Finite element analysis of elastic–plastic and fracture behavior in functionally graded materials (FGMs)

Shahzamanian, M. M.; Partovi, Amir; Wu, Peidong

doi:10.1007/s42452-020-03901-w

Cited by 9 publications

(4 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the previous sections, the transition zone between the rate-sensitive and the rateinsensitive materials was modeled by a non-layered and sudden change between the materials, resulting in a one-step jump in the material characteristics. This is a common simplification that is usually considered in FEA of functionally graded materials (FGMs) [38]. To evaluate the effects of topology of the transition zone in FGM analysis, two other topologies are defined at the bonding region of the rate-sensitive and rate-insensitive materials, and their effect on the f-d curves are compared in this section.…”

Section: Effects Of Topological Interfacementioning

confidence: 99%

Effect of Strain Rate Sensitivity on Fracture of Laminated Rings under Dynamic Compressive Loading

Partovi

Shahzamanian

2022

Materials

Self Cite

View full text Add to dashboard Cite

The effects of cladding layers of rate-sensitive materials on the ductility and fracture strain of compressed rings are numerically investigated by using the finite element method (FEM) and employing the Johnson–Cook (J–C) model. The results show that ductility is governed by the behavior of the material that is located at the ring outer wall regardless of the volume fraction of the core and clad materials. However, as the number of layers increases, this influence becomes less noticeable. Moreover, as barreling increases at the outer wall and decreases at the inner wall, fracture strain increases. Furthermore, the effects of ring shape factor and bonding type of clad and core materials are numerically evaluated. The numerical results show that less force per unit volume is required to fracture narrower rings and that using a noise diffusion pattern at the interface of the materials is more suitable to simulate crack propagation in the compressed rings and functionally graded materials (FGMs). Additionally, delamination has a direct relation to layer thickness and can occur even in the presence of perfect bonding conditions owing to differences among the material and fracture parameters of laminated layers.

show abstract

Section: Effects Of Topological Interfacementioning

confidence: 99%

Effect of Strain Rate Sensitivity on Fracture of Laminated Rings under Dynamic Compressive Loading

Partovi

Shahzamanian

2022

Materials

Self Cite

View full text Add to dashboard Cite

show abstract

“…7 Because of the high stiffness mismatch between implant and bone, the problem of stress shielding comes into the picture. 8 This stress shielding is a major concern for implants nowadays because it is responsible for implant-induced bone resorption. 9,10 The bone resorption may contribute to the aseptic loosening or migration of implants in later stages.…”

Section: Introductionmentioning

confidence: 99%

“…These contemporary metal implants have very good mechanical strength but have elastic modulus, which is about five to twenty times in comparison to the bony tissues 7 . Because of the high stiffness mismatch between implant and bone, the problem of stress shielding comes into the picture 8 . This stress shielding is a major concern for implants nowadays because it is responsible for implant‐induced bone resorption 9,10 .…”

Section: Introductionmentioning

confidence: 99%

A numerical investigation for the development of functionally graded Ti/HA tibial implant for total ankle replacement: Influence of material gradation law and volume fraction index

Jyoti,

Ghosh

2024

J Biomed Mater Res

View full text Add to dashboard Cite

Stress shielding is one of the major concerns for total ankle replacement implants nowadays, because it is responsible for implant‐induced bone resorption. The bone resorption contributes to the aseptic loosening and failure of ankle implants in later stages. To reduce the stress shielding, improvements can be made in the implant material by decreasing the elastic mismatch between the implant and the tibia bone. This study proposes a new functionally graded material (FGM) based tibial implant for minimizing the problem of stress shielding. Three‐dimensional finite element (FE) models of the intact tibia and the implanted tibiae were created to study the influence of material gradation law and volume fraction index on stress shielding and implant‐bone micromotion. Different implant materials were considered that is, cobalt–chromium, titanium (Ti), and FGM with Ti at the bottom and hydroxyapatite (HA) at the top. The FE models of FGM implants were generated by using different volume fractions and the rule of mixtures. The rule of mixtures was used to calculate the FGM properties based on the local volume fraction. The volume fraction was defined by using exponential, power, and sigmoid laws. For the power and sigmoid law varying volume fraction indices (0.1, 0.2, 0.5, 1, 2, and 5) were considered. The geometry resembling STAR® ankle system tibial implant was considered for the present study. The results indicate that FGMs lower stress shielding but also marginally increase implant‐bone micromotion; however, the values were within the acceptable limit for bone ingrowth. It is observed that the material gradation law and volume fraction index influence the performance of FGM tibial implants. The tibial implant composed of FGM using power law with a volume fraction index of 0.1 was the preferred option because it showed the least stress shielding.

show abstract

“…The effect of material parameters such as constituent volume fraction (Vc), size, shape, particle distribution on the elastoplastic deformations, failure mechanisms, and microstructure heterogeneity of FGMs under quasi-static loading have been widely studied. [13][14][15][16][17][18][19][20][21] For example, Kubair and Lakshmana 22 carried out a numerical study of initiation and growth of damages in layered composites structures with a functionally graded core. The simulation indicated that the energy absorption due to the damage process is modified by the presence of the functionally graded core, Moreover, Gunes et al 23 analyzed the elastic and elastoplastic behavior of functionally graded circular plates under low-velocity impact loading using experimental and computational techniques.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the dynamic behavior of a Ti/TiB functionally graded material using Split Hopkinson Pressure Bar test

Zemani¹,

May²,

Gilson

et al. 2022

Journal of Composite Materials

View full text Add to dashboard Cite

This work focuses on the mechanical behavior, at high strain rates, of metal-ceramic functionally graded materials (FGMs) using a Split Hopkinson Pressure Bar (SHPB) technique. The validity and the accuracy of the SHPB test results for these composite materials have not been meticulously studied due to their complex mechanical response under dynamic loadings. In this paper, numerical simulations of SHPB tests were performed to determine the dynamic response of specific FGMs at various strain rates. The effects of the compositional gradient exponent and the striker velocity, as well as increasing/decreasing stiffness through the thickness of the functionally graded specimen, were investigated. The considered material is composed of Titanium mono-boride ceramic (TiB) and Titanium metal (Ti) phases; the volume fraction (Vc) of the ceramic constituent varies through-thickness following a power-law distribution. The locally effective material properties were evaluated using a homogenization method based on the self-consistent method (SCM). The elastoplastic behavior of the FGMs under dynamic loading is described using dynamic Tamura-Tomota-Ozawa model (DTTO). The numerical simulations indicated that the compositional gradient exponent and striker velocity have significant effects on the dynamic response of the FGMs. On the other hand, the increasing/decreasing stiffness has a minor effect due to the low thickness of the experimental functionally graded specimen. Finally, the effect of the high strain rates the multiple interface reflection/transmission of the stress wave is very considerable for the design and the optimization of FGMs behavior under dynamic loading.

show abstract

Finite element analysis of elastic–plastic and fracture behavior in functionally graded materials (FGMs)

Cited by 9 publications

References 27 publications

Effect of Strain Rate Sensitivity on Fracture of Laminated Rings under Dynamic Compressive Loading

Effect of Strain Rate Sensitivity on Fracture of Laminated Rings under Dynamic Compressive Loading

A numerical investigation for the development of functionally graded Ti/HA tibial implant for total ankle replacement: Influence of material gradation law and volume fraction index

Numerical investigation of the dynamic behavior of a Ti/TiB functionally graded material using Split Hopkinson Pressure Bar test

Contact Info

Product

Resources

About