caa a22 4500 469123680 CHVBK 20180323133145.0 cr unu---uuuuu 170328e19920801xx s 000 0 eng 10.1007/BF00015863 doi (NATIONALLICENCE)springer-10.1007/BF00015863 Sub-region mixed finite element analysis of V -notched plates [Elektronische Daten] [Fan Zhong, Long Yuqiu] In this paper the eigenproblem of elastic plates with V-notches is studied in terms of the complex potentials of elasticity. The variation of the eigenvalues as functions of notch angle is discussed. The phenomenon of bifurcation in the curves of higher-order eigenvalues is discovered and the concept of ‘critical angle' is proposed. Furthermore, a singular stress element, according to the stress field around notch-tips, is developed to account for notch-tip singularity. Moreover, conventional regular displacement elements are used outside the singular stress element, and then the basic finite element equations can be established based on the sub-region mixed energy principle. In two numerical examples, the stress intensity factors K I and K II of the notched specimens with various opening angles are evaluated, satisfactory accuracy can be obtained with very coarse meshes. Kluwer Academic Publishers, 1992 Zhong Fan Building Design Institute of the Ministry of Construction, Beijing, People's Republic of China aut Yuqiu Long Building Design Institute of the Ministry of Construction, Beijing, People's Republic of China aut International Journal of Fracture Kluwer Academic Publishers 56/4(1992-08-01), 333-344 0376-9429 56:4<333 1992 56 10704 https://doi.org/10.1007/BF00015863 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00015863 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhong Fan Building Design Institute of the Ministry of Construction, Beijing, People's Republic of China aut NATIONALLICENCE 700 1- Yuqiu Long Building Design Institute of the Ministry of Construction, Beijing, People's Republic of China aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 56/4(1992-08-01), 333-344 0376-9429 56:4<333 1992 56 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer