Fracture Testing and Analysis of a Layered Functionally Graded Ti/TiB Beam in 3-Point Bending

Carpenter, R. D.; Liang, Weizhang; Paulino, Gláucio H.; Gibeling, J.C.; Munir, Z. A.

doi:10.4028/www.scientific.net/msf.308-311.837

Cited by 44 publications

(15 citation statements)

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“…Such assumption is due to the fact that the cohesive fracture energy of the ceramic phase is relatively small compared to that of the metal phase. However, results from previous work (Carpenter et al, 1999) indicate that the cohesive fracture energy of TiB/Ti FGM is relatively small even for regions with relatively high-volume fraction of Ti, e.g. the cohesive fracture energy for 85% Ti and 15% TiB FGM is only about 7% that of pure Ti.…”

Section: Displacement-based Bilinear Cohesive Zone Modelmentioning

confidence: 86%

“…The company CERCOM Inc. developed the TiB/Ti FGM system in a layered structural form for potential armor applications (Nelson and Ezis, 1996). Table 1 summarizes the geometric parameters of the SE(B) specimen used in both the present and experimental studies reported by Carpenter et al (1999). In the present numerical analyses of the specimens, the idealized FGM composition varies from 100% TiB at the cracked surface to 100% Ti at the uncracked surface -the actual material variation from processing is presented by Carpenter et al (1999).…”

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

confidence: 98%

“…Table 1 summarizes the geometric parameters of the SE(B) specimen used in both the present and experimental studies reported by Carpenter et al (1999). In the present numerical analyses of the specimens, the idealized FGM composition varies from 100% TiB at the cracked surface to 100% Ti at the uncracked surface -the actual material variation from processing is presented by Carpenter et al (1999). Thus ideally, the volume fraction of Ti (V Ti ) varies from zero at the cracked surface to one at the uncracked surface.…”

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

confidence: 99%

“…Table 2 lists the material properties of TiB and Ti -data from Carpenter et al (1999), Paulino et al (2001), Jin et al (2003). The elastic-plastic material properties within the TiB/Ti FGM specimens are estimated by the TTO model of Tamura et al (1973) -(see Jin et al, 2003 and for more details).…”

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

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: Displacement-based Bilinear Cohesive Zone Modelmentioning

confidence: 86%

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

confidence: 98%

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

confidence: 99%

Section: Tib/ti Fracture Specimen Geometries Materials and Fe Modelsmentioning

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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“…The parameter q may be approximated by calibration of experimental data from tensile tests performed on monolithic composite specimens. For example, a value of q = 4.5 GPa is used for a TiB/Ti FGM (Carpenter et al, 1999), whereas Poisson's ratio is taken constant and equal to 0.3. …”

Section: Mechanical Behaviour Of Fgmmentioning

confidence: 99%

Elastic-plastic analysis of pressure vessels and rotating disks made of functionally graded materials using the isogeometric approach

Kalali

Hassani

Hadidi-Moud

2016

jtam

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An NURBS-based isogeometric analysis for elastic-plastic stress in a cylindrical pressure vessel is presented. The vessel is made of a ceramic/metal functionally graded material, i.e. a particle-reinforced composite. It is assumed that the material plastic deformation follows an isotropic strain-hardening rule based on the von Mises yield criterion. The mechanical properties of the graded material are modelled by the modified rule of mixtures. Selected finite element results are also presented to establish the supporting evidence for validation of the isogeometric analysis. Similar analyses are performed and solutions for spherical pressure vessel and rotating disk made of FGMs are also provided.

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Fracture Mechanics of Functionally Graded Materials

Jin

2003

Advances in Mechanics and Mathematics

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Fracture Testing and Analysis of a Layered Functionally Graded Ti/TiB Beam in 3-Point Bending

Cited by 44 publications

References 0 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

Elastic-plastic analysis of pressure vessels and rotating disks made of functionally graded materials using the isogeometric approach

Fracture Mechanics of Functionally Graded Materials

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