Title :
A generalized self-consistent method for determining effective dynamic elastic and diffraction properties of composites with random structures
Author :
Pan´kov, Andrey A.
Author_Institution :
Dept. of Composite Mater. Mech., Perm State Tech. Univ., Russia
Abstract :
Developed is a self-consistent statistical mechanics approach for determining the effective dynamic elastic and diffraction properties of the composites with random structures. The problem is reduced to the model of a single inclusion with a inhomogeneous elastic neighbourhood in a medium with the effective dynamic elastic properties. The inhomogeneous elastic properties and size of the neighbourhood are defined by probabilistic laws for the inclusion distribution in a representative domain. Numerical results are given for the effective dynamic elastic properties and for the effective section of the scattering of the composite with unidirectional hollow fibres
Keywords :
elastic waves; elasticity; fibre reinforced composites; statistical mechanics; composites; effective dynamic diffraction properties; effective dynamic elastic properties; generalized self-consistent method; inhomogeneous elastic neighbourhood; inhomogeneous elastic properties; probabilistic laws; random structures; representative domain; single inclusion; unidirectional hollow fibres; Capacitive sensors; Composite materials; Damping; Diffraction; Lattices; Mechanical factors; Partial differential equations; Periodic structures; Scattering; Tensile stress;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873520
