Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Anisotropy of Linear Creep

Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_183-1



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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  1. Aboudi J, Arnold S, Bednarcyk B (2013) Micromechanics of composite materials. Elsevier, AmsterdamGoogle Scholar
  2. Alfrey T (1944) Non-homogeneous stresses in viscoelastic media. Quart Appl Math 2:113MathSciNetCrossRefGoogle Scholar
  3. Alfrey T (1948) Mechanical behavior of high polymers. Interscience Publishers, New YorkGoogle Scholar
  4. Findley W, Lai J, Onaran K (1976) Creep and relaxation of nonlinear viscoplastic materials. North-Holland, AmsterdamzbMATHGoogle Scholar
  5. Gan H, Orozco C, Herkovich C (2000) A strain-compatible method for micromechanical analysis of multi-phase composites. Int J Solids Struct 37: 5097–5122CrossRefGoogle Scholar
  6. Ganczarski A, Skrzypek J (2013) Mechanics of novel materials. Politechnika Krakowska, Kraków (in Polish)zbMATHGoogle Scholar
  7. Haasemann G, Ulbricht V (2010) Numerical evaluation of the viscoelastic and viscoplastic behavior of composites. Technische Mechanik 30:122–135Google Scholar
  8. Hashin Z, Rosen B (1964) The elastic moduli of fiber-reinforced materials. J Appl Mech 31:223–232CrossRefGoogle Scholar
  9. Hoff N (1954) Approximate analysis of structures in the presence of moderately large creep deformations. Quart Appl Math 12:49MathSciNetCrossRefGoogle Scholar
  10. Martin-Herrero J, Germain C (2007) Microstructure reconstruction of fibrous C/C composites from X-ray microtomography. Carbon 45:1242–1253CrossRefGoogle Scholar
  11. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21:571–574CrossRefGoogle Scholar
  12. Paley M, Aboudi J (1992) Micromechanical analysis of composites by generalized method of cells. Mech Mater 14:127–139CrossRefGoogle Scholar
  13. Prager W (1957) Total creep under varying loads. J Aero Sci 24:153–155Google Scholar
  14. Shu L, Onat E (1967) On anisotropic linear viscoelastic solids. In: Proceedings of fourth symposium on naval structural mechanics. Pergamon Press, London, p 203Google Scholar
  15. Skrzypek J (1993) Plasticity and creep, theory, examples, and problems. Begell House/CRC Press, Boca RatonzbMATHGoogle Scholar
  16. Skrzypek J, Ganczarski A (2015) Mechanics of anisotropic materials. Springer, BerlinCrossRefGoogle Scholar
  17. Sun C, Vaidya R (1996) Prediction of composite properties from a representative volume element. Compos Sci Technol 56:171–179CrossRefGoogle Scholar
  18. Tjong S, Ma Z (2000) Microstructural and mechanical characteristics of in situ metal matrix composite. Mater Sci Eng 3:49–113CrossRefGoogle Scholar

Authors and Affiliations

  1. 1.Cracow University of TechnologyKrakówPoland

Section editors and affiliations

  • BłażCej Skoczeń
    • 1
  1. 1.Institute of Applied Mechanics, Faculty of Mechanical EngineeringCracow University of Technology (CUT)CracowPoland