Numerical investigation of the mode III stress intensity factors in FGMs considering the effect of graded Poisson’s ratio

Ghajar, Rahmatollah; Moghaddam, Ali Shaghaghi

doi:10.1016/j.engfracmech.2010.11.022

Cited by 11 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…lens shaped and conical cracks. The implementation of domain integrals in the finite element framework is summarized in the appendix given at the end of this paper, while further details are given in our previous works [37,36,40]. It is emphasized that, as reported in [37], the interaction energy integral in domain form is not sensitive to the detail of mesh near the crack front.…”

Section: Finite Element Implementationmentioning

confidence: 98%

“…It is extended over length L c and it is enclosed by the cylindrical surfaces S o and S i , the lateral surfaces A 1 and A 2 and by top and bottom crack surfaces. Note that superscript (1) in previous equation for J denotes the corresponding fields obtained from finite element analysis, namely the actual fields; Da(s) is the amplitude of the crack advance along segment L c [40]. For graded materials the second term in Eq.…”

Section: Domain Integrals For 3d Cracks In Fgmsmentioning

confidence: 99%

“…where C mnpq (X) is the constitutive tensor, q l,j is a sufficiently smooth test function [40], d lj is the Kronecker delta, r mn and mn are stress and strain tensors respectively, while c is given by:…”

Section: Domain Integrals For 3d Cracks In Fgmsmentioning

confidence: 99%

See 2 more Smart Citations

Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylinders

2013

Self Cite

View full text Add to dashboard Cite

Section: Finite Element Implementationmentioning

confidence: 98%

Section: Domain Integrals For 3d Cracks In Fgmsmentioning

confidence: 99%

See 1 more Smart Citation

Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylinders

2013

Self Cite

View full text Add to dashboard Cite

“…The mechanical behavior of thin inclusions is fundamental to the design of composite materials. It is realized that, for a given geometry and boundary condition, III depends on the gradation of both the modulus of elasticity and Poisson's ratio [19]. The cracked sandwich plate twist specimen is viable to characterize mode III fracture [20].…”

Section: Introductionmentioning

confidence: 99%

“…Then, by applying key equation 15to the system ( 0 ) and introducing the new variables = cos , = cos (19) regarding the unknown dislocation density 0 ( ) from 18, the singular integral equation governing the problem is obtained as follows:…”

mentioning

confidence: 99%

Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips

Pahlaviani

Mkhitaryan

2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The stress state of a bimaterial elastic body that has a row of cracks on an interface surface is considered. It is subjected to antiplane deformations by uniformly distributed shear forces acting on the horizontal sides of the body. The governing equations of the problem, the stress intensity factors, the deformation of the crack edges, and the shear stresses are derived. The solution of the problem via the Fourier sine series is reduced to the determination of a singular integral equation (SIE) and consequently to a system of linear equations. In the end, the problem is solved in special cases with inclusions. The results of this paper and the previously published results show that the used approach based on the Gauss-Chebyshev quadrature method can be considered as a generalized procedure to solve the collinear crack problems in mode I, II, or III loadings.

show abstract

Torsion analysis of finite solid circular cylinders with multiple concentric planar cracks

2016

View full text Add to dashboard Cite

First, using the separation of variables technique a series solution for torsion of an intact finite cylinder under self‐equilibrating lateral shear tractions is given. Next, an integral form solution for torsion of an intact infinite cylinder under the aforementioned lateral loading is obtained. After that the solution of an axisymmetric rotational Somigliana ring dislocation in the infinite circular cylinder is obtained. The distributed dislocation technique is used to construct integral equations for stress analysis of the infinite cylinder with a set of coaxial axisymmetric cracks. These defects are penny‐shaped, annular and circumferential edge cracks. The infinite cylinder is under the action of the loading similar to the intact cylinder. The integral equations are solved numerically to obtain the dislocation density on the surfaces of the cracks. The stress intensity factors for the cracks are determined by employing the dislocation densities. The problem of a cracked finite cylinder is treated by cutting method. That is, a similar cracked infinite cylinder is sliced by extending two additional annular axisymmetric cracks. To validate the cutting method, the solution of the sliced intact infinite cylinder is compared to that of an intact finite cylinder which both of them are under the same self‐equilibrating lateral shear tractions. The solution is applied to several examples to study the effect of crack type/location on the resulting stress intensity factors at tips of the cracks.

show abstract

Numerical investigation of the mode III stress intensity factors in FGMs considering the effect of graded Poisson’s ratio

Cited by 11 publications

References 20 publications

Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylinders

Determining the mixed mode stress intensity factors of surface cracks in functionally graded hollow cylinders

Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips

Torsion analysis of finite solid circular cylinders with multiple concentric planar cracks

Contact Info

Product

Resources

About