Abstract
Two major levels of complexity are discussed in a way of understanding the structure and processes that define an auxetic system. The auxeticity and structural complexity is interpreted in the light of Cosserat elasticity which admits degrees of freedom not present in classical elasticity, i.e. the rotation of points in the material, and a couple per unit area or the couple stress. The Young modulus evaluation for a laminated periodic system made up of alternating aluminum and an auxetic material is an example of computing complexity.
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References
Love AEH (1926) A treatise on the mathematical theory of elasticity. 4th ed., Dover, New York
Lakes RS (1991) Experimental micro mechanics methods for conventional and negative Poisson's ratio cellular solids as Cosserat continua. J Eng Mater Technol 113:148–155
Lakes RS (1987) Foam structures with a negative Poisson's ratio. Science 235:1038–1040
Lakes RS (1986) Experimental microelasticity of two porous solids. Int J Solids Struct 22:55–63
Chiroiu V (2004) Identification and inverse problems related to material properties and behaviour. In: Chiroiu V, Sireteanu T (eds) Topics in Applied Mechanics. Ed. Academiei Bucharest, 1:83–126
Cosserat E and F (1909) Theorie des Corps Deformables. Hermann et Fils, Paris
Hlavacek M (1975) A continuum theory for fibre reinforced composites. Int J Solids Struct 11:199–211
Hlavacek M (1975) On the effective moduli of elastic composite materials. Int J Solids Struct 12:655–670
Berglund K (1982) Structural models of micropolar media. Mechanics of Micropolar Media, World Scientific, Singapore
Eringen AC (1968) Theory of micropolar elasticity. In: Liebowitz R (ed) Fracture. Academic Press, 2:621–729
Mindlin RD (1964) Microstructure in linear elasticity. Arch Rat Mech Anal 16:51–78
Mindlin RD (1965) Stress functions for a Cosserat continuum, Int J Solids Struct 1:265–271
Gauthier RD (1982) Experimental investigations on micropolar media. Mechanics of Micropolar Media, World scientific, pp 395–463
Teodorescu PP, Munteanu L, Chiroiu V (2005) On the wave propagation in chiral media. New Trends in Continuum Mechanics, Ed. Thetha Foundation, Bucharest, pp 303–310
Teodorescu PP, Badea T, Munteanu L, Onisoru J (2005) On the wave propagation in composite materials with a negative stiffness phase. New Trends in Continuum Mechanics, Ed. Thetha Foundation, Bucharest, pp 295–302
Bécus GA (1979) Homogenization and random evolutions: Applications to the mechanics of composite materials. Q Appl Math XXXVII(3):209–217c
Acknowledgement
The authors acknowledge the financial support of the National University Research Council (NURC-CNCSIS) Romania, Grant nr. 55/2007 and Postdoctoral CEEX Grant nr. 1531/2006.
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Munteanu, L., Dumitriu, D., Donescu, Ş., Chiroiu, V. (2009). On the Complexity of the Auxetic Systems. In: Mastorakis, N., Mladenov, V., Kontargyri, V. (eds) Proceedings of the European Computing Conference. Lecture Notes in Electrical Engineering, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-85437-3_65
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DOI: https://doi.org/10.1007/978-0-387-85437-3_65
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