Testing the asymptotic behaviour of shell elements?Part I: the classical benchmark tests

2002 ◽  
Vol 54 (3) ◽  
pp. 421-452 ◽  
Author(s):  
D. Briassoulis
Keyword(s):  
Asymptotic Behaviour ◽  
Shell Elements ◽  
Benchmark Tests

On Pipe Elbow Elements in ABAQUS and Benchmark Tests

2014 ◽  
Author(s):  
Lingfu Zeng ◽  
Lennart G. Jansson ◽  
Yordan Venev
Keyword(s):  
Peak Stress ◽  
Coarse Mesh ◽  
Pipe Bend ◽  
Shell Elements ◽  
Finite Element Software ◽  
Pipe Elbow ◽  
Element Size ◽  
Benchmark Tests ◽  
Pipe Section ◽  
Insight Into

In this paper, elbow elements in commercial finite element software ABAQUS are reviewed and two commonly used elements, ELBOW31 (2-node, linear) and ELBOW32 (3-node, quadratic), are numerically tested for two Benchmark examples: a cantilever pipe and an in-plane bending pipe bend. Two main issues are studied through the numerical tests: (1) The effect of the element size and the number of ovalization modes chosen for computation; (2) The accuracy of computed deformation and stresses. To gain an insight into the behavior of these elements, a comparison against published results by experiment and computations using elbow elements in software ADINA and MARC, as well as computations using ABAQUS shell elements, is conducted. It is shown that: (i) these elements predict a good peak stress solution with a reasonably coarse mesh and 6 ovalization modes; (ii) the ovalization and the distribution of stresses predicted around the pipe section show, though using a relatively dense mesh, a notable difference as compared to solutions computed by ABAQUS shell elements; (iii) the ADINA elbow element seems to provide, though using a very coarse mesh, a solution closest to analytic and experimental results. It is concluded that there are great needs for in-depth studies on elbow elements regarding reliability and accuracy issues.

scholarly journals High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments

2018 ◽  
Vol 35 (7) ◽  
pp. 2543-2556 ◽  
Author(s):  
Yan Shang ◽  
Song Cen ◽  
Zheng-Hua Qian ◽  
Chenfeng Li
Keyword(s):  
High Performance ◽  
Penalty Function Method ◽  
Membrane Element ◽  
Test Functions ◽  
New Approach ◽  
Content Type ◽  
Shell Elements ◽  
Benchmark Tests ◽  
Reasonable Choice ◽  
Rotation Motion

PurposeThis paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems.Design/methodology/approachThis new element is developed within the general framework of unsymmetric FEM. The element test functions are determined by using a conforming displacement field which is slightly different with the classical Allman’s interpolations, while a self-equilibrated stress field formulated based on the analytical airy stress solutions is adopted as the trial functions. To ensure the correctness between the drilling DOFs and the true rotations in elasticity, reasonable constraints are introduced through the penalty function method. Moreover, the special quadrature strategy is used for operating related integrations for future enrichment of element behavior.FindingsNumerical benchmark tests reveal that this new triangular membrane element has exceptional prediction capabilities. In particular, this element can correctly reproduce a rigid body rotation motion and correctly undertake the external in-plane twisting moments; thus, it is a reasonable choice for being used to formulate flat shell elements or to be connected with other kind of elements with physical rotational DOFs.Originality/valueThis work provides a new approach for developing high-performance lower-order elements with simple formulations and good numerical accuracies.

On Pipe Elements Currently Available for Nuclear Power Piping Analysis and Their Benchmark Tests

2012 ◽  
Author(s):  
Lingfu Zeng ◽  
Lennart G. Jansson
Keyword(s):  
Nuclear Power ◽  
Beam Theory ◽  
Complex Loading ◽  
Nuclear Regulatory Commission ◽  
General Purpose ◽  
Early Years ◽  
Shell Elements ◽  
Finite Element Software ◽  
Benchmark Tests ◽  
Regulatory Commission

In this paper, an overview is given for various pipe elements currently available in commercial general-purpose finite element software, such as ADINA, ANSYS and ABAQUS and several others, with respect to their formulations, applications and limitations. Throughout the overview, a comparison to piping analysis based on a usual 3-diemnsional beam theory, which appears in many software particularly developed in early years for piping analysis is made. Benchmark tests ranging from simple to relative complex nuclear piping systems, given by US Nuclear Regulatory Commission (NRC), are taken for addressing three key concerns in nuclear piping analysis: reliability, accuracy and effectivity. It is demonstrated that: (1) piping analysis using software developed purely based on traditional curved beam theory can go wrong; and (2) a reliable piping analysis, in particular, for complex loading conditions and non-linear applications, can only be achieved by using so-called pipe-shell elements.

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