BOUNDARY ELEMENT ANALYSIS OF LINEAR THERMOELASTIC CONSOLIDATION
Source abstract
Abstract
This paper presents a direct boundary element method of numerical analysis, formulated in the Laplace transform domain, for a plane strain analysis of a linear thermo-poro-elastic material consolidating in the presence of a heat source. The equations governing the behaviour of the material are assumed to be a set of self-adjoint and fully coupled linear equations. A physical intepretation of the constants appearing in the linear theory relevant to engineering applications is presented. A boundary integral equation is developed from the governing equations in a straightforward way using the properties of Dirac delta functions, and an approximate boundary element method of numerical analysis is implemented using the Green's functions derived previously by the authors. The numerical analysis presented is motivated by the engineering design of a heat generating radioactive waste repository located deep underground. For this reason, there is a description of the application of the boundary integral equation method presented to the numerical solution of several problems of theoretical and practical interest in the area of radioactive waste disposal in clay-like soils.
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Research context
OpenAlex topics: Numerical methods in engineering · Soil and Unsaturated Flow · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (68)
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1. Uranium Institute, 1991.
2. Forsch · Oceanus · 1977 · 20 · 5
3. and , Atomic and Nuclear Physics, Van Nostrand, London, 1963.
4. Silva · Oceanus · 1977 · 20 · 31
5. Heath · Oceanus · 1977 · 20 · 26
6. (NEA), Nuclear Energy Agency ‘Siting of Radioactive Waste Repositories in Geological Formations’, Workshop Proc., OECD, 1981.
7. Hollister · Oceanus · 1977 · 20 · 18
8. Hollister · Science · 1981 · 213 · 132110.1126/science.213.4514.1321 ↗
9. and , ‘Leachate migration through clay below a domestic waste landfill, Sarnia, Ontario, Canada’; Chemical interpretactive and modelling philosophies, Hazardous and Industrial Solid Waste Testing and Disposes: Sixth Volume, ASTM STP 933, (1986).
10. Desaulniers · J. Hydrol. · 1981 · 50 · 23110.1016/0022-1694(81)90072-X ↗
11. and , ‘The modelling of a natural diffusion profile and the implications for landfill design’, in and (eds.) Numerical Methods in Geomechanics, Balkema, Rotterdam, (1992) pp. 481-490.
12. and , Groundwater, Prentice-Hall, Eaglewood Cliffs, NJ, 1979.
13. Jeong · Waste Management · 1992 · 12 · 6110.1016/0956-053X(92)90010-G ↗
14. Nuclear Research Centre, Geologic Waste Disposal Project Boeretang, Brussels, 1992, private communication.
15. Hensley · Int. J. numer. anal. methods geomech.: Geo-environmental Issue · 1993 · 17 · 48310.1002/nag.1610170705 ↗
16. Hickox · Trans. ASME · 1980 · 102 · 24810.1115/1.3244268 ↗
17. Effect of a heat source in saturated clay, Ph.D. Thesis, Cambridge University, 1984.
18. Hueckel · Comput. Geotech. · 1987 · 3 · 15710.1016/0266-352X(87)90019-X ↗
19. Britto · geotechnique · 1989 · 39 · 1310.1680/geot.1989.39.1.13 ↗
20. Lewis · Transport in Porous Media · 1986 · 1 · 15510.1007/BF00714690 ↗
21. Lewis · Transport in Porous Media · 1989 · 14 · 31910.1007/BF00165778 ↗
22. Booker · Int. J. Solids Struct. · 1984 · 20 · 107910.1016/0020-7683(84)90091-X ↗
23. Booker · Int. J. numer. anal. methods geomech. · 1985 · 9 · 17310.1002/nag.1610090206 ↗
24. and , 1988.
25. Savvidou · Int. J. numer. anal. methods geomech. · 1989 · 13 · 7510.1002/nag.1610130107 ↗
26. McTigue · J. Geophys. Res. · 1986 · 91 · 953310.1029/JB091iB09p09533 ↗
27. Applications of Green's Functions in Science and Engineering, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.
28. and , ‘Boundary integral analysis of transient thermoelasticity’, Finite Elements in Engineering, Proc. 5th Int. Conf. in Australia on Finite Element Methods, University of Melbourne, in: J. F. Williams and L. K. Stevens, (eds.), University of Melbourne, Melbourne, 1987.
29. Smith · Int. J. Numer. Anal. Methods GeomechS. · 1989 · 13 · 28310.1002/nag.1610130305 ↗
30. and , ‘Numerical analysis of linear quasi-static coupled transient thermoelasticity’, in: (ed.), Numerical Methods in Geomechanics, Innsbruck, A. A. Balkema, Rotterdam, 1988.
