Tetragonal or Hexagonal Symmetry in Modeling of Failure Criteria for Transversely Isotropic Materials

Artur Ganczarski; Michał Adamski

doi:10.2478/ama-2014-0022

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Tetragonal or Hexagonal Symmetry in Modeling of Failure Criteria for Transversely Isotropic Materials

Acta Mechanica et Automatica

Volume 8 (2014): Issue 3 (September 2014)

By: Artur Ganczarski and Michał Adamski

Open Access

|Dec 2014

Abstract

Present work deals with modeling of failure criteria for transversely isotropic materials. Analysis comprises two classes of symmetry: Tsai-Wu tetragonal and new Tsai-Wu based hexagonal. Detail analysis of both classes of symmetry with respect to their advantages as well as limitations is presented. Finally, simple comparison of differences between limit curves corresponding to cross sections by planes of transverse isotropy, orthotropy and shear plane is done.

References

1. Cazacu O., Barlat F. (2004), A criterion for description of anisotropy and yield differential effects in pressure-insensitive materials, International Journal of Plasticity, 20, 2027-2045.10.1016/j.ijplas.2003.11.021
Search in Google Scholar
2. Chen W.F., Han D.J. (1995), Plasticity for Structural Engineeres, Springer Verlag, Berlin-Heidelberg.
Search in Google Scholar
3. Ganczarski A., Skrzypek J. (2013), Mechanics of novel materials, Wydawnictwo Politechniki Krakowskiej (in Polish).
Search in Google Scholar
4. Ganczarski A., Skrzypek J. (2014), Constraints on the applicability range of Hill's criterion: strong orthotropy or transverse isotropy, Acta Mechanica, 225, 2563−2582.10.1007/s00707-014-1089-1
Search in Google Scholar
5. Goldenblat I. I. Kopnov, V. A. (1966): A generalized theory of plastic flow of anisotropic metals, Stroitielnaya Mekhanika, 307-319, (in Russian).
Search in Google Scholar
6. Hill R. (1948), A theory of the yielding and plastic flow of anisotropic metals, Proceedings of Royal Society, London, A193, 281−297.10.1098/rspa.1948.0045
Search in Google Scholar
7. Hosford W. F., Backofen W. A. (1964), Strength and plasticity of textured metals, in W. A. Backhofen, J. Burke, L. Coffin, N. Reed and V. Weisse (eds), Fundamentals of deformation processing, Syracuse University Press, 259-298.
Search in Google Scholar
8. Khan A. S., Kazmi R., Farrokh B. (2007), Multiaxial and nonproportional loading responses, anisotropy and modeling of Ti-6Al-4V titanium alloy over wide ranges of strain rates and temperatures, International Journal of Plasticity, 23, 931-950.10.1016/j.ijplas.2006.08.006
Search in Google Scholar
9. Murakami S. (2012), Continuum Damage Mechanics, Springer Verlag, Berlin.10.1007/978-94-007-2666-6
Search in Google Scholar
10. Ottosen N. S., Ristinmaa M. (2005), The mechanics of constitutive modeling. Elsevier, Amsterdam.
Search in Google Scholar
11. Ralson T.D. (1997), Yield and plastic deformation of ice crushing failure, ICSLAIDJEX Symposium on Sea Ice-Processes and Models, Seattle, Washington.
Search in Google Scholar
12. Sayir M. (1970), On yield condition in theory of plasticity, Ingenieurarchiv, 39, 414-432 (in German).10.1007/BF00538762
Search in Google Scholar
13. Tsai S. T., Wu E. M. (1971), A general theory of strength for anisotropic materials, Journal of Composite Materials, 5, 58-80.10.1177/002199837100500106
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/ama-2014-0022 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

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Language: English

Page range: 125 - 128

Published on: Dec 20, 2014

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Transverse Isotropy,

Tetragonal and Hexagonal Symmetry,

Tsai-Wu Criterion

Related subjects:

Engineering,

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2014 Artur Ganczarski, Michał Adamski, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 8 (2014): Issue 3 (September 2014)