caa a22 4500 445811617 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00419-010-0456-1 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0456-1 Ostoja-Starzewski Martin Department of Mechanical Science and Engineering, Beckman Institute, Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut Macrohomogeneity condition in dynamics of micropolar media [Elektronische Daten] [Martin Ostoja-Starzewski] We determine the macrohomogeneity (Hill-Mandel type) condition in the dynamic response of inhomogeneous micropolar (Cosserat) materials. The setting calls for small deformation gradients and curvatures, but without restrictions on the constitutive behavior and without any requirements of spatial periodicity. The condition gives admissible boundary loadings, along with extra terms representing kinetic energy contributions of both classical type and micropolar type. The said loadings involve various combinations of average stresses and strains, along with couple-stresses and curvature-torsion tensors. If applied to a specific microstructure in a computational mechanics approach, these boundary loadings will allow one to determine scale-dependent homogenization toward a representative volume element (RVE) of an equivalent homogeneous micropolar medium in either elastic or inelastic settings. By restricting the continuum model to an inhomogeneous Cauchy continuum and/or a quasi-static setting, the macrohomogeneity condition simplifies to conventional versions. Springer-Verlag, 2010 Micropolar media nationallicence Cosserat media nationallicence Random media nationallicence Hill-Mandelcondition nationallicence Homogenization nationallicence Macrohomogeneity nationallicence Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 899-906 0939-1533 81:7<899 2011 81 419 https://doi.org/10.1007/s00419-010-0456-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0456-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ostoja-Starzewski Martin Department of Mechanical Science and Engineering, Beckman Institute, Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 899-906 0939-1533 81:7<899 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer