Unstructured grid method for stress wave propagation in elastic media

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 23-26, 2004, Pages 2427-2452

  Liu, Tielin ^a   Liu, Kaishin ^a   Zhang, Jinxiang ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Elastic wave theory; Finite difference; Finite element; Investigated lump; Unstructured grid

Indexed keywords

ELASTICITY; LOADING; MATHEMATICAL MODELS; MECHANICAL ENGINEERING; NUMERICAL METHODS; STRESSES; WAVE PROPAGATION;

DYNAMIC EQUILIBRIUM EQUATIONS; ELASTIC MEDIA; PHASE VELOCITY; UNSTRUCTURED GRID METHOD;

ACOUSTIC EMISSIONS;

WAVE;

EID: 16544382683     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.01.030     Document Type: Article

References (16)

1. Hulbert G.M. Hughes T.J.R. Space-time finite element methods for second-order hyperbolic equations Comput. Methods Appl. Mech. Engrg. 84 1990 327-348
2. Li X.D. Wiberg N.-E. Implementation and adaptivity of a space-time finite element method for structural dynamics Comput. Methods Appl. Mech. Engrg. 156 1998 211-229
3. Sibuya J. Nakaharai S. Koizumi L. Kaibara K. Investigation of impact stress in a semi-infinite plate by finite difference method Trans. JSME 40 1974 2997-3004 in Japanese
4. Steven M.D. Guang Y. David J.W. Dynamic stress changes during earthquake rupture Bull. Seism. Soc. Am. 88 1998 512-522
5. Liu H. Zhang C. Comparative study on orthotropic solid waves by time-domain BEM and dynamic photoelasticity Int. J. Impact Engrg. 25 2001 439-454
6. Dineva P.S. Manolis G.D. Scattering of seismic waves by cracks in multi-layered geological regions I. Mechanical model Soil Dynamics Earthquake Engrg. 21 2001 615-625
7. Cilfton R.J. A difference method for plane problems in dynamic elasticity Quart. Appl. Math. 25 1967 97-116
8. Liu K. Li X. Sun X. A numerical method for axisymmetric wave propagation problem of anisotropic solids Comput. Methods Appl. Mech. Engrg. 145 1997 109-116
9. Ghosh S. Moorthy S. Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi Cell finite element method Comput. Methods Appl. Mech. Engrg. 121 1995 373-409
10. Zhang J. Liu T. P-SV wave propagation in heterogeneous media: grid method Geophys. J. Int. 136 1999 431-438
11. Madariaga R. Dynamics of an expanding circular fault Bull. Seism. Soc. Am. 66 1976 639-666
12. Virieux J. P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method Geophysics 51 1986 889-901
13. Graves R.W. Simulating seismic wave propagation in 3D elastic media using staggered-grid finite differences Bull. Seism. Soc. Am. 86 1996 1091-1106
14. Cook R.D. Concepts and Applications of Finite Element Analysis 1974 John Wiley New York
15. Clayton R. Engquist B. Absorbing boundary conditions for acoustic and elastic wave equations Bull. Seism. Soc. Am. 67 1977 1529-1540
16. Gottlieb D. Gunzburger M. Turkel E. On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods SIAM J. Numer. Anal. 19 1982 671-682