Analytical aspects in boundary integral equation formulation for the generalized linear micropolar thermoelasticity

International Journal of Mechanical Sciences

Volumn 46, Issue 3, 2004, Pages 389-409

  El Karamany, Ahmed S ^a   Ezzat, Magdy A ^a  

^a Faculty of Education   (Oman)

Author keywords

Boundary integral equation formulation; Fundamental solutions; Generalized micropolar thermoelasticity; Generalized thermoelasticity; Green functions

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; GRANULAR MATERIALS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; RELAXATION PROCESSES; ROTATION;

BOUNDARY INTEGRAL EQUATION FORMULATIONS; FUNDAMENTAL SOLUTIONS; GENERALIZED MICROPOLAR THERMOELASTICITY; GENERALIZED THERMOELASTICITY;

THERMOELASTICITY;

EID: 2942659841     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.03.013     Document Type: Article

References (48)

1. Eringen A.C., Suhubi E.S. Non-linear theory of simple microelastic solids, part I. International Journal of Engineering Sciences. 2:1964;189-203.
2. Eringen A.C., Suhubi E.S. Non-linear theory of simple microelastic solids, part II. International Journal of Engineering Sciences. 2:1964;389-404.
3. Eringen AC. Linear theory of micropolar elasticity. ONR technical report no. 29, School of Aeronautics, Aeronautics and Engineering Science, Purdue University, 1965.
4. Eringen A.C. Linear theory of micropolar elasticity. Journal of Mathematics and Mechanics. 15:1966;909-923.
5. Nowacki W. Couple stresses in the theory of thermoelasticity, I. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(2):1966;129-138 Nowacki W. Couple stresses in the theory of thermoelasticity, II. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(3):1966;263-272 Nowacki W. Couple stresses in the theory of thermoelasticity, III. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(8):1966;801-809.
6. Nowacki W. Couple stresses in the theory of thermoelasticity, I. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(2):1966;129-138 Nowacki W. Couple stresses in the theory of thermoelasticity, II. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(3):1966;263-272 Nowacki W. Couple stresses in the theory of thermoelasticity, III. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(8):1966;801-809.
7. Nowacki W. Couple stresses in the theory of thermoelasticity, I. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(2):1966;129-138 Nowacki W. Couple stresses in the theory of thermoelasticity, II. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(3):1966;263-272 Nowacki W. Couple stresses in the theory of thermoelasticity, III. Bulletin de l'Academie Polonaise des Sciences, Serie des Sciences Techniques. 14(8):1966;801-809.
8. Eringen A.C. A unified theory of thermomechanical materials. International Journal of Engineering Sciences. 4:1966;179-202.
9. Eringen AC. Foundation of micropolar thermoelasticity. Courses and lectures, vol. 23. CISM, Udine. Vienna, WD, New York: Springer; 1970.
10. Tauchert T.R., Claus W.D. Jr., Ariman T. The linear theory of micropolar thermoelasticity. International Journal of Engineering Sciences. 6:1968;36-47.
11. Tauchert T.R. Thermal stresses in micropolar elastic solids. Acta Mechanica. 11:1971;155.
12. Nowacki W, Olszak W, editors. Micropolar thermoelasticity. In: micropolar thermoelasticity, CISM courses and lectures, vol. 151, Udine. Vienna: Springer; 1974.
13. Dhaliwal RS, Singh A. Micropolar thermoelasticity. In: Hetnarski R, editor. Thermal stresses, vol. II, Mechanics and mathematical methods, series 2. Amsterdam: North-Holland; 1987.
14. Eringen AC, Kafadar CB. Continuum physics, vol. IV. In: Eringen AC, editor. New York: Academic Press; 1976.
15. Biot M. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics. 27:1956;240.
16. Hetnarski R.B., Ignaczak J. Generalized thermoelasticity. Journal of Thermal Stresses. 22:1999;451-476.
17. Lord H., Shulman Y. A generalized dynamical theory of thermo-elasticity. Journal of the Mechanics and Physics of Solids. 15:1967;299-309.
18. Muller I.M. The coldness, a universal function in thermoelastic bodies. Archive for Rational Mechanics and Analysis. 41:1971;319-332.
