On applications of the microlocal parameter method in modelling of temperature distributions in composite cylinders

Archive of Applied Mechanics

Volumn 68, Issue 5, 1998, Pages 297-307

  Matysiak, S J ^a   Pauk, V J ^a   Yevtushenko, A A ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

Author keywords

Composite; Heat conduction; Homogenization; Microperiodic structure; Stratified medium

Indexed keywords

COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; CYLINDERS (SHAPES); HEAT CONDUCTION; MATHEMATICAL MODELS; NUMERICAL METHODS;

HOMOGENIZATION; MICROLOCAL EFFECTS; MICROLOCAL PARAMETER METHOD;

TEMPERATURE DISTRIBUTION;

EID: 0032075348     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050166     Document Type: Article

References (19)

1. Achenbach J. D.: A theory of elasticity with microstructure for directionally reinforced composites. CISM Courses and Lectures No. 167. New York: Springer 1975
2. Bakhvalov, N. S.; Panasenko, G. P.: Averaged processes in periodic media (in Russian). Moscow: Nauka (1984)
3. Bensoussan, A.; Lions, J. L.; Papanicolaou, G.: Asymptotic analysis for periodic structures. Amsterdam: North Holland 1978
4. Christensen, R. M.: Mechanics of composite materials. New York: J. Wiley and Sons 1980
5. Gradshtein, I. S.; Ryzhik, I. M.: Tables of integrals, sum, series and products (in Russian). Moscow: Science 1971
6. Guz, A. N. et al.: Mechanics of composite materials and elements of constructions (in Russian). Kiev: Naukova Dumka 1982
7. Jones, R.: Mechanics of composite materials. New York: McGraw-Hill Book Co. 1975
8. Matysiak, S. J.: On the microlocal parameter method in modelling of periodically layered thermoelastic composites. J. Theor. Appl. Mech. 2, 33 (1995) 481-487
9. Matysiak, S. J.; Woźniak, C.: On the modelling of heat conduction problem in laminated bodies. Acta Mech. 65 (1986) 223-238
10. Matysiak, S. J.; Wagrowska, M.: Certain axially-symmetric problems of heat conduction in laminated bodies. Bull. Polish Acad. Sci. Tech. Sci. 35 (1987)
11. Ozisik, M. N.: Heat conduction. New York; Wiley-Interscience Publ. 1980
12. Sanchez-Palencia, E.: Nonhomogenous media and vibration theory. Berlin: Springer 1980
13. Thomas, D. L.: Standing waves in rotationally periodic structures. J. Sound Vib. 37 (1974) 288-290
14. Tsai S. W.; Hahn, H. T.: Introduction to composite materials. Westport: Technomic Publ. Comp. 1980
15. Wildheim, J.: Excitation of rotationally periodic structures. Trans. ASME, J. Appl. Mech. 46 (1979) 878-882
16. Wojnar, R.: Thermoelasticity and homogenization. J. Theor. Appl. Mech. 2, 33 (1995) 323-335
17. Woźniak, C.: A nonstandard method of modelling of thermoelastic periodic composites. Int. J. Eng. Sci. 25 (1987) 483-499
18. Wozniak, C.: Microdynamics: continuum modelling the simple composite materials. J. Theor. Appl. Mech. 2, 33 (1995) 267-289
19. Woźniak, C.; Woźniak, M.: Modelling in dynamics of composites. Theory and applications. JFTR Reports 25 (1995)