Efekty skali w dynamice periodycznych kompozytów

Woźniak, C.

Artykuł - szczegóły

Tytuł artykułu

Efekty skali w dynamice periodycznych kompozytów

Autorzy

Woźniak C.

Wybrane pełne teksty z tego czasopisma

http://www.vibsys.put.poznan.pl

Identyfikatory

Warianty tytułu

Length-scale effects in macrodynamics of periodic composite materials

Języki publikacji

Abstrakty

The aim of the lecture is to formulate the averaged equations of elastodynamics for periodic composite materials which in the framework of the long-wave approximation describe the effect of unit cell size on the dynamic solid response.

Słowa kluczowe

periodic composites length-scale effect elastodynamics of composities

kompozyty periodyczne efekt skali dynamika kompozytu

Wydawca

Poznan University of Technology. Institute of Applied Mechanics

Czasopismo

Vibrations in Physical Systems

Rocznik

1998

Tom

Vol. 18

Strony

47--54

Opis fizyczny

Bibliogr. 41 poz.

Twórcy

autor

Woźniak C.

Institute of Mathematics and Computer Science, Częstochowa University of Technology, ul. Dąbrowskiego 69, 42-200 Częstochowa, Poland

Bibliografia

1. J. Aboudi, Mechanics of composite materials: a unified micromechanical approach, Elsevier, Amsterdam, 1991
2. J. D. Achenbach, G. Hermann, Wave motions in solids with laminar structuring, „Dynamics of Structured Solids” (ed. G. Hermann), Am. Soc. Mech. Eng., N. York, 1968
3. N. S. Bakhvalov, G. P. Panasenko, Osredmerde processov v periodiceskich sredach, Nauka, Moskva, 1984
4. E. Baron, C. Woźniak, On the microdynamics of composite plates, Arch. Appl. Mech., 66, 1995, 126-133
5. A. Bensoussan, J. L. Lions, G. Papanicolaou, Asymptotic analysis for periodic structures, North-Holland, Amsterdam,1978
6. I. Cielecka, On the continuum modelling the dynamic behaviour of certain composite lattice-type structures, J. Theor. Appl. Mech., 33, 1995, 351-360
7. В. D. Coleman, M. E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys., 47, 1967, 597-613
8. F. Dell’Isola, L. Rosa, C. Woźniak, Dynamics of solids with micro-periodic non-connected fluid inclusions, Arch. Appl. Mech., 67,1997, 215-228
9. G. A. Hegender, On a theory of interacting continua for wave propagation in composites, “Dynamics of Composite Materials ” (ed. E. H. Lee), Am. Soc. Mech. Eng., New York, 1972
10. J. Jędrysiak, C. Woźniak, On the elastodynarrti.es of thin microperiodic plates, J. Theor. Appl. Mech., 33, 1995, 337-350
11. V.V. Jikov, S.M. Kozlov, O.A. Oleinik, Homogenization of differential operators and integral functionals, Springer-Verlag, Berlin, 1994
12. R. Jones, Mechanics of composite materials, McGraw-Hill, New York, 1972
13. S. Konieczny, M. Woźniak, On the wave propagation in fibre-reinforced composites, J. Theor. Appl. Mech., 33,1995, 375-384
14. T. Lewiński, St. Kucharski, A model with length scales for composites with periodic structure, Part I, Comp. Mechanics, 9, 1992, 249-265
15. A. Maewal, Construction of models of dispersive elastodynamic behaviour of periodic composites: a computational approach, Comp. Meth. Appl. Mech. Eng., 57, 1986, 191
16. S. J. Matysiak, W. Nagórko, On the wave propagation in periodically laminated composites, Bull. Pol. Ac. Sei.: Tech. Sei., 43, 1995, 1-12
17. S.J. Matysiak, C. Woźniak, Micromorphic effects in a modelling of periodic multilayered elastic composites. Int. J. Engng Sei., 25, 1987, 549-551
