Stress intensity factors for three-dimensional cracks in functionally graded materials using enriched finite elements

Ayhan, Ali O.

doi:10.1016/j.ijsolstr.2007.06.022

Cited by 58 publications

(19 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar reduction in the SIF near the intersection of the crack front and the free surface has been reported for surface cracks in graded plates by Ayhan (2007). This behavior of SIF is attributed to the existence of the corner singular stress field near the intersection of the crack front and the free surface (Benthem, 1977) and will be discussed in detail in the next section.…”

Section: Comparison Of Experimental Theoretical and Fe Resultssupporting

confidence: 73%

“…Such a situation also exists for semi-elliptical surface cracks in plates graded along the thickness and this problem has been studied in detail by Ayhan (2007Ayhan ( , 2008, Walters et al (2004) and Yildirim et al (2005) using finite element method. Walters et al (2006) have thoroughly explained the application of two-state interaction integral method to calculate mixed-mode stress intensity factor for three dimensional cracks in graded materials.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental and numerical investigation of a cracked transversely graded plate subjected to in plane bending

Kommana

Parameswaran

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tThe variation of stress intensity factor along the thickness in a cracked transversely graded plate subjected to in plane bending is investigated in this study. A transversely graded plate having elastic modulus varying continuously along the thickness was prepared by embedding glass beads in epoxy resin. An edge crack in this plate was subjected to in plane bending and the crack tip displacement field on the surfaces of the plate was measured using digital image correlation (DIC). Using the recently reported asymptotic displacement fields for cracked transverselty graded plates (Wadgaonkar, S.C., Parameswaran, V., 2009. Structure of near tip stress field and variation of stress intensity factor for a crack in a transversely graded material, Journal of Applied Mechanics 76 (1), 011014), the stress intensity factor (SIF) on the surfaces of the plate was calculated from the experimental data. The results of this part of the study indicated that the extent of variation of the SIF across the plate thickness is nearly the same as that of the elastic modulus. An expression to calculate the variation of the SIF through the plate thickness was developed assuming simple bending of the plate. The predicted variation of SIF was verified through finite element calculations. Further, the behavior of the SIF near the intersection of the crack front and the plate surfaces, the extent of dominance of the corner singular field and the exponent of the corner singularity were also investigated in detail. Finally, the effect of gradation strength and gradation type on the SIF was also studied.

show abstract

Section: Comparison Of Experimental Theoretical and Fe Resultssupporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation of a cracked transversely graded plate subjected to in plane bending

Kommana

Parameswaran

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…The thermal conductivity and the specific heat at constant pressure of FGMs vary gradually along the x direction. The variations of them have an exponential form [20][21][22], namely,…”

Section: Thermodynamic Equation Of Thermal Wave Propagation and Its Smentioning

confidence: 99%

Multiple Scattering of Thermal Waves from a Subsurface Cylindrical Inclusion in Semi-infinite Functionally Graded Materials Using Non-Fourier Model

et al. 2009

View full text Add to dashboard Cite

In this study, a theoretical method is applied to investigate the multiple scattering of thermal waves and temperature field resulting from a subsurface cylindrical inclusion in a semi-infinite functionally graded material (FGM). The adiabatic boundary condition at the semi-infinite surface is considered. The thermal waves are excited at the surface of semi-infinite functionally graded materials by modulated optical beams. The model includes the multiple scattering effects of the cylindrical thermal wave generated by the line heat source. According to the wave equation of heat conduction, a general solution of scattered thermal waves is presented. Numerical calculations illustrate the effect of subsurface inclusion on the temperature and phase change at the sample surface under different physical and geometrical parameters. It is found that the temperature above the conducting cylindrical inclusion decreases because of the existence of the inclusion. The effect of the inclusion on the temperature and phase change at the surface is also related to the non-homogeneous parameter of FGMs, the wave frequency of thermal waves, and the distance between the inclusion and the semi-infinite surface. Finally, the effect of the relaxation time of buried inclusion on the temperature and phase change at the surface is examined.

show abstract

“…Recently Shaghaghi et al (submitted for publication) successfully extended the procedure proposed by Gosz and Moran (2002) to 3D non-planar cracks in graded solids. Note that this topic was fairly unexplored because earlier works focused on 3D planar cracks only (Yu et al, 2010;Walters et al, 2004Walters et al, , 2006Yildirim et al, 2005;Ayhan, 2009Ayhan, , 2007. However, it was observed in Gosz and Moran (2002) that by imposing auxiliary fields in curvilinear coordinate system the auxiliary strain field is not symmetric gradient of auxiliary displacement field and auxiliary stress field is not in equilibrium.…”

Section: Introductionmentioning

confidence: 99%

An improved numerical method for computation of stress intensity factors along 3D curved non-planar cracks in FGMs

Ghajar

Moghaddam

Alfano

2011

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tA simplified strategy based on the interaction energy integral is implemented in the finite element framework to evaluate mixed mode Stress Intensity Factors (SIFs) in 3D non-planar cracks. The proposed approach does not require any a priori information about crack front and crack surface curvatures, therefore different arbitrary non-planar cracks can be easily investigated. In particular, both conical and lensshaped cracks in homogeneous materials are considered as case studies in order to demonstrate the accuracy of the present approach. Finally, the computational strategy is extended to Functionally Graded Materials (FGMs) and the effect of graded material properties (Young's modulus and Poisson's ratio) on the SIFs is studied in detail.

show abstract

Stress intensity factors for three-dimensional cracks in functionally graded materials using enriched finite elements

Cited by 58 publications

References 29 publications

Experimental and numerical investigation of a cracked transversely graded plate subjected to in plane bending

Experimental and numerical investigation of a cracked transversely graded plate subjected to in plane bending

Multiple Scattering of Thermal Waves from a Subsurface Cylindrical Inclusion in Semi-infinite Functionally Graded Materials Using Non-Fourier Model

An improved numerical method for computation of stress intensity factors along 3D curved non-planar cracks in FGMs

Contact Info

Product

Resources

About