Yielding and Elastoplastic Deformation of Annular Disks of a Parabolic Section Subject to External Compression

2005-01-01
A computational model is developed to predict partially plastic stresses in variable thickness annular disks subject to radial compression. The model is based on the von Mises' yield criterion, deformation theory of plasticity and a Swift type hardening law. Considering a thickness profile in the form of a general parabolic function, the condition of occurrence of plastic deformation at the inner and outer edges of the annular disk is investigated. A critical disk profile is determined and the corresponding elastic-plastic stress as well as the residual stress distribution is computed.
Turkish Journal of Engineering and Environmental Sciences

Suggestions

Von mises yield criterion and nonlinearly hardening variable thickness rotating annular disks with rigid inclusion
Eraslan, Ahmet Nedim (2002-09-01)
A computational model is developed to investigate inelastic deformations of variable thickness rotating annular disks mounted on rigid shafts. The von Mises yield condition and its flow rule are combined with Swift's hardening law to simulate nonlinear hardening material behavior. An efficient numerical solution procedure is designed and used throughout to handle the nonlinearities associated with the von Mises yield condition and the boundary condition at the shaft-annular disk interface. The results of th...
Limit angular velocities of variable thickness rotating disks
Eraslan, Ahmet Nedim (2002-06-01)
Elastic and plastic limit angular velocities are calculated for rotating disks of variable thickness in power function form. Analytical solution is obtained and used to calculate elastic limit angular velocities of variable thickness rotating annular disks and annular disks with rigid inclusion. An efficient numerical solution procedure is designed and used to obtain the elastic limit angular velocities of variable thickness rotating solid disks. Von Mises yield criterion and its flow rule is used to estima...
A computational model for partially plastic stress analysis of orthotropic variable thickness disks subjected to external pressure
Eraslan, Ahmet Nedim; Yedekçi, Buşra (2014-04-01)
A computational model is developed to predict the states of stressand deformation in partially plastic, orthotropic, variable thickness, nonisothermal, stationary annular disks under external pressure. Assuming a state ofplane stress and using basic equations of mechanics of a disk, Maxwell relation,Hill’s quadratic yield condition, and a Swift type nonlinear hardening law, asingle governing differential equation describing the elastic and partially plasticresponse of an orthotropic, variable thickness, non...
Computer Solutions of Plane Strain Axisymmetric Thermomechanical Problems
Eraslan, Ahmet Nedim (2005-08-01)
A simple computational model is developed to estimate elastic, elastic-plastic, fully plastic, and residual stress states in generalized plane strain axisymmetric structures considering temperature dependent physical properties as well as nonlinear isotropic strain hardening. Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear differential equation governing thermoelastoplastic behavior is obtained. A shooting technique using Newton iter...
ELASTIC-PLASTIC STRESS ANALYSIS OF NONHOMOGENEOUS ROTATING SOLID DISCS
Eraslan, Ahmet Nedim; Gulgec, Mufit (2008-09-01)
A computational model is developed for the analysis of elastic and partially plastic stress states in functionally graded (FGM) variable thickness rotating solid disks. The modulus of elasticity, Poisson's ratio, uniaxial yield limit and density of the disk material are assumed to vary radially in any prescribed functional forms. Small deformations and a state of plane stress are presumed. Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlin...
Citation Formats
F. Akgül, “Yielding and Elastoplastic Deformation of Annular Disks of a Parabolic Section Subject to External Compression,” Turkish Journal of Engineering and Environmental Sciences, pp. 51–60, 2005, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/83187.