A symmetric boundary integral approach to transient poroelastic analysis

Computational Mechanics

Volumn 19, Issue 3, 1997, Pages 169-178

  Pan, E ^a   Maier, G ^b  

^a UCB 450   (United States)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; ELASTICITY; GREEN'S FUNCTION; INTEGRAL EQUATIONS;

GALERKIN BOUNDARY ELEMENT PROCEDURES; TRANSIENT POROELASTIC ANALYSIS;

POROUS MATERIALS;

EID: 0031069842     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050166     Document Type: Article

References (27)

1. Balakrishna, C.; Gray, L. J.; Kane, J. H. (1994): Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: thermal conduction formulation. Comp. Meth. Appl. Mech. Engng. 111: 335-355
2. Biot, M. A. (1941): General theory of three-dimensional consolidation. J. Appl. Phys, 12: 155-164
3. Biot, M. A. (1962): Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33: 1482-1498
4. Biot, M. A.; Willis, D. G. (1957): The elastic coefficients of the theory of consolidation. J. Appl. Mech. 24: 594-601
5. Bonnet, M. (1995): Equations integrales et elements de frontière, Paris, Eyrolles
6. Bonnet, M.; Bui, H. D. (1993): Regularization of the displacements and traction BIE for 3D elastodynamics using indirect methods. In: H. Kane, G. Maier, N. Tosaka and S.N. Atluri editors, Advances in Boundary Element Techniques, 1-29, Berlin, Heidelberg, New York: Springer
7. Carini, A.; Diligenti, M.; Maier, G. (1991): Boundary integral equation analyses in linear viscoelasticity: variational and saddle point formulation, Computational Mech. 8: 87-98
8. Chen, J.; Dargush, G. F. (1995): Boundary element method for dynamic poroelastic and thermoelastic analyses. Int. J. Solids Structures, 32, 15: 2257-2278
9. Cheng A. H. D.; Detournay E. (1993): Fundamentals of poroelesticity, in ''Comprehensive Rock Engineering", J.A. Hudson Eds., 113-171
10. Cheng, A. H. D.; Predeleanu, M. (1987): Transient boundary element formulation for linear poroelasticity. Appl. Math. Modelling. 11: 285-290
11. Chiou Y.-J.; Chi S.-Y. (1994): Boundary element analysis of Biot consolidation in layered elastic soils. Int. J. Num. Analytical Meth. in Geomech. 18: 377-396
12. Coussy, O. (1995): Mechanics of Porous Continua. Chichester: Wiley
13. Detournay, E.; Cheng, A. H. D. (1987): Poroelastic solution of a plane strain point displacement discontinuity. J. Appl. Mech. 54: 783-787
14. Dominguez, J. (1992): Boundary element approach for dynamic poroelastic problems, Int. J. Num. Meth. in Engng. 35: 307-324
15. Kane, J. H. (1994): Boundary Element Analysis in Engineering Continuum Mechanics, Englewood Cliffs, Prentice Hall Inc
16. Lewis, W. R.; Schrefler, A. B. (1987): The finite element method in the deformation and consolidation of porous media. Chichester : Wiley
17. Maier, G.; Diligenti, M.; Carini, A. (1991): A variational approach to boundary element elastodynamic analysis and extension to multi-domain problems, Comp. Meth. Appl. Mech. Engng. 92: 193-213
18. Maier, G.; Miccoli, S.; Novati, G.; Sirtori, S. (1993): A Galerkin symmetric boundary element method in plasticity: formulation and implementation. In: H. Kane, G. Maier, N. Tosaka and S.N. Atluri (eds), Advances in Boundary Element Techniques, 288-328. Berlin, Heidelberg, New York: Springer
19. Maier, G.; Polizzotto, C. (1987): A Galerkin approach to boundary elements elastoplastic analysis. Comp. Meth. Appl. Mech. Engng. 60: 175-194
20. Manolis, G. D.; Beskos, D. E. (1989): Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity. Acta Mech. 76: 89-104
21. Pan, E. (1991): Dislocation in an infinite poroelastic medium. Acta Mech. 87: 105-115
22. Polizzotto, C. (1988): An energy approach to the boundary element method, part I: elastic solids, Comp. Meth. Appl. Mech. Eng. 69: 167-184
23. Rice, J. R.; Cleary, M. P. (1976): Some basic stress-diffusion solutions for fluid-saturated elastic porous media with compressible constituents. Rev. Geophys. Space Phys. 14: 227-241
24. Sirtori, S.; Maier, G.; Novati, G.; Miccoli, S. (1992): A Galerkin symmetric boundary element method in elasticity: formulation and implementation. Int. J. Num. Meth. Engng. 35: 255-282
25. Smith D. W.; Booker J. R. (1993): Green's functions for a fully coupled thermoporoelastic material. Int. J. for Num. and Analyt. Meth. in Geomech. 17: 139-163
26. Wiebe T.; Antes H. (1991): A time domain integral formulation of dynamic poroelasticity, Acta Mechanica 90: 125-137
27. Zhang D.; Cowin S. C. (1994): Oscillatory bending of a poroelastic beam. J. Mech. Phys. Solids. 42, N. 10: 1575-1599