caa a22 4500 465741347 CHVBK 20180323111809.0 cr unu---uuuuu 170327e19900401xx s 000 0 eng 10.1007/BF01185955 doi (NATIONALLICENCE)springer-10.1007/BF01185955 Perturbation solution for near-tip fields of cracks growing in elastic perfectly-plastic compressible materials [Elektronische Daten] [Keh-Chih Hwang, Xue-Fu Luo] With ε = 1/2 − ν (ν - Poisson's ratio) as a small parameter, perturbation expansion is made, based upon the generally accepted solution for near-tip fields of cracks growing in elastic perfectly-plastic incompressible materials under plane strain. Asymptotic solutions up to the order ε2 are obtained for near-tip fields of cracks growing quasi-statically and steadily in elastic perfectly-plastic compressible materials. The near-tip field has a 5-sector structure. As ν → 1/2 the 5-sector solution degenerates to the 4-sector solution for the case of incompressible materials. The perturbation expansion provides deeper insight into the process of degeneration of the 5-sector solution to the 4-sector one, and also gives approximate analytical solutions for the case of compressible materials. Kluwer Academic Publishers, 1990 Hwang Keh-Chih Department of Engineering Mechanics, Tsinghua University, Beijing, People's Republic of China aut Luo Xue-Fu Department of Engineering Mechanics, Tsinghua University, Beijing, People's Republic of China aut International Journal of Fracture Kluwer Academic Publishers 42/4(1990-04-01), 323-340 0376-9429 42:4<323 1990 42 10704 https://doi.org/10.1007/BF01185955 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01185955 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hwang Keh-Chih Department of Engineering Mechanics, Tsinghua University, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Luo Xue-Fu Department of Engineering Mechanics, Tsinghua University, Beijing, People's Republic of China aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 42/4(1990-04-01), 323-340 0376-9429 42:4<323 1990 42 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer