Crack growth resistance behavior of a functionally graded material: computational studies

Jin, Z.-H.; Dodds, Robert H.

doi:10.1016/j.engfracmech.2003.08.002

Cited by 32 publications

(18 citation statements)

References 34 publications

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“…Note that for FGMs, the J -integral does not correspond to the cohesive energy density at specific locations of the current crack front. Instead, it represents effects of the cohesive energy density over the whole cohesive zone and the background material gradation (Jin and Dodds, 2004). This explains why the J init values shown in Figure 11 are higher than the c eff values shown in Figure 6.…”

Section: Crack Growth Resistance Of Tib/ti Fgm Specimensmentioning

confidence: 91%

“…Figure 2 shows a typical shape of the traction-displacement curve for the exponential cohesive zone model. In the previous work by Jin et al (2003) and by Jin and Dodds (2004), the above cohesive zone model was used to investigate crack growth resistance in TiB/Ti FGMs. They assume that the metal phase (Ti) controls the crack growth, and thus the extinction of cohesive elements is based on the critical displacement of the metal phase δ c met (see Section 3 for more detail).…”

Section: Behavior In Functionally Graded Materials 95mentioning

confidence: 99%

“…However, for relatively brittle materials, the introduction of the artificial compliance may have a significant effect on the numerical results. In the previous work by Jin and Dodds (2004), the effect of the artificial compliance to crack growth resistance in TiB/Ti FGM, which is a relatively brittle material, was not investigated.…”

Section: Behavior In Functionally Graded Materials 95mentioning

confidence: 99%

“…Rangaraj and Kokini (2004) studied thermal fracture behaviors in functionally graded thermal barrier coatings using cohesive zone modeling. Jin and Dodds (2004) studied crack growth resistance behaviors in ceramic/metal FGMs. Zhang and Paulino (2005) and Kandula et al (2005) presented cohesive zone modeling of dynamic fracture in FGMs.…”

Section: Introductionmentioning

confidence: 99%

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J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

2006

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This paper describes elastic-plastic crack growth resistance simulation in a ceramic/metal functionally graded material (FGM) under mode I loading conditions using cohesive zone and modified boundary layer (MBL) models. For this purpose, we first explore the applicability of two existing, phenomenological cohesive zone models for FGMs. Based on these investigations, we propose a new cohesive zone model. Then, we perform crack growth simulations for TiB/Ti FGM SE(B) and SE(T) specimens using the three cohesive zone models mentioned above. The crack growth resistance of the FGM is characterized by the J -integral. These results show that the two existing cohesive zone models overestimate the actual J value, whereas the model proposed in the present study closely captures the actual fracture and crack growth behaviors of the FGM. Finally, the cohesive zone models are employed in conjunction with the MBL model. The two existing cohesive zone models fail to produce the desired K-T stress field for the MBL model. On the other hand, the proposed cohesive zone model yields the desired K-T stress field for the MBL model, and thus yields J R curves that match the ones obtained from the SE(B) and SE(T) specimens. These results verify the application of the MBL model to simulate crack growth resistance in FGMs.

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Section: Crack Growth Resistance Of Tib/ti Fgm Specimensmentioning

confidence: 91%

Section: Behavior In Functionally Graded Materials 95mentioning

confidence: 99%

Section: Behavior In Functionally Graded Materials 95mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

2006

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“…Finot et al (1994) studied reinforcement cracking in metal matrix composites. Jin and Dodds (2004) investigated crack growth in ceramic/metal functionally graded materials. Elices et al (2002) reviewed and discussed cohesive zone models for the study of fracture in concrete, polymers and metals.…”

Section: Introductionmentioning

confidence: 99%

Cohesive Fracture Model Based on Necking

Jin

Sun

2005

Int J Fract

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A linear hardening model together with a linear elastic background material is first used to discuss some aspects of the mathematical and physical limitations and constraints on cohesive laws. Using an integral equation approach together with the cohesive crack assumption, it is found that in order to remove the stress singularity at the tip of the cohesive zone, the cohesive law must have a nonzero traction at the initial zero opening displacement. A cohesive zone model for ductile metals is then derived based on necking in thin cracked sheets. With this model, the cohesive behavior including peak cohesive traction, cohesive energy density and shape of the cohesive tractionseparation curve is discussed. The peak cohesive traction is found to vary from 1.15 times the yield stress for perfectly plastic materials to about 2.5 times the yield stress for modest hardening materials (power hardening exponent of 0.2). The cohesive energy density depends on the critical relative plate thickness reduction at the root of the neck at crack initiation, which needs to be determined by experiments. Finally, an elastic background medium with a center crack is employed to re-examine the shape effect of cohesive traction-separation curve, and the relation between the linear elastic fracture mechanics (LEFM) and cohesive zone models by considering the cohesive zone development and crack growth in the infinite elastic medium. It is shown that the shape of the cohesive curve does affect the cohesive zone size and the apparent energy release rate of LEFM for the crack growth in the elastic background material. The apparent energy release rate of LEFM approaches the cohesive energy density when the crack extends significantly longer than the characteristic length of the cohesive zone.

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Gradient polymeric materials based on poorly compatible epoxy oligomers

Amirova

Andrianova

2006

J of Applied Polymer Sci

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Gradient materials developed on the basis of poorly compatible epoxy oligomers are proposed. The influence of the composition and curing conditions on the stratification of the compounds was studied. The distribution of the components of the curing systems was determined by Fourier transform infrared and elemental analysis. The microhardness and glass-transition temperature varied across the section as a function of the component content and curing temperature.

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Crack growth resistance behavior of a functionally graded material: computational studies

Cited by 32 publications

References 34 publications

J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

Cohesive Fracture Model Based on Necking

Gradient polymeric materials based on poorly compatible epoxy oligomers

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