Micromechanical elastoplastic limit analysis of in-plane bending of Functionally Graded Pipe elbows

2022 ◽  
Vol 171 ◽  
pp. 108778
Author(s):  
Marcelo S. Medeiros ◽  
Leonardo Gonçalves Ribeiro
Keyword(s):  
Limit Analysis ◽  
Functionally Graded ◽  
Plane Bending

Comparison of Plastic Loads for Elbows With Experimental Data

2011 ◽  
Author(s):  
Jae-Jun Han ◽  
Kuk-Hee Lee ◽  
Yun-Jae Kim ◽  
Peter J. Budden ◽  
Tae-Eun Jin
Keyword(s):  
Experimental Data ◽  
Limit Analysis ◽  
Plastic Limit ◽  
Finite Element Program ◽  
Limit Loads ◽  
Closed Form Solutions ◽  
Perfectly Plastic ◽  
Comparison Results ◽  
Out Of Plane ◽  
Plane Bending

Finding plastic (limit) loads for elbows under various loading conditions such as in-plane bending and out-of-plane bending is not an easy task due to complexities involved in plastic analyses. Considering complexities involved in plastic limit analysis of elbow, deriving analytical solutions of plastic loads for elbows would be extremely difficult. So, recently the limit analysis using finite element program has been widely adopted. Based on extensive and systematic FE limit analyses using elastic-perfectly plastic materials, closed-form solutions of plastic loads for defect-free elbows under in-plane closing, in-plane opening and out-of-plane bending were presented. This paper summarizes the well-known criteria for finding plastic (limit) loads proposed by ASME BPVC Sec.III [1], Zahoor [4], Chattopadhyay et al. [17] and Kim et al. [19] The purpose of this paper is to integrate and improve the proposed solutions by Kim et al. Also, comparison results with published experimental data are presented. From these results, the pros and cons of each criterion for finding plastic (limit) loads for elbows are discussed.

Creep Behavior of Functionally Graded Material under In-Plane Bending Moment

2007 ◽  
Vol 353-358 ◽  
pp. 449-452 ◽  
Author(s):  
Jian Jun Chen ◽  
Fu Zhen Xuan ◽  
Zheng Dong Wang ◽  
Shan Tung Tu
Keyword(s):  
Creep Behavior ◽  
Functionally Graded Material ◽  
Volume Fraction ◽  
Beam Theory ◽  
Bending Moment ◽  
Functionally Graded ◽  
Basic Knowledge ◽  
Creep Stress ◽  
Graded Material ◽  
Plane Bending

The creep behavior of functionally graded material under in-plane bending moment is investigated in this paper. By extending the classic beam theory an analytical model is proposed to predict the distributions of creep strain and creep stress inside the functionally graded material according to the relationship between the inclusion volume fraction and composite creep coefficient. The analytical solution agrees well with the results obtained by the finite element method and the basic knowledge about time-dependent behavior of functionally graded material is achieved to guide its design and fabrication.

scholarly journals Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole

2020 ◽  
Vol 10 (7) ◽  
pp. 2231 ◽  
Author(s):  
Quanquan Yang ◽  
He Cao ◽  
Youcheng Tang ◽  
Bo Yang
Keyword(s):  
Elastic Properties ◽  
Circular Hole ◽  
Perforated Plate ◽  
Functionally Graded ◽  
Thin Plates ◽  
Special Cases ◽  
Out Of Plane ◽  
Plane Bending ◽  
The Moment ◽  
Selection Of

The out-of-plane bending problems of functionally graded thin plates with a circular hole are studied for two-dimensional deformations. The thin plates have arbitrary variations of elastic properties along the radial direction. The general solutions of the stresses and moments are presented for the plates subjected to remote bending moments based on the theory of complex variable functions. Two different cases—a whole functionally graded plate with a circular hole and a functionally graded ring reinforced in a homogeneous perforated plate—are considered by numerical examples. The influence of parameters like Young’s modulus and Poisson’s ratio, function types of these elastic properties, and width of the reinforcing ring on the moments around the hole is presented. It is shown that the moment concentration, caused by the geometric discontinuity of the hole in the traditional homogeneous plate, can be well relieved or even eliminated by careful selection of the above parameters. The results for some special cases are compared with previous literatures and are found in good agreement.

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