caa a22 4500 463164709 CHVBK 20180406164758.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10778-007-0032-8 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0032-8 Features of plane wave propagation along the layers of a prestrained nanocomposite [Elektronische Daten] [Ya. Zhuk, I. Guz] Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses Springer Science+Business Media, Inc., 2007 composite materials nationallicence nanocomposites nationallicence three-dimensional linearized theory of elasticity nationallicence initial stresses nationallicence longitudinal and transverse wave propagation nationallicence wave velocities nationallicence Zhuk Ya S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Guz I. Centre for Micro-and Nanomechanics, University of Aberdeen, Scotland aut International Applied Mechanics Springer US 43/4(2007-04-01), 361-379 1063-7095 43:4<361 2007 43 10778 https://doi.org/10.1007/s10778-007-0032-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0032-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhuk Ya S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Guz I. Centre for Micro-and Nanomechanics, University of Aberdeen, Scotland aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/4(2007-04-01), 361-379 1063-7095 43:4<361 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer