Journal
COMPOSITE STRUCTURES
Volume 249, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2020.112492
Keywords
Functionally graded material; Layered structures; Viscoelastic interlayer; Laplace transform; Time-dependent behavior
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Funding
- National Natural Science Foundation of China [51778285]
- Natural Science Foundation of Jiangsu Province [BK20190668]
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [19KJB560014]
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This work proposes exact solutions for simply supported multilayer functionally graded (FG) beams with viscoelastic interlayer to predict its time-dependent mechanical behavior. The stresses and deformations of FG layers are described by the two-dimensional (2-D) elasticity theory. The viscoelastic property of the interlayer is simulated by the standard linear solid model, and its constitutive relation is expressed in the convolution form which considers the strain memory effect. The general solutions of FG layers involving undetermined coefficients are obtained by virtue of the Fourier series expansion. By the use of the Laplace transform method, the solutions of stresses and deformations are determined analytically. The present solutions including Fourier series possess good convergence property. The comparison studies indicate that the finite element (FE) solutions approach the present ones when each FG layer is divided into many isotropic sub-layers in FE model and the gradient factor is taken as small value. The relative error of the one-dimensional (1-D) Euler-Bernoulli solutions is slight for slender beam with small gradient factor, but it significantly increases as the beam thickness or the gradient factor grows. Finally, the influences of the material constants on the time-dependent behavior in the beam are investigated in detail.
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