31. Thermoelasticity, Pergamon Press, Oxford, 1962.
32. Sladek · Appl. Math. Modelling · 1983 · 7 · 24110.1016/0307-904X(83)90077-X ↗
33. Biot · J. App. Mech. · 1956 · 23 · 9110.1115/1.4011213 ↗
34. Cleary · Int. J. Solids Struct. · 1977 · 13 · 78510.1016/0020-7683(77)90065-8 ↗
35. Cheng · Int. J. Numer. Meth. Eng. · 1984 · 20 · 27910.1002/nme.1620200207 ↗
36. Cheng · Int. J. Numer. Anal. Meth. Geomech. · 1988 · 12 · 55110.1002/nag.1610120508 ↗
37. and , ‘Behaviour of a heat source in a fully coupled saturated thermoelastic soil’, in: and , (eds.) Numerical Methods in Geomechanics, NUMOG III, Elsevier Applied Science, London, 1989, pp. 399-406.
38. ‘Boundary element analysis of heat flow and consolidation for geotechnical applications’, Ph.D. Thesis, University of Sydney, Sydney, 1990.
39. Smith · Int. J. numer. anal. Methods geomech. · 1993 · 17 · 13910.1002/nag.1610170302 ↗
40. Schiffman · Environ. Geophys. Heat Transfer · 1972 · 4 · 78
41. Derski · Arch. Mech. · 1979 · 31 · 303
42. Palcianskar and Domenico, 1982.
43. Noorishad · J. Geophys. Res. · 1984 · 89 · 1036510.1029/JB089iB12p10365 ↗
44. Aboustit · Int. J. numer. methods geomech. · 1985 · 9 · 4910.1002/nag.1610090105 ↗
45. Mei · ASCE J. Eng. Mech. · 1988 · 114 · 99010.1061/(ASCE)0733-9399(1988)114:6(990) ↗
46. and , ‘The solution of parabolic and hyperbolic problems using an alternative boundary element formulation’, in: (ed.), Boundary Elements VII, Springer, Berlin, 1985.
47. Banerjee · Int. J. numer. anal. methods. geomech · 1981 · 5 · 1510.1002/nag.1610050104 ↗
48. Rources · Comp. Struct. · 1983 · 16 · 71710.1016/0045-7949(83)90063-9 ↗
49. and , ‘An application of the boundary element method to thermoelastic problems’, Fifth International Conference on Boundary Elements, Ed. Brebbia et al., 417-426 (1983).
50. Sharp · J. Appl. Mech. · 1986 · 53 · 29810.1115/1.3171755 ↗
51. Taigbenu · Int. J. Numer. Meth. Eng. · 1986 · 23 · 105710.1002/nme.1620230606 ↗
52. Chaudouet · Int. J. numer. methods engg. · 1989 · 24 · 24
53. Henry · Int. J. Numer. Meth. Eng. · 1988 · 26 · 206110.1002/nme.1620260911 ↗
54. et al., 1990.
55. Talbot · J. Inst. Math. Appl. · 1979 · 23 · 9710.1093/imamat/23.1.97 ↗
56. Rizzo · AIAAJ. · 1970 · 8 · 200410.2514/3.6038 ↗
57. Sladek · Appl. Math. Modelling · 1984 · 8 · 41310.1016/0307-904X(84)90047-7 ↗
58. and , ‘Numerical analysis of linear quasi-static coupled transient thermoelasticity’, Computational Techniques and Applications: CTAC 87, Proc. of the 1987 International Conference, University of Sydney, Ed. and , Pub. North-Holland, Amsterdam, (1987).
59. Cheng · Int. J. numer. anal. methods geomech. · 1988 · 12 · 55110.1002/nag.1610120508 ↗
60. and , Theory of Thermal Stresses, Wiley, New York, 1960.
61. Introduction to Fourier Analysis and Generalised Functions, The Syndics of the Cambridge University Press, London, 1958.10.1017/CBO9781139171427 ↗
62. and , ‘Boundary element methods in solid mechanics’, George Allen and Unwin Ltd, London, (1983).
63. and Handbook of Mathematical Functions, National Bureau of Standard Applied Mathematics, Ser. 55, US Government Printing Offices, Washington D.C., 1964.
64. Biot · J. Appl. Phys. · 1941 · 12 · 15510.1063/1.1712886 ↗
65. A Course in Thermodynamics, Vols I and II, (1965-1968) Blaisdell, New York.
66. ‘State-of-the-art report on radioactive waste disposal’, IAEA Bulletin, No. 4/1989, pp. 18-25 (1989).
67. Biot · J. App. Mech. · 1957 · 24 · 59410.1115/1.4011606 ↗
68. Carter · Int. J. Solids Struct. · 1982 · 18 · 105910.1016/0020-7683(82)90093-2 ↗