18. К. Mazur-Śniady, Macro-dynamics of micro-periodic elastic beams, J. Theor. Appl. Mech., 31, 1993, 781-793
19. В. Michalak, C. Woźniak, M. Woźniak, The dynamic modelling of elastic wavy-plates, Arch. Appl. Mech., 66, 1996, 177-186
20. G. Mielczarek, C. Woźniak, On the dynamic modelling of fibrous composites, J. Tech. Phys., 36, 1995, 103-111
21. G. Mielczarek, C. Woźniak, On the micro-dynamics of composite materials, J. Theor. Appl. Mech., 33, 1995, 731-745
22. R. D. Mindlin, Microstructure in linear elasticity, Arch. Rat. Mech. Anal., 16, 1964,51-78
23. S. Nemat-Nasser, M. Hori, Micromechanics: overall properties of heterogeneous materials, North-Holland, Amsterdam, 1993
24. С. Т. Sun, J. D. Achenbach, G. Hermann, Time-harmonic waves in a strattfied medium propagating in the direction of the layering, J. Appl. Mech., 35, 1968, 408-411
25. H. F. Tiersten, M. Jahanmir, The theory of composites modelled as interpenetrating solid continua, Arch. Rat. Mech. Anal., 65, 1977, 153-192
26. M. Wągrowska, C. Woźniak, Macro-modelling of dynamic problems for viscoelastic composite materials, Int. J. Engng. Sei., vol. 34, 1996, 923-932
27. E. Wierzbicki, On the wave propagation in micro-periodic elastic media, Bull. Ac. Pol. Sei.: Tech. Sei., 41, 1993, 323-327
28. E. Wierzbicki, Nonlinear macro-micro dynamics of laminated structures, J. Theor. Appl. Mech., 33, 1995, 291-307
29. E. Wierzbicki, C. Woźniak, M. Woźniak, Finite rotations in the refined macrodynamics of elastic composites, J. Theor. Appl. Mech., 33, 1995, 15-25
30. E. Wierzbicki, C. Woźniak, M. Woźniak, Thermal stresses in nonstationary problems for composite materials, Int. J. Engng. Sei., 35,1997, 187-196
31. C. Woźniak, A nonstandard method of modelling of thermo-elastic periodic composites, Int. J. Engng Sei., 25,1987, 133-141
32. C. Woźniak, Refined macrodynamics of periodic structures, Arch. Mech., 45, 1993, 295-304
33. C. Woźniak, Micro-macro dynamics of periodic material structures, in: Structural Dynamics, Eurodyn’93, Balkema, Rotterdam, 1993, 573-575
34. C. Woźniak, Nonlinear macro-elastodynamics of microperiodic composites, Bull. Ac. Pol. Sei.: Tech. Sei., 41, 1993, 315-321
35. C. Woźniak, Microdynamics: continuum modelling the simple composite materials, J. Theor. Appl. Mech., 33, 1995, 267-289
36. C. Woźniak, Internal variables in dynamics of composite solids with periodic microstruture, Arch. Mech., 49, 1997, 421-441
37. C. Woźniak, M. Woźniak, An internal variable modelfor the dynamic response of composites with periodic microstructure, J. Phys. IV France7, 1997, (C3)833-(C3)840
38. C. Woźniak, M. Woźniak, On the micro-modelling of dynamic response for thermo-elastic periodic composites, in: Proc. IUТАМ Symp. “Microstructure Property Interactions in Composite Materials”, Aalborg, 1994, 387-395
39. C. Woźniak, M. Woźniak, On the description of dynamic behaviour for micro- periodic solids Phys. Chem. Mech. of Materials, 33, 1997, 23-36
40. M. Woźniak, On the dynamic behaviour of micro-damaged stratified media, Int. J. Fract., 73, 1995, 223-232
41. M. Woźniak, 2D dynamics of a stratified elastic subsoil layer, Arch. Appl. Mech., 66, 1996, 284-290

Typ dokumentu

Bibliografia

Identyfikator YADDA

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