caa a22 4500 469123249 CHVBK 20180323133144.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF00013054 doi (NATIONALLICENCE)springer-10.1007/BF00013054 A finite element investigation of quasi-static and dynamic asymptotic crack-tip fields in hardening elastic-plastic solids under plane stress [Elektronische Daten] Part I: Crack growth in linear hardening materials [Xiaomin Deng, Ares Rosakis] The asymptotic structures of crack-tip stress and deformation fields are investigated numerically for quasi-static and dynamic crack growth in isotropic linear hardening elastic-plastic solids under mode I, plane stress, and small-scale yielding conditions. An Eulerian type finite element scheme is employed. The materials are assumed to obey the von Mises yield criterion and the associated flow rule. The ratio of the crack-tip plastic zone size to that of the element nearest to the crack tip is of the order of 1.6 × 104. The results of this study strongly suggest the existence of crack-tip stress and strain singularities of the type r s (s < 0) at r=0, where r is the distance to the crack tip, which confirms the asymptotic solutions of variable-separable type by Amazigo and Hutchinson [1] and Ponte Castañeda [2] for quasi-static crack growth, and by Achenbach, Kanninen and Popelar [3] for dynamic crack propagation. Both the values of the parameter s and the angular stress and velocity field variations from the present full-field finite element analysis agree very well with those from the analytical solutions. It is found that the dominance zone of the r s-singularity is quite large compared to the size of the crack-tip active plastic zone. The effects of hardening and inertia on the crack-tip fields as well as on the shape and size of the crack-tip active plastic zone are also studied in detail. It is discovered that as the level of hardening decreases and the crack propagation speed increases, a secondary yield zone emerges along the crack flank, and kinks in stress and velocity angular variations begin to develop. This dynamic phenomenon observable only for rapid crack growth and for low hardening materials may explain the numerical difficulties, in obtaining solutions for such cases, encountered by Achenbach et al. who, in their asymptotic analysis, neglected the existence of reverse yielding zones along the crack surfaces. Kluwer Academic Publishers, 1992 Deng Xiaomin California Institute of Technology, 91125, Pasadena, California, USA aut Rosakis Ares California Institute of Technology, 91125, Pasadena, California, USA aut International Journal of Fracture Kluwer Academic Publishers 57/4(1992-10-01), 291-308 0376-9429 57:4<291 1992 57 10704 https://doi.org/10.1007/BF00013054 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00013054 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Deng Xiaomin California Institute of Technology, 91125, Pasadena, California, USA aut NATIONALLICENCE 700 1- Rosakis Ares California Institute of Technology, 91125, Pasadena, California, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 57/4(1992-10-01), 291-308 0376-9429 57:4<291 1992 57 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 469123249 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer