Determining the parameters of the fractional exponential heredity kernels of linear viscoelastic materials |
| |
Authors: | V P Golub P V Fernati Ya G Lyashenko |
| |
Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |
| |
Abstract: | The parameters of the fractional exponential creep and relaxation kernels of linear viscoelastic materials are determined.
Methods that approximate the kernel by using the Mittag-Leffler function, the Laplace-Carson transform, and direct approximation
of the creep function by the original equation are analyzed. The parameters of fractional exponential kernels are determined
for aramid fibers, parapolyamide fibers, glass-reinforced plastic, and polymer concrete. It is shown that the kernel parameters
calculated through the direct approximation of the creep function provide the best agreement between theory and experiment.
The methods are experimentally validated for constant-stress and variable-stress loading in the modes of additional loading
and complete unloading
Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 12–25, September 2008. |
| |
Keywords: | linear viscoelastic material creep fractional exponential kernel kernel parameters approximation of kernels Laplace-Carson transform constant loading single load complete unloading |
本文献已被 SpringerLink 等数据库收录! |
|