1D infinite element for dynamic problems in saturated porous media

Communications in Numerical Methods in Engineering

Volumn 13, Issue 9, 1997, Pages 727-738

  Khalili, N ^a   Valliappan, S ^a   Tabatabaee Yazdi, J ^a,b   Yazdchi, M ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b Jahad e Sazandegy Miniszterium A   (Iran)

Author keywords

Frequency domain; Infinite element; Two phase media; Wave propagation

Indexed keywords

POROUS MEDIUM; SATURATION; WAVE PROPAGATION;

INFINITE ELEMENT; POROUS MEDIUM; WAVE PROPAGATION;

ONE DIMENSIONAL INFINITE ELEMENTS; SATURATED POROUS MEDIA;

BOUNDARY CONDITIONS; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; POROUS MATERIALS; WAVE TRANSMISSION;

NUMERICAL METHODS;

EID: 0031215308     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199709)13:9<727::AID-CNM102>3.0.CO;2-I     Document Type: Article

References (21)

1. R. L. Ungless, 'An infinite element', MSc Thesis, University of British Colombia, 1973.
2. P. Bettess, 'Infinite elements', Int. j. numer. methods eng., 11, 53-64 (1977).
3. P. Bettess, Infinite Elements, Penshaw Press, Sunderland, 1992.
4. O. C. Zienkiewicz, K. Bando, P. Bettess, C. Emson and T. C. Chiam, 'Mapped infinite element for exterior wave problems', Int. j. numer. methods eng., 21, 1229-1251 (1985).
5. W. L. Wood, 'Mapped infinite element for exterior wave problems', Int. j. numer. methods eng., 10, 885-891 (1976).
6. F. Damjanic and D. R. L. Owen, 'Mapped infinite elements in transient thermal analysis', Comput. Struct., 19(4), 673-687 (1984).
7. Y. Kongo and G. Pokharel, 'Parametric infinite element for seepage analysis', Int. j. numer. anal. methods geomech., 17, 45-66 (1993).
8. C. Zhao and S. Valliappan, 'Transient infinite elements for seepage problems in infinite media', Int. j. numer. anal. methods geomech., 17(5), 323-341 (1993).
9. H. G. Askar and P. P. Lynn, 'Infinite elements for ground freezing problems', ASCE, J. Eng. Mech., 110(2), 157-172 (1984).
10. L. Simoni and B. A. Schrefler, 'Mapped infinite elements in soil consolidation', Int. j. numer. methods eng., 24, 513-527 (1987).
11. M. Zamman, A. Gopalasingam and G. Laguros, 'Consolidation settlement of bridge approach foundation, ASCE, J. Eng. Mech., 117, 219-239 (1991).
12. n type decay', Int. j. numer. methods eng., 17(3), 347-355 (1981).
13. G. Beer and J. L. Meek, 'Infinite domain element', Int. j. numer. methods eng., 17(1), 43-52 (1981).
14. G. Beer and J. O. Watson, 'Infinite boundary elements', Int. j. numer. methods eng., 28, 1233-1247 (1989).
15. C. Emson and P. Bettess, 'Application of infinite elements to external electro-magnetic field problems', in Proc. Int. Conf. Num. Meth. for Coupled Problems, Swansea, UK, 1981, pp. 887-902.
16. P. Bettess and O. C. Zienkiewicz, 'Diffraction and refraction of surface waves using finite and infinite elements', Int. j. numer. methods eng., 11, 1271-1290 (1977).
17. Y. K. Chow and I. M. Smith, 'Static and periodic infinite solid elements', Int. j. numer. methods eng., 17(4), 503-526 (1981).
18. F. Medina and R. L. Taylor, 'Finite element technique for problems with unbounded domains', Int. j. numer. methods eng., 19, 1209-1226 (1983).
19. C. Zhao, C. Zhang and G. Zhang, 'Simulation of arch dam foundation by using infinite elements', Shuili Xuebao, 2, 27-36 (1987).
20. C. Zhao and S. Valliappan, 'A dynamic infinite element for three dimensional infinite domain wave problems', Int. j. numer. methods eng., 36, 2567-2580 (1992).
21. M. A. Biot, 'Mechanics of deformation and acoustic propagation in porous media', J. Appl. Phys., 33, 1482-1498 (1962).