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On the Damage in Nonlinear Mesoscopic Materials

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Proceedings of the European Computing Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 28))

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Abstract

This paper is devoted to the analysis of the damage in nonlinear mesoscopic materials, which are aggregates of grains which act as rigid vibrating units, while the contacts between them – the bond system – constitute a set of interfaces that control the behaviour of the material. The interfaces are mesoscopic, with a typical size of one micrometer. A constitutive micropolar model for material interfaces is presented. The model is based on damage coupled to plastic or viscoplastic slip, stick and dilatation (separation), and it is able to describe the succesive degradation and failure of an interface.

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References

  1. Guyer RA, McCall KR, Boitnott GN (1995) Hysteresis, discrete memory, and nonlinear wave propagation in rock. Phys Rev Lett 74:3491–3494

    Article  Google Scholar 

  2. Guyer RA, Johnson PA (1999), Nonlinear mesoscopic elasticity: Evidence for a new class of materials. Physics Today

    Google Scholar 

  3. Cannmo P (1997) A damage based interface model: Application to the degradation and failure of a polycrystalline microstructure. Chalmers Univ. of Techn., Div. of Solid Mechanics, Göteborg, Sweden, pp 1–64

    Google Scholar 

  4. Kachanov LM (1958) Time of the rupture process under creep conditions. Izv Akad, SSSR, Otd. Tech Nauk 8:26–31

    Google Scholar 

  5. Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. ASME, J Eng Mater Technol 107:83–89

    Article  Google Scholar 

  6. Lemaitre J (1990) Micromechanics of crack initiation. Int J Fracture 42:87–99

    Article  Google Scholar 

  7. Eringen AC (1966) Linear theory of micropolar elasticity. J Math Mech 15:909–924

    MATH  MathSciNet  Google Scholar 

  8. Eringen AC (1968) Theory of micropolar elasticity. In: Liebowitz R (ed) Fracture, vol 2. Academic Press, New York, pp 621–729

    Google Scholar 

  9. Mindlin RD (1964) Microstructure in linear elasticity. Arch Rat Mech Anal 16:51–78

    Article  MATH  MathSciNet  Google Scholar 

  10. Kröner E (1963) On the physical reality of torque stresses in continuum mechanics. Int J Engng Sci 1:261–278

    Article  Google Scholar 

  11. Berglund K (1982) Structural models of micropolar media. In: Mechanics of Micropolar Media, World Scientific, Singapore

    Google Scholar 

  12. Gauthier RD (1962) Experimental investigations on micropolar media. In: Brulin O, Hsieh RKT (eds) Mechanics of Micropolar Media. World Scientific, Singapore, pp 395–463

    Google Scholar 

  13. Lakes RS (1986) Experimental microelasticity of two porous solids. Int J Solids, Struct 22:55–63

    Article  Google Scholar 

  14. Badea T, Chiroiu C, Soare M, Chiroiu V (2000) The inverse problem of micro-defects identification. Rev Roum Sci Techn 45(1):31–39

    Google Scholar 

  15. Badea T, Nicolescu M (2004) A Preisach model of hysteretic behavior of nonlinear elastic materials. In: Chiroiu V, Sireteanu T (eds) Topics in Applied Mechanics. Ed. Academiei, Bucharest, 1:1–25

    Google Scholar 

  16. 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

    Google Scholar 

  17. 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

    Google Scholar 

  18. Teodorescu PP, Badea T, Munteanu L, Onişoru 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

    Google Scholar 

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Acknowledgment

The authors acknowledge the financial support of the CEEX postdoctoral grant 1531/2006. Best thanks are presented also to Professor Pier Paolo Delsanto and to Dr. Marco Scalerandi (Dipartimento di Fisica, Politecnico di Torino) for the important suggestions and discussions in the field of this topic.

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Authors and Affiliations

  1. Institute of Solid Mechanics, Ctin Mille 15, Bucharest, 010141, Romania

    Veturia Chiroiu

  2. Continuum Mechanics Department, Institute of Solid Mechanics, Bucharest, 010141, Romania

    Dan Dumitriu

  3. Institute of Solid Mechanics, Romanian Academy, Bucharest, 010141, Romania

    Ana Maria Mitu, Daniel Baldovin & Cornel Secara

Authors
  1. Veturia Chiroiu
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  2. Dan Dumitriu
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  3. Ana Maria Mitu
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  4. Daniel Baldovin
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  5. Cornel Secara
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Editor information

Editors and Affiliations

  1. Military Institutes of University, Hellenic Naval Academy, Leoforos Chatzikyriakou, Piraeus, 185 39, Greece

    Nikos Mastorakis

  2. Dept. Theoretical Electrical, Technical University of Sofia, Kl. Ohridski St. 8, Sofia, 1000, Bulgaria

    Valeri Mladenov

  3. Roumelis 6, Vrilissia, 152 35, Greece

    Vassiliki T. Kontargyri

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© 2009 Springer Science+Business Media, LLC

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Chiroiu, V., Dumitriu, D., Mitu, A.M., Baldovin, D., Secara, C. (2009). On the Damage in Nonlinear Mesoscopic Materials. 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_41

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  • DOI: https://doi.org/10.1007/978-0-387-85437-3_41

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-84818-1

  • Online ISBN: 978-0-387-85437-3

  • eBook Packages: EngineeringEngineering (R0)

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