Elastoplastic analysis of nonlinearly hardening variable thickness annular disks under external pressure

2005-05-01
Based on von Mises' yield criterion, deformation theory of plasticity and Swift's hardening law, elasto-plastic deformation of variable thickness annular disks subjected to external pressure is studied. A nonlinear shooting method using Newton's iterations with numerically approximated tangent is designed for the solution of the problem. 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 stresses as well as the residual stress distribution upon removal of the applied pressure are computed and discussed.
MECHANICS RESEARCH COMMUNICATIONS

Suggestions

Contact mechanics problem between an orthotropic graded coating and a rigid punch of an arbitrary profile
ARSLAN, ONUR; Dağ, Serkan (Elsevier BV, 2018-01-01)
Singular integral equation (SIE) and finite element methods are developed for sliding contact analysis of a finite thickness orthotropic graded coating, which is perfectly bonded to an isotropic substrate. Orthotropic stiffness coefficients of the coating vary exponentially through the coating thickness. The coating is assumed to be loaded by a frictional rigid punch of an arbitrary profile. In the SIE formulation, governing partial differential equations are derived in accordance with the theory of plane e...
Thermoplastic response of a linearly hardening cylinder subjected to nonuniform heat source and convective boundary condition
Eraslan, Ahmet Nedim (Informa UK Limited, 2004-05-01)
An analytical model based on Tresca's yield criterion and its L associated flow rule is developed to analyze the thermoelastoplastic response of a linearly hardening cylinder subjected to a nonuniform heat source and convective heat transfer condition at the external boundary. Closed form solutions are obtained for a state of generalized plane strain in different stages of elastic-plastic deformation. Considering a cylinder that is constrained axially, the plastic deformation commences at the axis and depen...
Multi-scale characterization of particle clustering in discontinuously reinforced composites
CETIN, Arda; Kalkanlı, Ali (Elsevier BV, 2009-06-01)
The applicability of a quantitative characterization scheme for cluster detection in particle reinforced composites is discussed. The method considers the pattern from the perspective of individual particles, so that even in a pattern that globally conforms to a random distribution, micro-scale heterogeneities can be detected. The detected clusters are visualized by kernel surfaces. Results indicate that the presented methodology is an effective discriminator of clusters and can successfully be used for qua...
Stress distributions in energy generating two-layer tubes subjected to free and radially constrained boundary conditions
Eraslan, Ahmet Nedim; Argeso, H (Elsevier BV, 2003-03-01)
Analytical solutions are obtained for thermally induced axisymmetric elastic and elastic-plastic deformations in heat generating composite tubes having a free inner and a radially constrained outer boundaries. Tresca's yield condition and its associated flow rule are used to determine the elastic-plastic response of the assembly. Depending on the physical properties of the materials used, eight different plastic regions with different mathematical forms of the yield condition may occur in the assembly. The ...
Mechanical behaviour of Al2O3-ZrO2 minicomposite reinforced glass matrix optomechanical composite
Dericioğlu, Arcan Fehmi (Informa UK Limited, 2003-08-01)
To understand the effect of a 'mesh-structured reinforcement' on the optical and mechanical properties of optomechanical composites, a unidirectional Al2O3 fibre-ZrO2 matrix minicomposite reinforced glass matrix optomechanical composite has been fabricated. By regular alignment of the minicomposites in the glass matrix as part of the 'mesh structure' a high degree of optical transparency is obtained in the composite; this transparency is proportional to its 'optical window' regions. The mesh structured rein...
Citation Formats
A. N. Eraslan and U. Guven, “Elastoplastic analysis of nonlinearly hardening variable thickness annular disks under external pressure,” MECHANICS RESEARCH COMMUNICATIONS, pp. 306–315, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46244.