An interaction integral method for computing mixed mode stress intensity factors for curved bimaterial interface cracks in non-uniform temperature fields

Johnson, Janine; Qu, Jianmin

doi:10.1016/j.engfracmech.2006.10.008

Cited by 37 publications

(8 citation statements)

References 9 publications

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“…Song and Paulino (2006) used the approach to evaluate the dynamic SIFs for both homogeneous and nonhomogeneous materials. Johnson and Qu (2007) extended the interaction integral to calculate the SIFs of three-dimensional curvilinear cracks in a homogeneous body or on a bimaterial interface under nonuniform temperatures. KC and Kim (2008) gave the finite element evaluation of the nonsingular T-stress and mixed-mode SIFs in nonhomogeneous materials under steady-state thermal loads by the interaction integral approach.…”

Section: Introductionmentioning

confidence: 99%

Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method

Guo

et al. 2009

International Journal of Solids and Structures

129

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a b s t r a c tAn interaction (energy) integral is derived for the computation of mixed-mode stress intensity factors (SIFs) in nonhomogeneous materials with continuous or discontinuous properties. This method is based on a conservation integral that relies on two admissible mechanical states (actual and auxiliary fields). In general, the interaction energy contour integral is converted into an equivalent domain integral in numerical computations. It can be seen from the equivalent domain integral, the integrand does not involve any derivatives of material properties. Moreover, the formulation can be proved valid even when the integral domain contains material interfaces. Therefore, it is not necessary to limit the material properties to be continuous for the present method. Due to these advantages the application range of the interaction integral method can be greatly enlarged. The numerical implementation of the derived expression is combined with the extended finite element method (XFEM). Using this method, the influences of material properties on the mixed-mode SIFs are investigated for four types of material properties selected in this work. Numerical results show that the mechanical properties and their first-order derivatives can affect mode I and II SIFs greatly, while the higher-order derivatives affect the SIFs very slightly.

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Section: Introductionmentioning

confidence: 99%

Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method

Guo

et al. 2009

International Journal of Solids and Structures

129

View full text Add to dashboard Cite

show abstract

“…Although the problems concerning the weakening effects of through-thickness circular or elliptical cracks have a long history, the twin-issues of stress concentration and stress singularity in the vicinity of part-through circular or elliptical cracks are not fully explored. The deterministic analysis of curved interface crack by using classical FEM has been carried out by (Huang et al 2003;Figiel et al 2004;Han and Dhanasekar 2004;Chang and Wu 2007;Tilbrook and Hoffman 2007;Faal and Fariborz 2007;Johnson and Qu 2007;Rudraraju et al 2012;Fan et al 2014). To analyze curve crack Stazi et al (2003) presented X-FEM by using enriched quadratic interpolations.…”

Section: Introductionmentioning

confidence: 99%

Stochastic fracture analysis of laminated composite plate with arbitrary cracks using X-FEM

Lal

Palekar

2015

Int J Mech Mater Des

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In this paper, second order statistics of mixed mode stress intensity factors (MSIFs) and crack propagation analysis of the symmetric angle ply laminated composite plate with through thickness arbitrary curve cracks subjected to tensile and shear stress is presented. The fracture behaviour is analysed using extended finite element method (X-FEM). The cracks like line, semi elliptical, semi circular and arbitrary curves are considered for the detailed numerical study. The material properties, lamination angle, loading, crack width and crack depth are modelled as independent, combine uncorrelated and correlated input random Gaussian variables. The interaction integral (M-integral) is adopted for calculating the MSIFs. The second order perturbation technique and Monte Carlo simulations are proposed to obtain the mean and coefficient of variance of MSIFs by random change in input system parameters. This work signifies the accurate and realistic evaluation of fracture response by handling the various levels of uncertainties. The effect of crack propagation on MSIFs using tensile and shear stresses using global tracking algorithm is also highlighted.

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“…Ortiz and Cisilino (2005) determined mixed-mode SIFs along 3D bimaterial interface crack fronts using the interaction integral method in conjunction with the boundary element method (BEM). Johnson and Qu (2007) extended the interaction integral method to calculate the SIFs of 3D curved cracks in a homogeneous body and on a bimaterial interface subjected to nonuniform temperature fields.…”

Section: Introductionmentioning

confidence: 99%

An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces

Guo

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tThis work derives an interaction integral for the computation of mixed-mode stress intensity factors (SIFs) in three-dimensional (3D) nonhomogeneous materials with continuous or discontinuous properties. The present method is based on a two-state integral by the superposition of actual and auxiliary fields. In 3D domain formulation of the interaction integral derived here, the integrand does not involve any derivatives of material properties. Furthermore, the formulation can be proved to be still valid even when the integral domain contains material interfaces. Therefore, it is not necessary to limit the material properties to be continuous for the present formulation. On account of these advantages, the application range of the interaction integral can be greatly enlarged. This method in conjunction with the finite element method (FEM) is employed to solve several representative fracture problems. According to the comparison between the results and those from the published lectures, good agreement demonstrates the validation of the interaction integral. The results show that the present interaction integral is domainindependent for nonhomogeneous materials with interfaces.

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An interaction integral method for computing mixed mode stress intensity factors for curved bimaterial interface cracks in non-uniform temperature fields

Cited by 37 publications

References 9 publications

Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method

Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method

Stochastic fracture analysis of laminated composite plate with arbitrary cracks using X-FEM

An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces

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