On continuum modelling the interphase layers in certain two-phase elastic solids

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 77, Issue 7, 1997, Pages 519-526

  Dell'isola, F ^a   Wozniak, C ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b POLISH ACADEMY OF SCIENCES   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748054303     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19970770711     Document Type: Article

References (16)

1. COLLINS, C.; MITCHELL, L.: The computation of the austenitic-martensitic phase transition. In: PDEs and continuum models of phase transitions. Lecture Notes in Physics 344. Springer 1988, pp. 34-50.
2. JAMES, R.; KINDERLEHRER, D.: Theory of diffusionless phase transitions. Lecture Notes in Physics 344Ibid., pp. 51-84.
3. Ball, J. M.; James, R. D.: Fine phase mixtures as minimizers of energy. Arch. Rat. Mech. Anal. 100 (1987), 13-52.
4. WOZNIAK, M.; WOZNIAK, CZ.: Laminated media with interface defects. ZAMM 75 (1995) S I, 171-172.
5. WOZNIAK, CZ.: A nonstandard method of modelling of thermoelastic periodic composites. Int. J. Engng. Sci. 25 (1987), 483-498.
6. DELL'ISOLA, F.; KOSINSKI, W.: Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers. Arch. Mech. 145 (1993) 3, 333-359.
7. WOZNIAK, CZ.: Refined macro-dynamics of periodic structures. Arch. Mech. 45 (1993), 295-304.
8. RUBINSTEIN, L.: On mathematical models for solid-liquid zones in a two-phase monocomponent system and in binary alloys. In: FASANO, A.; PRIMICERIO, M. (eds.): Free and moving boundary problems: Theory and applications. Vol. I. Pitman Publisher 1983, pp. 275-283.
9. MILLER, C. A.; NEOGI, P.: Interfacial phenomena: Equilibrium and dynamic effects. Marcel Dekker NY 1987 (Surfactant Science Series, Vol. 17).
10. KOSINSKI, W.: Field singularities and wave analysis in continuum mechanics. Ellis Horwood Lmt Publishers. Chichester 1986.
11. DELL'ISOLA, F.; ROMANO, A.: A phenomenological approach to phase transition in classical field theory. Int. J. Engng. Sci. 25 (1987), 1469-1475.
12. DELL'ISOLA, F.; ROMANO, A.: On the derivation of thermomechanical balance equations for continuous systems with nonmaterial interface. Int. J. Engng. Sci. 25 (1987), 1459-1468.
13. TRUESDELL, C.: Rational continuum mechanics. Academic Press, New York 1977.
14. BAKHVALOV, N. S.; PANASENKO, G. P.: Processes averaging in periodic media (in Russian). Nauka, Moscow 1984.
15. BENSOUSSAN, A.; LIONS, J. L.; PAPANICOLAU, G.: Asymptotic analysis for periodic structures. North Holland, Amsterdam.
16. SUN, C. T.; ACHENBACH, J. D.; HERRMANN, G.: Time-harmonic waves in a stratified medium propagating in the direction of the layering. J. Appl. Mech. 35 (1968), 408-411.