RT Journal Article ID 65e94c587e3dbf63 A1 Buryachenko, Valeriy A. T1 SOME GENERAL REPRESENTATIONS IN THERMOPERISTATICS OF RANDOM STRUCTURE COMPOSITES JF International Journal for Multiscale Computational Engineering JO JMC YR 2014 FD 2014-05-25 VO 12 IS 4 SP 331 OP 350 K1 microstructures K1 inhomogeneous material K1 peristatics K1 nonlocal methods K1 multiscale modeling AB The basic feature of the peridynamic model considered is a continuum description of a material behavior as the integrated nonlocal force interactions between infinitesimal particles. In contrast to these classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48:175209) is free of any spatial derivatives of displacement. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained. The general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points is proposed. These new GIEs are obtained by centering procedure of subtraction from both sides of a new initial integral equation their statistical averages obtained without any auxiliary assumptions which are implicitly exploited in the known centering methods. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,50637cb025ce9493,65e94c587e3dbf63.html