caa a22 4500 46577072X CHVBK 20180323111928.0 cr unu---uuuuu 170327e19900101xx s 000 0 eng 10.1007/BF00734533 doi (NATIONALLICENCE)springer-10.1007/BF00734533 Delyavs'kii M. G. V. Karpenko Physical Mechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov aut Simulating crack growth and failure in a composite: A vector model for a layered composite material [Elektronische Daten] [M. Delyavs'kii] Summary: A model has been proposed for a layered composite having an inhomogeneous microstructure. It is represented as the union of vector spaces for the mechanical characteristics of the material and the volume contents of the layers. The elastic parameters for each layer are considered as random functions of an arbitrarily defined volume. For a microscopically inhomogeneous material, one can consider a base volume such that the elastic properties of the material are retained and for which one can apply effective elastic moduli. The state of stress and strain in such a material is described by the components of the macrostress and macrostrain tensors with respect to a certain (structural) volume, which exceeds the base volume. The justification for that approach is demonstrated for a microscopically inhomogeneous orthotropic composite. Plenum Publishing Corporation, 1990 Soviet materials science : a transl. of Fiziko-khimicheskaya mekhanika materialov / Academy of Sciences of the Ukrainian SSR Kluwer Academic Publishers-Plenum Publishers 26/1(1990-01-01), 19-22 0038-5565 26:1<19 1990 26 11003 https://doi.org/10.1007/BF00734533 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00734533 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Delyavs'kii M. G. V. Karpenko Physical Mechanical Institute, Academy of Sciences of the Ukrainian SSR, L'vov aut NATIONALLICENCE 773 0- Soviet materials science : a transl. of Fiziko-khimicheskaya mekhanika materialov / Academy of Sciences of the Ukrainian SSR Kluwer Academic Publishers-Plenum Publishers 26/1(1990-01-01), 19-22 0038-5565 26:1<19 1990 26 11003 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer