caa a22 4500 469125047 CHVBK 20180323133148.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF00019975 doi (NATIONALLICENCE)springer-10.1007/BF00019975 Application of the Finite Element Iterative Method to cracks and sharp notches in orthotropic media [Elektronische Daten] [N. Sukumar, M. Kumosa] In this paper, the asymptotic singular fields at cracks and sharp notches in isotropic and orthotropic media are numerically investigated. The Finite Element Iterative Method (FEIM) is used for evaluating the power of the singular field at the notch root under three different loading conditions: tension, shear, and a combination of tension and shear. The numerical results for the isotropic case, obtained by the FEIM, are in excellent agreement with the results from analytical solutions. In tension, the singularity at the notch root converges to the strong singularity % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4UdW2aaS% baaSqaaiaadggaaeqaaaaa!38B3!\[\lambda _a \], while under shear, convergence is to the weak singularity % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4UdW2aaS% baaSqaaiaadkgaaeqaaaaa!38B4!\[\lambda _b \]. When the loading is a combination of tension and shear, the singularity at the notch root always converges to % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4UdW2aaS% baaSqaaiaadggaaeqaaaaa!38B3!\[\lambda _a \] The stress singularity results for orthotropic materials followed the same trend. However, the stress singularities % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4UdW2aaS% baaSqaaiaadggaaeqaaaaa!38B3!\[\lambda _a \] and % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4UdW2aaS% baaSqaaiaadkgaaeqaaaaa!38B4!\[\lambda _b \] are strongly dependent on the elastic properties of the material. Under combined tension and shear loading, the number of iterations for convergence significantly increases, as the loading changes from tension-dominated to shear-dominated. This study has demonstrated the usefulness of the FEIM for the evaluation of asymptotic singular fields at sharp notches in orthotropic materials. Kluwer Academic Publishers, 1992 Sukumar N. Department of Materials Science and Engineering, Oregon Graduate Institute of Science & Technology, 97006, Beaverton, Oregon, USA aut Kumosa M. Department of Materials Science and Engineering, Oregon Graduate Institute of Science & Technology, 97006, Beaverton, Oregon, USA aut International Journal of Fracture Kluwer Academic Publishers 58/2(1992-11-01), 177-192 0376-9429 58:2<177 1992 58 10704 https://doi.org/10.1007/BF00019975 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00019975 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sukumar N. Department of Materials Science and Engineering, Oregon Graduate Institute of Science & Technology, 97006, Beaverton, Oregon, USA aut NATIONALLICENCE 700 1- Kumosa M. Department of Materials Science and Engineering, Oregon Graduate Institute of Science & Technology, 97006, Beaverton, Oregon, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 58/2(1992-11-01), 177-192 0376-9429 58:2<177 1992 58 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer