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Simple shear test in identification of constitutive behaviour of materials submitted to large deformations - hyperelastic materials case

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The present work is directed at evaluation of the simple shear test for identification of constitutive behaviour of materials submitted to large deformations. For that purpose, actual experimental conditions together with theoretical background of the test are analyzed on the example of two hyperelastic material models. Advantages and disadvantages of various strain and stress measures used for presentation of simple shear test (SST) results are analyzed. The most often presented as the only result of "standard" SST proof chart, i.e. shear nominal stress - shear nominal strain (?12(N) - ?/2), characterizes the material energetically in the sense that it reveals its capacity for elastic energy storage dW/V0 = ?12(N) d?. However, it characterizes the constitutive behaviour of the material only partially, since it is equivalent to shear II Piola Krichoff stress - shear Green-Lagrange strain (?21(2) - E21(2)) chart, within the large deformations context. This data alone does not even allow to reconstruct the shear Cauchy stress - shear spatial Hencky strain (?12(0) - e12(0)) chart for the tested material. In order to take full advantage of the constitutive information available from simple shear test, it is highly recommended to extend the experimental methodology of "standard" SST proof in such a way as to determine simultaneously two components (shear and normal) of nominal stress tensor in the same SST proof. Such experimental information allows for subsequent recalculation of non-symmetric nominal stress tensor components into Cauchy stress components.
Rocznik
Strony
251--269
Opis fizyczny
Bibliogr. 7 poz., rys., tab., wykr.
Twórcy
  • Institute of Fundamental Technological Research Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
  • 1. O.T. BRUHNS, H. XIAO, A. MEYERS, Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate, Int. J. Plasticity, 15, 479-520, 1999.
  • 2. J. DIENES, A discussion of material rotation and stress rate, Acta Mech., 65, 1-11, 1987.
  • 3. J.C. GARDINER, J.A. WEISS, Simple shear testing of parallel-fibered planar soft tissues, ASME J. Biom. Engn., 123, 170-175, 2001.
  • 4. C. G'SELL, S. BONI, Application of the plane simple shear test for determination of the plastic behaviour of solid polymers at large strains, J. Mat. Sci., 18, 903-918, 1983.
  • 5. HILL, Aspects of invariance in solid mechanics, Adv. Appl. Mech., 18, 1-75, 1978.
  • 6. KLEPACZKO, V. NGUYEN, W. NOWACKI, Quasi-static and dynamic shearing of sheet metals, Eur. J. Me&A/Solids., 18, 271-289, 1999.
  • 7. R. OGDEN, Nonlinear elastic deformations, Ellis Horwood, Chichester 1984.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0023-0006
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