Elasto-plastic deformation analysis of rotating disc beyond its limit speed

Toussi, Hamid Ekhteraei; RezaeiFarimani, Mahdi

doi:10.1016/j.ijpvp.2011.11.001

Cited by 24 publications

(7 citation statements)

References 13 publications

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“…To solve the di erential equation by the nite di erence method, derivatives of the displacement component in the radial direction are replaced by Eqs. (19) and (20). Finally, the nite di erence form of the di erential equation is expressed as follows: Finally, a system of linear algebraic equations is obtained.…”

Section: Semi-analytical Methods 41 Elastic Solutionmentioning

confidence: 99%

“…Theoretical research into the behavior of such structures has received appreciable focus, and the topic has been considered in many standard and advanced textbooks [1][2][3][4], which mostly concentrate on the analytical method andnite element simulations [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Furthermore, to the knowledge of the authors, no research work has been presented on the e ects of ductile damage on the plastic behavior and limit angular velocity of a rotating disk.…”

Section: Introductionmentioning

confidence: 99%

“…Hojjati et al considered functionally graded rotating disks subjected to thermo-mechanical loadings by Variable Material Properties (VMP), Runge-Kutta's (RK) and Finite Element (FE) methods [19]. Ekhteraei Toussi et al [20] worked on the elastic-plastic deformation analysis of a rotating disk beyond its limit speed and demonstrated the di erence between the material models in the prediction of rotating disk plastic failure. Jafari et al [21] presented classical and modern optimization methods in minimum weight design of an elastic rotating disk with variable thickness and density.…”

Section: Introductionmentioning

confidence: 99%

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The Effect of Ductile Damage on Plastic Behavior of a Rotating Disk with Variable Thickness Subjected to Mechanical Loading

Alashti

Jafari

2016

Scientia Iranica

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Abstract. In this work, the e ect of ductile damage on distributions of strain and displacement components in rotating annular disks with variable thicknesses under plane stress conditions is studied using semi-analytical and nite element methods. The plastic behavior of disks under mechanical loading is studied on the basis of continuum damage mechanics. The semi-analytical method is developed using Prandtl-Reuss relations, the method of successive elastic solution, and the damage plasticity model proposed by Xue and Wierzbicki that is also used for nite element analysis. The proposed damage plasticity model incorporates the e ects of both hydrostatic stress and the Lode angle to de ne the fracture envelope. The results obtained by the semi-analytical method are then compared with the results obtained by the nite element method. Numerical calculations for di erent ranges of thickness parameter, with and without damage e ects, are carried out and the results are compared. It is shown that the damage has a signi cant e ect on values of maximum von Mises stress and the limit angular velocity of annular disks. Results of the present study con rm the credibility of the proposed model in predicting the damage limit angular velocity, and can be extended to other states of loading.

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Section: Semi-analytical Methods 41 Elastic Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Effect of Ductile Damage on Plastic Behavior of a Rotating Disk with Variable Thickness Subjected to Mechanical Loading

Alashti

Jafari

2016

Scientia Iranica

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“…A numerical solution based on Galerkin's error minimization principle to investigate the stresses in rotating disks having additional loading in the form of attached masses has been reported in [21]. Authors, in [22], studied the effect of geometry and material properties on the limit speeds of rotating disks with elastic-perfectly plastic and Ramberg-Osgood material model and reported the role of hardening exponent of Ramberg-Osgood equation in determining disk expansion. Limit speed of the disks is reported under different geometry and loading parameters of the disk.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

Limit elastic speeds of functionally graded annular disks

Sondhi¹,

Sanyal²,

Saha³

et al. 2018

FME Transactions

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Based on Variational principle, the limit elastic angular speed of rotating disk made of functionally graded material is reported. Assuming a series approximation following Galerkin's principle, the solution of the governing equation is obtained based upon von Mises failure criterion. The elasticity modulus, density and yield stress are assumed to vary according to power law with grading index in the range of-3.0 to 3.0. At grading index, n = 0.0, the disk assumes isotropic material behavior. The investigation reports the variation of limit elastic speed with grading parameter for a different ratio aspect of the annular disk and establishes the existence of optimum grading index at each ratio aspect. The location of yield initiation is also reported in each case and is observed to play a significant role in optimizing limit elastic speed. Further, the displacement, strain and stress states of the disks at limit elastic speed is also reported. The results are validated with benchmarks for the appropriate system parameter values. Due to Variational nature of the solution and ease of handling the non-linear failure criterion, the solution methodology is observed to be stable, simple and robust.

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“…Following the Gamer’s work, Guven 5 considered a variable thickness and density disc. Performing a semi-numerical elastic–plastic analysis, Ekhteraei Toussi and Rezaei Farimani 6 considered the limit speed of rotating discs.…”

Section: Introductionmentioning

confidence: 99%

Plastic limit speed of FGM disc due to the variation of temperature and material composition

Farimani

Toussi

2013

Journal of Reinforced Plastics and Composites

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The knowledge of manufacture and analysis of functionally graded materials provides the production of rotating discs with more optimized characteristics. These characteristics may include less weight and more stiffness that consequently get more speed in rotating discs. Thermal stresses can be destructive even in uniform and steady temperature in structures made of functionally graded material due to the changes in material properties. This research studies the thermo-mechanical aspects of plastic limit speed in functionally graded material discs. A functionally graded material disc consisting of an elastic ceramic as reinforcement material and a bilinear elastic–plastic metal as matrix is modeled and studied. It is assumed that a power law function controls the volume fraction distribution of ceramic as well as the variations of the thickness. The techniques of solution consisted of variable material property and Runge-Kutta methods. To validate the solutions, the results of the two methods are compared with the FEM solution of ANSYS software. Using different techniques, the effects of temperature and material distribution on the plastic limit speed of functionally graded material discs are investigated. The study shows the consequences of the presence and amount of ceramic in the failure of functionally graded material discs.

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Elasto-plastic deformation analysis of rotating disc beyond its limit speed

Cited by 24 publications

References 13 publications

The Effect of Ductile Damage on Plastic Behavior of a Rotating Disk with Variable Thickness Subjected to Mechanical Loading

The Effect of Ductile Damage on Plastic Behavior of a Rotating Disk with Variable Thickness Subjected to Mechanical Loading

Limit elastic speeds of functionally graded annular disks

Plastic limit speed of FGM disc due to the variation of temperature and material composition

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