Elastic–plastic stress analysis of an orthotropic rotating disc

Çallıoğlu, Hasan; Topçu, Muzaffer; Tarakcilar, Ali Riza

doi:10.1016/j.ijmecsci.2006.03.008

Cited by 38 publications

(8 citation statements)

References 11 publications

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“…In particular, ξ p r and ξ p z are first eliminated by means of Equation (32). Then, the solutions of Equations (16), (23) and (25) are used to represent ψ, ξ θ , and χ, respectively, as functions of Ω at any value of ρ = ρ t . Therefore, the integrals involved in Equation (33) can be evaluated numerically.…”

Section: Elastic/plastic Strain Solutionmentioning

confidence: 99%

“…The boundary value problem is solved in a cylindrical coordinate system (r, θ, z) whose z axis coincides with the axis of symmetry of a thin annular rotating disk of constant thickness. The assumption of constant thickness is often adopted in theoretical analyses of rotating disks [21][22][23][24][25][26][27][28]. The outer and inner radii of the disk are denoted as b 0 and a 0 , respectively.…”

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confidence: 99%

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Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

2018

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Hill’s quadratic orthotropic yield criterion is used for revealing the effect of plastic anisotropy on the distribution of stresses and strains within rotating annular polar orthotropic disks of constant thickness under plane stress. The associated flow rule is adopted for connecting the stresses and strain rates. Assuming that unloading is purely elastic, the distribution of residual stresses and strains is determined as well. The solution for strain rates reduces to one nonlinear ordinary differential equation and two linear ordinary differential equations, even though the boundary value problem involves two independent variables. The aforementioned differential equations can be solved one by one. This significantly simplifies the numerical treatment of the general boundary value problem and increases the accuracy of its solution. In particular, comparison with a finite difference solution is made. It is shown that the finite difference solution is not accurate enough for some applications.

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Section: Elastic/plastic Strain Solutionmentioning

confidence: 99%

mentioning

confidence: 99%

Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

2018

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“…Plastic yielding is controlled by the Tsai-Hill yield criterion. This criterion is often used in applications [45][46][47][48][49]. Therefore, the material is initially anisotropic.…”

Section: Introductionmentioning

confidence: 99%

A Theory of Autofrettage for Open-Ended, Polar Orthotropic Cylinders

2019

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Autofrettage is a widely used process to enhance the fatigue life of holes. In the theoretical investigation presented in this article, a semi-analytic solution is derived for a polar, orthotropic, open-ended cylinder subjected to internal pressure, followed by unloading. Numerical techniques are only necessary to solve a linear differential equation and evaluate ordinary integrals. The generalized Hooke’s law connects the elastic portion of strain and stress. The flow theory of plasticity is employed. Plastic yielding is controlled by the Tsai–Hill yield criterion and its associated flow rule. It is shown that using the strain rate compatibility equation facilitates the solution. The general solution takes into account that elastic and plastic properties can be anisotropic. An illustrative example demonstrates the effect of plastic anisotropy on the distribution of stresses and strains, including residual stresses and strain, for elastically isotropic materials.

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“…Numerical studies on predicting earing phenomena in anisotropic aluminum have been performed [10]. In addition, orthotropic plastic deformation in fiber-reinforced composite disc under spinning has been analyzed [11].…”

Section: Introductionmentioning

confidence: 99%

Residual Stress Analysis of an Orthotropic Composite Cylinder under Thermal Loading and Unloading

et al. 2019

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Elastoplastic analysis of a composite cylinder, consisting of an isotropic elastic inclusion surrounded by orthotropic matrix, is conducted via numerical parametric studies for examining its residual stress under thermal cycles. The matrix is assumed to be elastically and plastically orthotropic, and all of its material properties are temperature-dependent (TD). The Hill’s anisotropic plasticity material model is adopted. The interface between the inclusion and matrix is perfectly bonded, and the outer boundary of the cylinder is fully constrained. A quasi-static, uniform temperature field is applied to the cylinder, which is analyzed under the plane-strain assumption. The mechanical responses of the composite cylinder are strongly affected by the material symmetry and temperature-dependent material properties. When the temperature-independent material properties are assumed, larger internal stresses at the loading phase are predicted. Furthermore, considering only yield stress being temperature dependent may be insufficient since other TD material parameters may also affect the stress distributions. In addition, plastic orthotropy inducing preferential yielding along certain directions leads to complex residual stress distributions when material properties are temperature-dependent.

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Elastic–plastic stress analysis of an orthotropic rotating disc

Cited by 38 publications

References 11 publications

Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

Effect of Plastic Anisotropy on the Distribution of Residual Stresses and Strains in Rotating Annular Disks

A Theory of Autofrettage for Open-Ended, Polar Orthotropic Cylinders

Residual Stress Analysis of an Orthotropic Composite Cylinder under Thermal Loading and Unloading

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