An improved methodology based on continuum damage mechanics and stress triaxiality to capture the constraint effect during fatigue crack propagation

Pandey, V.B.; Samant, S. S.; Singh, I.V.; Mishra, B.K.

doi:10.1016/j.ijfatigue.2020.105823

Cited by 28 publications

(6 citation statements)

References 39 publications

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“…In this work, crack tip singularity is captured by stress triaxiality. In literature, 21,45 its convergence and accuracy to identify stress variation near to the crack tip is broadly explained. The triaxial state of stress is also presented in Figures 11(a in higher side for ACR samples at the central region of the specimen before start of the necking.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In literature, 14,20 XFEM can be an effective methodology to solve the fracture mechanics problems particularly the elasto-plastic crack growth behavior for variety of engineering materials. Pandey et al 21 successfully adopted XFEM approach to evaluate the stress triaxiality parameter to define the state of stress accurately in the crack vicinity during fatigue crack growth for modified 9Cr-1Mo steel. A small modification within the framework of XFEM approximation function increases its computational proficiency to simulate the stable crack growth in ductile materials.…”

Section: Introductionmentioning

confidence: 99%

“…Pandey et al. 21 successfully adopted XFEM approach to evaluate the stress triaxiality parameter to define the state of stress accurately in the crack vicinity during fatigue crack growth for modified 9Cr-1Mo steel. A small modification within the framework of XFEM approximation function increases its computational proficiency to simulate the stable crack growth in ductile materials.…”

Section: Introductionmentioning

confidence: 99%

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Experimental and extended finite element simulations for tensile fracture phenomenon of cryorolled aluminium alloy 5754

Kumar

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In present work, cryorolling is performed to obtain the higher mechanical strength of the received material. Close to 50% and 30% increments in tensile and yield strengths of the material are observed for 40% thickness reduction. However, limited ductility has been obtained for cryorolled samples. Post annealing heat treatment is performed on cryorolled samples to obtain combined enhancement in strength and ductility of the alloy. Difference in the ductile fracture along with crack initiation and its advancement with plastic straining is also compared for cryorolled and annealed cryorolled samples. Fracture angle and crack propagation behavior at vicinity of gauge section is evaluated by using extended finite element method (XFEM) and compared with experimental tested work piece. XFEM has been adopted to simulate the crack growth behavior from nucleation till fracture of the investigated alloy. Triaxial stress contour plots are also captured by XFEM near to the crack initiation zone.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental and extended finite element simulations for tensile fracture phenomenon of cryorolled aluminium alloy 5754

Kumar

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In 2020, Pandey et al [ 46 ] introduced and improved the continuum damage model based on the weight function given in Equation (8) and applied it to an extended finite element model to capture the constraint effect during fatigue crack propagation. Their analysis showed that the triaxiality parameter was key to estimating the crack tip constraints correctly.…”

Section: Nonlocal Theories In Fatigue Evaluationmentioning

confidence: 99%

A Review on Nonlocal Theories in Fatigue Assessment of Solids

2023

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A review of nonlocal theories utilized in the fatigue and fracture modeling of solid structures is addressed in this paper. Numerous papers have been studied for this purpose, and various nonlocal theories such as the nonlocal continuum damage model, stress field intensity model, peridynamics model, elastic-plastic models, energy-based model, nonlocal multiscale model, microstructural sensitive model, nonlocal lattice particle model, nonlocal high cycle fatigue model, low cycle fatigue model, nonlocal and gradient fracture criteria, nonlocal coupled damage plasticity model and nonlocal fracture criterion have been reviewed and summarized in the case of fatigue and fracture of solid structures and materials.

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“…9,10 However, the distribution of strain at the surface of a thick specimen can differ significantly from the distribution at the mid-thickness. Higher stress triaxiality occurs at this mid-thickness plane strain region, and since higher triaxiality normally favors crack growth in high-cycle fatigue, [11][12][13][14][15] this region may control the material's overall fatigue crack growth behavior. Secondly, these techniques only measure total strain, and it is not possible to isolate the elastic component of strain (i.e., the part that relates to the material's stress state) without additional assumptions.…”

Section: Introduction 1| Fatigue Crack Growth Rate and Stress Ratiomentioning

confidence: 99%

Subsurface fatigue crack tip strains in 7475‐T7351 aluminium alloy measured using stroboscopic neutron diffraction

Coules

Probert

Azuma

et al. 2023

Fatigue Fract Eng Mat Struct

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Fatigue crack growth in thick‐section metals is typically controlled by an internal plane strain region where strong triaxial constraint of the crack tip occurs. However, the crack tip stress state in this region is challenging to measure. We have used neutron diffraction to study the plane strain section of fatigue crack tips in situ. A stroboscopic form of neutron diffraction using a moving frame‐of‐reference was developed to measure crack tip strains as a function of phase in the fatigue loading cycle without interrupting the cyclic load. Using point measurements of near‐tip strain in 7475‐T7351 aluminium alloy in conjunction with finite element analysis, we can estimate the extent of the crack tip plastic zone, verifying that it is small for this material and set of loading conditions.

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An improved methodology based on continuum damage mechanics and stress triaxiality to capture the constraint effect during fatigue crack propagation

Cited by 28 publications

References 39 publications

Experimental and extended finite element simulations for tensile fracture phenomenon of cryorolled aluminium alloy 5754

Experimental and extended finite element simulations for tensile fracture phenomenon of cryorolled aluminium alloy 5754

A Review on Nonlocal Theories in Fatigue Assessment of Solids

Subsurface fatigue crack tip strains in 7475‐T7351 aluminium alloy measured using stroboscopic neutron diffraction

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