A concise analytical treatment of elastic-plastic bending of a strain hardening curved beam

Date

2008-08-01

Author

Eraslan, Ahmet Nedim

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

192
views

0
downloads

Plane stress and plane strain analytical solutions to partially plastic deformation of a curved beam are presented. The beam has a narrow rectangular cross section and it is subjected to couples at its end sections prevailing pure bending conditions. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior. The solutions are verified in comparison to the ones available in the literature. It is shown that plane stress and plane strain solutions agree well in the elastic and in the elastic-plastic deformation stages. It is also observed that the changes in the dimensions of the beam as it deforms are negligibly small. (c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Subject Keywords

Applied Mathematics, Computational Mechanics

URI

https://hdl.handle.net/11511/43699

Journal

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

DOI

https://doi.org/10.1002/zamm.200600037

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Stress distributions in elastic-plastic rotating disks with elliptical thickness profiles using Tresca and von Mises criteria Eraslan, Ahmet Nedim (Wiley, 2005-04-01) Analytical and numerical solutions for the elastic-plastic stress distribution in rotating variable thickness solid and annular disks are obtained under plane stress assumption. The thickness of the disk is assumed to vary radially in elliptic form which represents a wide range of continuously variable nonlinear cross-sectional profiles. Tresca's yield criterion and its associated flow rule are used to obtain analytical solutions for a linear hardening material. A computational model is developed to obtain ...
A finite element variational multiscale method for the Navier-Stokes equations Volker, John; Kaya Merdan, Songül (Society for Industrial & Applied Mathematics (SIAM), 2005-01-01) This paper presents a variational multiscale method (VMS) for the incompressible Navier-Stokes equations which is defined by a large scale space L-H for the velocity deformation tensor and a turbulent viscosity nu(T). The connection of this method to the standard formulation of a VMS is explained. The conditions on L-H under which the VMS can be implemented easily and efficiently into an existing finite element code for solving the Navier - Stokes equations are studied. Numerical tests with the Smagorinsky ...
On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2006-01-01) Closed form solutions to functionally graded rotating solid shaft and rotating solid disk problems are obtained under generalized plane strain and plane stress assumptions, respectively. The nonhomogeneity in the material arises from the fact that the modulus of elasticity of the material varies radially according to two different continuously nonlinear forms: exponential and parabolic. Both forms contain two material parameters and lead to finite values of the modulus of elasticity at the center. Analytica...
An implicit three-dimensional numerical model to simulate transport processes in coastal water bodies Balas, L; Ozhan, E (Wiley, 2000-10-30) A three-dimensional baroclinic numerical model has been developed to compute water levels and water particle velocity distributions in coastal waters. The numerical model consists of hydrodynamic, transport and turbulence model components. In the hydrodynamic model component, the Navier-Stokes equations are solved with the hydrostatic pressure distribution assumption and the Boussinesq approximation. The transport model component consists of the pollutant transport model and the water temperature and salini...
A new boundary element formulation for wave load analysis Yalcin, O. Fatih; Mengi, Yalcin (Springer Science and Business Media LLC, 2013-10-01) A new boundary element (BEM) formulation is proposed for wave load analysis of submerged or floating bodies. The presented formulation, through establishing an impedance relation, permits the evaluation of the hydrodynamic coefficients (added mass and damping coefficients) and the coefficients of wave exciting forces systematically in terms of system matrices of BEM without solving any special problem, such as, unit velocity or unit excitation problem. It also eliminates the need for scattering analysis in ...

Citation Formats

A. N. Eraslan, “A concise analytical treatment of elastic-plastic bending of a strain hardening curved beam,” ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, pp. 600–616, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43699.