The analysis of the behavior crack in different materials

I. Hebbar, A. Boulenoaur, D. Ouinas, A. Hebbar

Abstract


Abstract: The aims of this study present a three-dimensional finite element method for the analysis of fractures in a mixed mode of two materials the Functionally Graded (FGM) and the composite materials. The modeling was carried out on a hull containing an inclined crack, provided by a fine mesh around these crack points due to singular elements. The structure is examined under the effect of transient thermal stresses. The singularity of the deformations around the crack front is simulated by singular elements. The stress intensity factors of modes I, II are calculated by applying the displacement extrapolation technique (DET) and presented as a function of time. The different types of FGM are examined in parametric analyzes which are rich in metals, rich in ceramics. The results provided illustrate the influences of the inclination angle of the cracks on the transient behavior of the stress intensity factors in mixed mode. The mechanical behavior of this material has been described by the exponential function The numerical evaluation of this factor is determined using the Numerical code.

Full Text:

PDF

References


Anlas, G.; Santare, M.H.; Lambros, J. Numerical calculation of stress intensity factors in functionally graded materials. International Journal of Fracture 104(2) (2000) 131–143.

Shiota, I.; Miyamoto, Y. Functionally graded materials. ELSEVIER SCIENCE B.V (1997).

Butcher, R.J.; Roussev, C-E. A functionally graded particulate composite, Preparation, measurements and failure analysis Vol. 47(1999) pp.259-268.

Erdogan, F.; Kaya, A. C.; Joseph, P. F. The crack problem in bonded nonhomogeneous materials. Applied mechanics transaction Journal of ASME vol. 58(1991) pp. 410-416,06.

Rousseau, C.-E.; Tippur, H. V. Evaluation of crack tip fields and stress intensity factors in functionally graded elastic materials: cracks parallel to elastic gradient International Journal of Fracture 114(2002)87- 112.

Ozturk, M.; Erdogan. Mode I crack problem in an inhomogeneous orthotropic medium”. International Journal of Engineering Science 35(1997) pp.869-883. pp. 438–443.

Alshoaibi Abdulnaser, M.; Ariffin, Ahmad Kamal. Finite element simulation of stress intensity factors in elastic-plastic crack growth. Universiiy Kebangsaan Malaysia. Journal Zhejiang Univ SCIENCE A ISSN (2006) 1862-1775.

Martınez-Paneda, E.; Gallego, R. Numerical analysis ofquasi-static fracture in functionally graded materials'' International Journal of Mechanics and Materials in Design 11:405–42. (2011).

Butcher, R.J.; Roussev, C-E. A functionally graded particulate composite, Preparation, measurements and failure analysis Vol. 47(1999) pp.259-268.

Sevcıka, M.; Hutara, b, P.; Nahlıka, L.; Knesla, b, Z. An evaluation of the stress intensity factor in functionally graded materials Applied and Computational Mechanics. 3(2009).401–410 .

Rice, J. R. "A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks", Journal of Applied Mechanics, 35, 1968, pp. 37986.

Lin, S. C.; Abel, J. E. Variational Approach for a New Direct Integration Form of the Virtual Crack Extension Method. International Journal for Numerical Methods in Engineering, Vol. 38. 1988. pp. 217-235.

Pengcheng, Fu.; Scott, M.; Johnson. Randolph, R.; Settgast. Charles, R.; Carrigan. Generalized displacement correlation method for estimating stress intensity factors, Engineering Fracture Mechanics 88 (2012) 90–107correlation method for estimating stress intensity factors, Engineering Fracture Mechanics 88 (2012) 90–107

Jeong-Ho, Kim.; Glaucio, H. Paulino, the interaction integral for fracture of orthotropic functionally graded materials: evaluation of stress intensity factors, International Journal of Solids and Structures 40 (2003) 3967–4001

Glossaire des matériaux composites- Carma- Actualisation octobre 2006.

Bhagwan, D.; Agarwal Lawrence, J.; Broutman and Chandrashekhara, K. Analysis and Performance of Fiber Composites. Wiley, USA, 3rd Edition, 2006.

Xuegang, J.; Yuyan, L.; Lan, L. Analysis of Mechanical Properties of carbon /Epoxy composites in the near critical Water decomposition. Misericordia University, Dallas (2013) PA 18612 USA

Geir Skeie.Forelesningsnotat i MEK4560 Elementmetoden i Faststoff mekanikk UiO, Oslo. (2007)

Boulenouar A.; Benseddiq, N.; Mazari, M. Strain energy density prediction of crack propagation for 2D linear elastic materials, Theoretical and Applied Fracture Mechanics, 67-68 (2013) 29-37.

Hebbar, I. Effect Of Inclined Cracks On The Buckling And Fracture Behavior Of Composite Materials, 4th International Symposium on Materials and Sustainable Development ISMSD2019, Boumerdes – Algeria.


Refbacks

  • There are currently no refbacks.