Volume 16, Issue 12 (2-2017)                   Modares Mechanical Engineering 2017, 16(12): 756-766 | Back to browse issues page

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Motamedi M, Zeinoddini M, Fakheri J. Closed form solutions for inelastic cyclic bending of steel tubulars using continuous stress-strain model. Modares Mechanical Engineering. 2017; 16 (12) :756-766
URL: http://mme.modares.ac.ir/article-15-2757-en.html
1- K.N. Toosi University of Technology
Abstract:   (3526 Views)
The current paper deals with the cyclic softening/hardening and strain ratcheting behavior of circular steel tubes under repeated inelastic pure bending. A relatively simple closed-form solution is proposed to tackle the problem. Key physical features involved are the elastic after-effect, accumulated cyclic (creep type) ovalisation of the cross-section, cyclic plasticity including the Bauschinger effect, cyclic softening/hardening of the material and ratcheting effect. The moment-curvature formulation of the tube is derived in an ovalised configuration. Tvergaard stress-strain relation is used to describe the elasto-plastic stress–strain relationship of the material. This continuous nonlinear constitutive model considerably abridges the solution. A combined nonlinear kinematic/nonlinear isotropic hardening rule is used to describe the cyclic uniaxial stress-strain. The analysis of the low cycle pure inelastic bending of the tube is performed under a curvature-control regime. The cycle by cycle growth (creep type) in the ovalization of the cross-section is modeled using a modified version of the Bailey–Norton creep law. The model predictions are examined against a number of available test data on the inelastic monotonic and cyclic bending of tubes and reasonable agreements are observed.
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Article Type: Research Article | Subject: Elasticity & Plasticity
Received: 2016/08/16 | Accepted: 2016/11/23 | Published: 2017/01/4

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