Verification of Brittle Fracture Criteria for Bimaterial Structures

Grzegorz Mieczkowski; Krzysztof Molski

doi:10.2478/ama-2014-0008

.blurhash-client-img { display: none !important; }

Verification of Brittle Fracture Criteria for Bimaterial Structures

Acta Mechanica et Automatica

Volume 8 (2014): Issue 1 (March 2014)

By: Grzegorz Mieczkowski and Krzysztof Molski

Open Access

|Jul 2014

Abstract

The increasing application of composite materials in the construction of machines causes strong need for modelling and evaluating their strength. There are many well known hypotheses used for homogeneous materials subjected to monotone and cyclic loading conditions, which have been verified experimentally by various authors. These hypotheses should be verified also for composite materials. This paper provides experimental and theoretical results of such verifications for bimaterial structures with interfacial cracks. Three well known fracture hypotheses of: Griffith, McClintock and Novozhilov were chosen. The theoretical critical load values arising from each hypotheses were compared with the experimental data including uni and multi-axial loading conditions. All tests were carried out with using specially prepared specimens of steel and PMMA.

References

1. Chen D.H. (1992), Analysis for corner singularity in composite materials based on the body force method. Computational Methods in Fracture Mechanics, Fatigue and Fracture Mechanics, Comp. Mech. Publ., Southampton, 397-421.
Search in Google Scholar
2. Erdogan F. (1963), Stress Distribution in a Non-homogeneous Elastic Plane with Cracks, Trans. ASME, Ser. E, J. Applied Mechanics, 30, 232-236.10.1115/1.3636517
Search in Google Scholar
3. Griffith A.A. (1920), The phenomena of rupture and flow In solids, Philosophical Transactions, series A, Vol. 221, 163-198.
Search in Google Scholar
4. McClintock F. A. (1958), Ductile fracture instability in shear, Trans. ASME, J. Appl. Mech., Vol. 25, 582-588.
Search in Google Scholar
5. Mieczkowski G., Molski K. (2005), Stress field singularities for reinforcing fibre with single lateral crack, Solid Mechanics and Its Applications, Springer Verlag, 135, 185-192.10.1007/1-4020-4566-2_21
Search in Google Scholar
6. Mieczkowski G., Molski K. (2009), Energy Release Rate G as a Fracture Parameter of a Bi-Material Structure Steel-Pmma with Interfacial Crack, Acta Mechanica et Automatica, Vol.3, nr 2, 52-54 (in polish).
Search in Google Scholar
7. Mieczkowski G., Molski K., Seweryn A. (2007), Finite element modelling of stresses and displacements near the tips of pointed inclusions, Materials Science, Vol. 42, 183-194.
Search in Google Scholar
8. Molski K, Mieczkowski G. (2008), Multiple stress field singularities for cracks described by real and complex exponents, Machine Dynamics Problems, Vol.32, nr 3, 72-79.
Search in Google Scholar
9. Molski K.L. Mieczkowski G. (2004), Local displacement effects in the vicinity of interfacial crack tip, Fracture Mechanics of Materials and Structural Integrity, Academician of NASU V.V. Panasyuk, 325-331
Search in Google Scholar
10. Murakami Y. ed. (1987), Stress Intensity Factors Handbook, Pergamon Press.
Search in Google Scholar
11. Novozhilov V. V. (1969), On necessary and sufficient criterion of brittle fracture, Prikl. Mat. Mech., Vol. 33, 212-222 (in Russian).10.1016/0021-8928(69)90025-2
Search in Google Scholar
12. Rice J.R., Sih G.C. (1965), Plane Problems of Cracks in Dissimilar Media. Trans. ASME, Ser. E, J. Applied Mech., Vol. 32, 418-423.
Search in Google Scholar
13. Ritchie R. O. (1973), Knott J. F., Rice J. R., On the relation between critical tensile stress and fracture toughness in mild steel, J. Mech. Phys. Solids, Vol. 21, 395-410.10.1016/0022-5096(73)90008-2
Search in Google Scholar
14. Salganik R.L. (1948), The Brittle Fracture of Cemented Bodies, Prokl. Mat. Mech., 27.
Search in Google Scholar
15. Seweryn A, Łukaszewicz A. (2002), Verification of brittle fracture criteria for elements with V-shaped notches, Engineering Fracture Mechanics, 691487-1510.10.1016/S0013-7944(01)00138-2
Search in Google Scholar
16. Seweryn A., Mróz Z. (1998), On the criterion of damage evolution for variable multiaxial stress states, International Journal Solid Structures, Vol. 35, 1589-1616.
Search in Google Scholar
17. Wen S., Chung D.D.L. (1999), Seebeck effect in carbon fiber reinforced cement, Cement and Concrete Research, 29, 1989.10.1016/S0008-8846(99)00185-4
Search in Google Scholar
18. Williams M.L. (1959), The Stresses around a Fault or Crack in Dissimilar Media, Buli Seismol. Soc. Amer., 49, 199-204
Search in Google Scholar
19. Willis J.R. (1971), Fracture Mechanics of Interfacial Cracks, J. Mech. And Phys. Solids, Vol. 19, 353-368.10.1016/0022-5096(71)90004-4
Search in Google Scholar
20. Wojciechowski S., Kapuściński J., Puciłowski K. (1993), Composites: fundamentals of design and manufacturing, OWPW (in polish)
Search in Google Scholar
21. Woźniak Cz. (1987), Nonstandard analysis and microlocal effects in the multilayered bodies, Bull. Pol. Ac.: Tech., 34, 385-392.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/ama-2014-0008 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088

Journal RSS Feed

Language: English

Page range: 44 - 48

Published on: Jul 2, 2014

Published by: Bialystok University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Related subjects:

Electrical engineering,

Electronics,

Mechanical engineering,

Mechanics,

Bioengineering and biomedical engineering,

Biomechanics,

Civil engineering,

Environmental engineering

© 2014 Grzegorz Mieczkowski, Krzysztof Molski, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 8 (2014): Issue 1 (March 2014)