid model is applied to simulate the viscoelasticity of the interlayer with considering the strain memory effect. By the use of the vibrational method and the Laplace transformation, the solutions of stresses and displacements are solved analytically. The validation study indicates that the present solution is correct and more effective than the finite element solution because of the fine mesh both in the geometric shape and the time step. In addition, the influences of the geometry and material parameters on the time-dependent behavior of the sandwich plate are investigated in detail.
AB - In this paper, an analytical solution for functionally graded sandwich plate adhesively bonded by viscoelastic interlayer is proposed to research its time-dependent behavior. The Kirchhoff plate theory is employed to describe the mechanical property of each gradient layer with elastic modulus defined as the arbitrary function through the thickness direction. The standard linear solid model is applied to simulate the viscoelasticity of the interlayer with considering the strain memory effect. By the use of the vibrational method and the Laplace transformation, the solutions of stresses and displacements are solved analytically. The validation study indicates that the present solution is correct and more effective than the finite element solution because of the fine mesh both in the geometric shape and the time step. In addition, the influences of the geometry and material parameters on the time-dependent behavior of the sandwich plate are investigated in detail.
KW - Functionally graded materials
KW - Laplace transformation
KW - time-dependent behavior
KW - variational method
KW - viscoelastic interlayer
UR - http://www.scopus.com/inward/record.url?scp=85092136885&partnerID=8YFLogxK
U2 - 10.1142/S1758825120500623
DO - 10.1142/S1758825120500623
M3 - 文章
AN - SCOPUS:85092136885
SN - 1758-8251
VL - 12
JO - International Journal of Applied Mechanics
JF - International Journal of Applied Mechanics
IS - 6
M1 - 2050062
ER -