Numerical investigation of creep crack growth in plastically graded materials using C(t) and XFEM

Kumar, Manish; Singh, I.V.

doi:10.1016/j.engfracmech.2019.106820

Cited by 27 publications

(6 citation statements)

References 60 publications

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“…In PGM, the gradation of plastic properties in the x -direction is considered. Plastic properties like yield strength ( σy), Ramberg–Osgood constant ( ζ), and hardening exponent ( n ) are varied exponentially from x = 0 to x = L. Similarly, for FGM, along with plastic properties, elastic properties like Young’s Modulus (E) and Poisson’s Ratio ( υ) are also varied exponentially from x = 0 to x = L as shown in equation (30) 32,35 …”

Section: Mathematical Formulationmentioning

confidence: 99%

“…They have studied in detail the changes in load-carrying capacity with various flaws employing homogenized multigrid XFEM considering nonlinearities. Kumar and Singh 35 extended previous work by incorporating FGM and evaluated strain energy density and stress at spatial mirror points. Fatigue crack growth analysis was done in an aero-engine turbine disc considering plastically graded materials (PGMs).…”

Section: Introductionmentioning

confidence: 97%

“…Fatigue crack growth analysis was done in an aero-engine turbine disc considering plastically graded materials (PGMs). Kumar and Singh 35 extended previous research to compute crack growth and creep response by incorporating FGM subjected to mixed mode loading conditions. Their work includes deriving the strain energy density and maintaining plastic/creep irreversibility.…”

Section: Introductionmentioning

confidence: 99%

“…from x ¼ 0 to x ¼ L. Similarly, for FGM, along with plastic properties, elastic properties like Young's Modulus (E) and Poisson's Ratio (t) are also varied exponentially from x ¼ 0 to x ¼ L as shown in equation (30)32,35 r y ðxÞ ¼ r y0 e q x fðxÞ ¼ f 0 e q x nðxÞ ¼ n 0 e q x…”

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confidence: 99%

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Fracture analysis of plastically graded material with thermo-mechanicalJ-integral

Gajjar

Pathak

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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In this paper, the influence of plasticity graded property and thermal boundary conditions have been investigated on the fracture parameter, i.e. J-integral using the extended finite element method. A complete computational methodology has been presented to model elasto-plastic fracture problems with geometrical and material nonlinearities. For crack discontinuity modeling, a partition of unity enrichment concept was employed with additional mathematical functions like Heaviside and branch enrichment for crack discontinuity and stress field gradient, respectively. The modeling of the stress–strain relationship of the material is implemented using the Ramberg–Osgood material model and geometric nonlinearity is modeled using an updated Lagrangian approach. The isotropic hardening and von-Mises yield criteria are considered to check the plasticity condition. The elastic predictor–plastic corrector algorithm is employed to capture elasto-plastic stress in a cracked domain. The variation in plasticity properties for plastically graded material is modeled by exponential law. Furthermore, the nonlinear discrete equations are numerically solved using a Newton–Raphson iterative scheme. Various cracked problem geometries subjected to thermal (adiabatic and isothermal conditions) and thermo-mechanical loads are simulated for stress contours and J-integrals using the elasto-plastic fracture mechanics approach. A comparison of the results obtained using extended finite element method with literature and the finite element analysis (FEA) package shows the accuracy and effectiveness of the presented computational approach. A component-based problem, i.e. a Brazilian disc subjected to thermo-mechanical loading, has been solved to show the adaptability of this work.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Fracture analysis of plastically graded material with thermo-mechanicalJ-integral

Gajjar

Pathak

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…PF method employs a diffuse representation of cracks in a solid body, using a phase‐field variable which assumes unitary value when the body is fully cracked and a null value when the material is in its pristine conditions, while a gradual transition between the two states is guaranteed. There exist a variety of FEM‐based approach to tackle fracture mechanics problems, such as XFEM 4–6 or node release, 7 however, PF stands out for its performance when dealing with multi‐physics problems, 8 crack branching/intersecting 9 and material nonlinearity 2,10–14 . In some instances, PF may be computationally costly, and for this reason, lately several strategies have been proposed 15,16 …”

Section: Introductionmentioning

confidence: 99%

On the significance of diffuse crack width self‐evolution in the phase‐field model for residually stressed brittle materials

Salvati

Menegatti

Kumar

et al. 2021

Mat Design & Process Comms

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The Phase‐Field method is an attractive numerical technique to simulate fracture propagation in materials relying on Finite Element Method. Its peculiar diffuse representation of cracks makes it suitable for a myriad of problems, especially those involving multiple physics and complex‐shaped crack patterns. Recent literature provided linear relationships between the width of the diffuse crack and the material intrinsic fracture toughness, through a material characteristic length. However, lately, it was shown how the existence of a residual stress field can affect the represented crack width even for fully homogeneous materials, in terms of toughness. In this short note, the authors tried to shed some light on the factors influencing the width of the diffuse crack representation. By simulating crack propagation in several residually stressed brittle materials, it was shown how the width of the diffuse crack is affected by the ratio between the driving force ‐ due to the externally applied load ‐ and the driving force required to propagate the crack. In other words, the diffuse crack extent can be linked to the degree of crack propagation stability/instability. Monitoring the evolution of the studied quantity can be of great interest to rapidly assess crack instability circumstances, under displacement control.

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Advanced Numerical Methods for Fracture Assessment

Kumar,

Salvati

2024

Comprehensive Mechanics of Materials

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Numerical investigation of creep crack growth in plastically graded materials using C(t) and XFEM

Cited by 27 publications

References 60 publications

Fracture analysis of plastically graded material with thermo-mechanicalJ-integral

Fracture analysis of plastically graded material with thermo-mechanicalJ-integral

On the significance of diffuse crack width self‐evolution in the phase‐field model for residually stressed brittle materials

Advanced Numerical Methods for Fracture Assessment

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