19. Green A.E., Laws N. On the entropy production inequality. Archive for Rational Mechanics and Analysis. 45:1972;47-53.
20. Green A.E., Lindsay K.A. Thermoelasticity. Journal of Elasticity. 2:1972;1-7.
21. Suhubi ES. Thermoelastic solids. In: Eringen AC, editor. Continuum physics, vol. 2, Part 2, New York: Academic Press; 1975 [Chapter 2].
22. Ignaczak J. Generalized thermoelasticity and its applications. In: Hetnarski RB, editor. Mechanical and mathematical methods, vol. 3, Thermal Stresses III, Amsterdam: North-Holland; 1989.
23. Green A.E., Naghdi P.M. Thermoelasticity without energy dissipation. Journal of Elasticity. 31:1993;189-208.
24. Green A.E., Naghdi P.M. A re-examination of the basic postulates of thermomechanics. Proceedings of the Royal Society of London A. 432:1991;171-194.
25. Green A.E., Naghdi P.M. On undamped heat waves in an elastic solid. Journal of Thermal Stresses. 15:1992;253-264.
26. Tzou D.Y. A unified approach for heat conduction from macro to micro-scales. Journal of Heat Transfer. 117:1995;8-16.
27. Chandrasekharaiah D.S. Hyperbolic thermoelasticity. A review of recent literature. Applied Mechanics Review. 51:1998;705-729.
28. Joseph D.D., Preziosi L. Heat waves. Reviews of Modern Physics. 61:1989;41-73.
29. Joseph D.D., Preziosi L. Addendum to the paper. heat waves Reviews of Modern Physics. 62:1990;375-391.
30. Cruse TA, Rizzo FJ, editors. Boundary integral equation methods - computational applications. In: Applied Mechanics, Proceedings of the ASME Conference on Boundary Integral Equation Methods. New York: ASME; 1985.
31. Rizzo FJ, Shippy DJ. Recent advances of the boundary element method in thermoelasticity. In: Banerjee PK, Butterfield R, editors. Developments in boundary element methods, vol. 1. London: Applied Science Publishers; 1979. p. 155-72.
32. Banerjee P.K., Butterfield R. Boundary element methods in engineering science. 1981;McGraw-Hill, London.
33. Brebbia C.A., Telles J.C.F., Wrobel L.C. Boundary element techniques. 1984;Springer, Berlin.
34. Sládek V., Sládek J. Boundary integral equation method in thermoelasticity, part I. general analysis Applied Mathematical Modeling. 7:1983;241-253.
35. El-Karamany A.S., Ezzat M.A. On the boundary integral formulation of thermo-viscoelasticity theory. International Journal of Engineering Science. 40:2002;1943-1956.
36. El-Karamany A.S. Boundary integral equation formulation in generalized linear thermo-viscoelasticity with rheological volume. Journal of Applied Mechanics, Transactions of ASME. 70(5):2003;661-667.
37. Sládek V., Sládek J. Boundary element method in micropolar thermoelasticity. Part I. boundary integral equations Engineering Analysis. 2(1):1985;40-50.
38. Sládek V., Sládek J. Boundary element method in micropolar thermoelasticity. Part II. boundary integro-differential equations Engineering Analysis. 2(2):1985;81-91.
39. Sládek V., Sládek J. Boundary element method in micropolar thermoelasticity. Part III. numerical solution Engineering Analysis. 2(3):1985;155-162.
40. Huang F.-.Y., Liang K.-.Z. Boundary element method for micropolar thermoelasticity. Engineering Analysis with Boundary Elements. 17(1):1996;19-26.
41. Sládek V., Sládek J. Application of local boundary integral equation method into micropolar elasticity. Engineering Analysis with Boundary Elements. 27(1):2003;89-90.
42. Jaswon M.A., Symm G.T. Integral equation methods in potential theory and elastostatics. 1977;Academic Press, London.
43. Eringen A.C. Mechanics of continua. 1967;Wiley, New York.
44. Eringen A.C., Suhubi E.S. Elastodynamics. 1975;Academic Press, New York.
45. Nowacki W. Dynamic problems of thermoelasticity. 1975;Noordhoff, Leiden, The Netherlands.
46. Morse P., Feshbach H. Methods of theoretical physics. 1953;McGraw-Hill, New York.
47. Chadwick P. Thermoelasticity, the dynamical theory. In: Sneddon IN, Hill R, editors. Progress in solid mechanics, vol. 1, Amsterdam: North-Holland; 1960 [Chapter vi]
48. El-Karamany A.S. The uniqueness and reciprocity theorems in generalized linear micropolar thermoviscoelasticity. International Journal of Engineering Science. 40(19):2002;2097-2117.