A polygonal–FEM technique in modelling arbitrary interfaces on non-conformal meshes: a study on polygonal shape functions
作者： A.R. Khoei , S.O.R. Biabanaki , R. Yasbolaghi
DOI: 10.1080/17797179.2014.904542
关键词:
摘要: In this paper, the application of polygonal–FEM method is investigated together with performance various polygonal shape functions in modelling large deformation problems. Polygonal–FEM technique used arbitrary interfaces deformations using non-conformal meshes. The applied to capture independent element cut by interface a uniform mesh. geometry produce elements at intersection regular FE mesh, which extra degrees-of-freedom are defined along interface. level set employed describe material on background Numerical convergence analysis carried out study approximation error and rate interpolation elements. Finally, several numerical examples solved investigate efficiency each inter...
sci-hub.se 参考文章(31)
N. Sukumar, Construction of polygonal interpolants: a maximum entropy approach International Journal for Numerical Methods in Engineering. ,vol. 61, pp. 2159- 2181 ,(2004) , 10.1002/NME.1193
T. Strouboulis, K. Copps, I. Babuška, The generalized finite element method Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 4081- 4193 ,(2001) , 10.1016/S0045-7825(01)00188-8
T. Belytschko, N. Mo�s, S. Usui, C. Parimi, Arbitrary discontinuities in finite elements International Journal for Numerical Methods in Engineering. ,vol. 50, pp. 993- 1013 ,(2001) , 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M
Ulrich Pinkall, Konrad Polthier, Computing Discrete Minimal Surfaces and Their Conjugates Experimental Mathematics. ,vol. 2, pp. 15- 36 ,(1993) , 10.1080/10586458.1993.10504266
W. Dahmen, H.P. Dikshit, A. Ojha, On Wachspress quadrilateral patches Computer Aided Geometric Design. ,vol. 17, pp. 879- 890 ,(2000) , 10.1016/S0167-8396(00)00031-5
S. O. R. Biabanaki, A. R. Khoei, A polygonal finite element method for modeling arbitrary interfaces in large deformation problems Computational Mechanics. ,vol. 50, pp. 19- 33 ,(2012) , 10.1007/S00466-011-0668-4
Zhilin Li, Tao Lin, Xiaohui Wu, New Cartesian grid methods for interface problems using the finite element formulation Numerische Mathematik. ,vol. 96, pp. 61- 98 ,(2003) , 10.1007/S00211-003-0473-X
A.R. Khoei, M. Anahid, K. Shahim, An extended arbitrary Lagrangian-Eulerian finite element method for large deformation of solid mechanics Finite Elements in Analysis and Design. ,vol. 44, pp. 401- 416 ,(2008) , 10.1016/J.FINEL.2007.12.005
M. Anahid, A. R. Khoei, New development in extended finite element modeling of large elasto‐plastic deformations International Journal for Numerical Methods in Engineering. ,vol. 75, pp. 1133- 1171 ,(2008) , 10.1002/NME.2281
Elisabeth Anna Malsch, Gautam Dasgupta, Shape functions for polygonal domains with interior nodes International Journal for Numerical Methods in Engineering. ,vol. 61, pp. 1153- 1172 ,(2004) , 10.1002/NME.1099