caa a22 4500 465770495 CHVBK 20180323111927.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF00731936 doi (NATIONALLICENCE)springer-10.1007/BF00731936 The theory of stress concentrations with round vertices [Elektronische Daten] [L. Berezhnitskii, P. Kachur, L. Mazurak] Summary: Asymptotic formulas have been derived for the local elastic displacement patterns together with the corresponding strains and stresses around a curvilinear hole or crack or an absolutely rigid or elastic inclusion with allowance for the radius of curvature at the vertex of the stress concentrator. The pattern is described by means of generalized stress intensity coefficients, which are coefficients to the principal term (1/√gr+2r) in the expansion of the stresses σy and Txy along the longitudinal axis of the concentrator. In the limiting cases of an elastic inclusion, curvilinear holes, or rigid inclusion, the stress intensity coefficients in the classical sense (with 1/√2r dependence) are obtained by passing to the limit ρ→0 from the generalized coefficients. The general asymptotic representations are used to derive near and far asymptotes, which characterize the variations in those quantities correspondingly in the stress concentration and intensity zones around curved defects. The limits to the application of the asymptotes have been established, together with relationships of Irwin type for holes between the generalized intensity coefficients and the stress concentration coefficients (deformation coefficients) for the defect vertices. The limiting sharpness of a vertex has been identified starting with which a stress concentrator can be considered of crack type, i.e., having points of return on the edge. Plenum Publishing Corporation, 1990 Berezhnitskii L. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov aut Kachur P. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov aut Mazurak L. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov aut Soviet materials science : a transl. of Fiziko-khimicheskaya mekhanika materialov / Academy of Sciences of the Ukrainian SSR Kluwer Academic Publishers-Plenum Publishers 25/5(1990-09-01), 465-476 0038-5565 25:5<465 1990 25 11003 https://doi.org/10.1007/BF00731936 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00731936 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Berezhnitskii L. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov aut NATIONALLICENCE 700 1- Kachur P. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov aut NATIONALLICENCE 700 1- Mazurak L. Karpenko Physicomechanics Institute, Ukrainian Academy of Sciences, Lvov 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 25/5(1990-09-01), 465-476 0038-5565 25:5<465 1990 25 11003 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer