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Encyclopedia of Continuum Mechanics pp 1–8Cite as

Anisotropy of Linear Creep

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Synonyms

Anisotropic linear viscoelasticity; Generalized corresponding principle; Viscoelastic composite materials

Definitions

In general, two types of thermodynamic processes in materials can be distinguished: reversible or irreversible. Process is reversible if the material after unloading returns to the initial state, whereas it is irreversible if it does not return to its initial state, but to a changed state, where strains, stresses, and material properties differ from the initial ones. During irreversible processes, also called dissipative processes, the material suffers from various dissipative phenomena, such as plasticity, creep, damage, phase transformation, etc. that all result, locally or globally, in the material microstructure change (plastic microslips, or nucleation and growth of voids, or other) due to the internal energy dissipation. Only in the case of purely reversible process, after unloading, the material microstructure remains totally unchanged, what occurs in...

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References

  • Aboudi J, Arnold S, Bednarcyk B (2013) Micromechanics of composite materials. Elsevier, Amsterdam

    Google Scholar 

  • Alfrey T (1944) Non-homogeneous stresses in viscoelastic media. Quart Appl Math 2:113

    Article  MathSciNet  Google Scholar 

  • Alfrey T (1948) Mechanical behavior of high polymers. Interscience Publishers, New York

    Google Scholar 

  • Findley W, Lai J, Onaran K (1976) Creep and relaxation of nonlinear viscoplastic materials. North-Holland, Amsterdam

    MATH  Google Scholar 

  • Gan H, Orozco C, Herkovich C (2000) A strain-compatible method for micromechanical analysis of multi-phase composites. Int J Solids Struct 37: 5097–5122

    Article  Google Scholar 

  • Ganczarski A, Skrzypek J (2013) Mechanics of novel materials. Politechnika Krakowska, Kraków (in Polish)

    MATH  Google Scholar 

  • Haasemann G, Ulbricht V (2010) Numerical evaluation of the viscoelastic and viscoplastic behavior of composites. Technische Mechanik 30:122–135

    Google Scholar 

  • Hashin Z, Rosen B (1964) The elastic moduli of fiber-reinforced materials. J Appl Mech 31:223–232

    Article  Google Scholar 

  • Hoff N (1954) Approximate analysis of structures in the presence of moderately large creep deformations. Quart Appl Math 12:49

    Article  MathSciNet  Google Scholar 

  • Martin-Herrero J, Germain C (2007) Microstructure reconstruction of fibrous C/C composites from X-ray microtomography. Carbon 45:1242–1253

    Article  Google Scholar 

  • Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21:571–574

    Article  Google Scholar 

  • Paley M, Aboudi J (1992) Micromechanical analysis of composites by generalized method of cells. Mech Mater 14:127–139

    Article  Google Scholar 

  • Prager W (1957) Total creep under varying loads. J Aero Sci 24:153–155

    Google Scholar 

  • Shu L, Onat E (1967) On anisotropic linear viscoelastic solids. In: Proceedings of fourth symposium on naval structural mechanics. Pergamon Press, London, p 203

    Google Scholar 

  • Skrzypek J (1993) Plasticity and creep, theory, examples, and problems. Begell House/CRC Press, Boca Raton

    MATH  Google Scholar 

  • Skrzypek J, Ganczarski A (2015) Mechanics of anisotropic materials. Springer, Berlin

    Book  Google Scholar 

  • Sun C, Vaidya R (1996) Prediction of composite properties from a representative volume element. Compos Sci Technol 56:171–179

    Article  Google Scholar 

  • Tjong S, Ma Z (2000) Microstructural and mechanical characteristics of in situ metal matrix composite. Mater Sci Eng 3:49–113

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Cracow University of Technology, Kraków, Poland

    Artur Ganczarski & Jacek Skrzypek

Authors
  1. Artur Ganczarski
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  2. Jacek Skrzypek
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Corresponding author

Correspondence to Artur Ganczarski .

Editor information

Editors and Affiliations

  1. Otto-von-Guericke University Magdeburg, Chair of Engineering Mechanics, Institut, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät für Maschinenbau, Hochschule Esslingen, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

Section Editor information

  1. Institute of Applied Mechanics, Faculty of Mechanical Engineering, Cracow University of Technology (CUT), Cracow, Poland

    BłażCej Skoczeń

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Ganczarski, A., Skrzypek, J. (2019). Anisotropy of Linear Creep. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_183-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_183-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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