Study on meshless manifold method in elastodynamics

Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering

Volumn 25, Issue 1, 2006, Pages 141-145

  Li, Shu Chen ^a   Li, Shu Cai ^a   Zhu, Wei Shen ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Elastodynamics; Meshless manifold method; Numerical analysis; Partition of unity

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; NUMERICAL METHODS; STRESS ANALYSIS;

ELASTODYNAMICS; MESHLESS MANIFOLD METHOD; PARTITION OF UNITY;

DYNAMICS;

EID: 33645789346     PISSN: 10006915     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Babuska I, Melenk J M. The partition of unity method[J]. Int. J. Numer. Meth. Engrg., 1997, 40: 727-758.
2. Shi G H. Modeling rock joints and blocks by manifold method[A]. In: Proceedings of the 33rd US Rock Mechanics Symposium[C]. [s.l.]: [s.n.], 1992. 639-648.
3. Shi G H. Numerical manifold method[A]. In: Proc. of the Second International Conference on Analysis of Discontinuous Deformation[C]. [s.l.]: [s.n.], 1997. 1-35.
4. Li Shuchen, Cheng Yumin. Meshless numerical manifold method based on unit partition[J]. Acta Mechanica Sinica, 2004, 36(4): 496-500.(in Chinese)
5. Belytschko T, Fleming M. Smoothing, enrichment and contact in the element-free Galerkin method[J]. Computer and Structures, 1999, 71: 173-195.
6. Belytschko T, Gu L, Lu Y Y. Fracture and crack growth by element-free Galerkin methods[J]. Modeling Simal Mater. Sci. Eng., 1994, (2): 519-534.
7. Lu Y Y, Belytschko T, Tabbara M. Element-free Galerkin methods for wave propagation and dynamic fracture[J]. Computer Methods in Applied Mechanics and Engineering, 1995, 126: 131-157.
8. Fleming M, Chu Y A, Moran B, et al. Enriched element-free Galerkin methods for crack tip fields[J]. International Journal for Numerical Methods in Engineering, 1997, 40: 1483-1504.
9. Sukumar N, Moran B, Black T, et al. An element-free Galerkin method for three-dimensional fracture mechanics[J]. Computational Mechanics, 1997, 20: 170-175.
10. Krysl P, Belytschko T. The element-free Galerkin method for dynamic propagation of arbitrary 3D cracks[J]. International Journal for Numerical Methods in Engineering, 1988, 31: 59-89.
11. Belytschko T, Lu Y Y, Gu L. Crack propagation by element-free Galerkin methods[J]. Engng. Fracture Mech., 1995, 5(12): 295-315.
12. Ching H K.. Solution of linear elastostatic and elastodynamic plane problems by the meshless local Petrov-Galerkin method[Ph. D. Thesis][D]. Blacksburg, Virginia: [s.n.], 2002.