Complete Polynomial Displacement Fields for Finite Element Method

1968 ◽  
Vol 72 (687) ◽  
pp. 245-246 ◽  
Author(s):  
P. C. Dunne
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Uniform Strain ◽  
Displacement Fields ◽  
Displacement Pattern ◽  
Displacement Patterns ◽  
Element Method

It is generally accepted that the displacement patterns chosen to represent the deformation of a finite element should be such that there is complete compatibility with adjacent elements. Although some writers have doubted the necessity for the complete satisfaction of compatibility away from the reference nodes, provided the displacement pattern is capable of assuming certain uniform strain states, the desirability of complete compatibility is not in question. The displacement fields suggested in this note satisfy complete compatibility.

An Overview of the Finite Element Method on the Tool-Soil Interacting Problem of Tillage

2014 ◽  
Vol 707 ◽  
pp. 397-400 ◽  
Author(s):  
Xiao Hong Liu ◽  
Yan Yu ◽  
Li Chun Qiu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Aided Design ◽  
High Efficiency ◽  
Low Cost ◽  
Dynamic Effect ◽  
Research Progress ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Element Method

This article introduced the up-to-date research progress on the tool-soil interacting problem of tillage; and investigated the situation of constitutive relation usage in the finite element method (FEM). A review including the dynamic effect on the performance of tillage operation with FEM has been conducted. It showed that the virtual reality method with FEM had made much progress in evaluating the tool draft, distribution position of stress and strain, displacement fields and acceleration in soil-tool interactions, soft ware package of computer aided design of tillage tools; it will be a low cost and high efficiency assistive tool in the development procedure of tillage tools, and can be applied to study and analyze the performance of resulting prototypes.

Evolution of Texture and Strain States in AA 3003 Sheet during Sandwich Rolling

2006 ◽  
Vol 116-117 ◽  
pp. 320-323
Author(s):  
Moo Young Huh ◽  
J.K. Kim ◽  
Jael Chul Lee ◽  
Han Gil Suk
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Property ◽  
Crystallographic Texture ◽  
Uniform Strain ◽  
Texture Formation ◽  
The Finite Element Method ◽  
Sandwich Rolling ◽  
Element Method

This work focuses on the strain states of the mid AA 3003 strip sandwiched in between either AA 3003 sheets or STS 430 sheets. For that purpose, the strain states at various through-thickness layers were analyzed by measurements of crystallographic texture and by simulations with the finite element method (FEM). During sandwich rolling, the material property of outer sheets of sandwich samples played an important role in the evolution of the strain states and the corresponding texture formation. In the mid AA 3003 sheets, rolling with the harder outer sheets gave rise to pronounced through-thickness texture gradients, whereas fairly uniform strain states prevailed during rolling with the outer sheets of the same AA 3003.

Geometrically Non-Linear Analysis of Composite Cylindrical Shells and Shallow Sphere Shell

2011 ◽  
Vol 71-78 ◽  
pp. 3303-3307
Author(s):  
Yan He ◽  
Xiu Qin Cui
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Procedure ◽  
Surface Displacement ◽  
Middle Surface ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Main Method ◽  
Surface Patches ◽  
Element Method

At present, the plate shell structure is broadly used in the engineering field, and the finite element method is the main method to analysis of the structural design. Because many variables are used in the finite element method and the computation is complex, this paper used Bezier surface patches as the admissible displacement fields to represent the shell’s middle surface displacement and rotation components, the deformation of the composite material cylindrical shell and shallow sphere shell under the loads are studied with a Semi-analytical procedure. The results show that semi-analytical and analytical procedure are in good agreement with the results of the analysis, it can be applied in the project.

scholarly journals APPLICATION OF QUARTER-POINT SINGULAR ELEMENT IN FINITE ELEMENT METHOD TO SIMULATION OF CRACK TIP BEHAVIOR

2010 ◽  
Vol 13 (2) ◽  
pp. 5-13
Author(s):  
Thien Tich Truong ◽  
Bang Kim Tran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Crack Tip ◽  
Singular Element ◽  
Displacement Fields ◽  
Mathematical Background ◽  
Stress And Displacement Fields ◽  
Calculation Results ◽  
Element Method

Fracture mechanics is a new branch in engineering. The development of modern mathematical background with different numerical methods has supported fracture mechanics to solve many complex fracture problems in practice effectively. This article introduces the application of quarter - point singular element in finite element method to simulate crack tip behavior in two dimensional problems. The ANSYS and FRANC2D programs are used to compute stress intensity factor, simulate the stress and displacement fields near crack tip and simulate crack propagation. The calculation results are compared with analytical results and the results in other articles.

scholarly journals Displacement fields denoising and strains extraction by finite element method

2011 ◽  
Vol 1 (1) ◽  
pp. 011004 ◽  
Author(s):  
B.Q. Guo ◽  
H.M. Xie ◽  
Y.J. Li ◽  
P.W. Chen ◽  
Q.M. Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Displacement Fields ◽  
Element Method

Geometrically Non-Linear Analysis of Composite Shell Structure Deformation

2012 ◽  
Vol 460 ◽  
pp. 381-384
Author(s):  
Yan He ◽  
Zheng Jian Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shell Structure ◽  
Analytical Procedure ◽  
Composite Shell ◽  
Surface Displacement ◽  
Middle Surface ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Element Method

At present, the shell structure is broadly used in the engineering field, and the finite element method is the main method to analysis of the structural design. Because many variables are used in the finite element method and the computation is complex, this paper used Bezier surface patches as the admissible displacement fields to represent the shell’s middle surface displacement and rotation components, the deformations of the composite shell under the loads are studied with a Semi-analytical procedure. The results show that semi-analytical and analytical procedure are in good agreement with the results of the analysis, it can be applied in the project.

GENERALIZED FINITE ELEMENT METHOD ON NONCONVENTIONAL HYBRID-MIXED FORMULATION

2012 ◽  
Vol 09 (03) ◽  
pp. 1250038 ◽  
Author(s):  
WESLEY GÓIS ◽  
SERGIO PERSIVAL BARONCINI PROENÇA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Patch Test ◽  
Partition Of Unity ◽  
Stability And Convergence ◽  
Necessary Condition ◽  
Generalized Finite Element Method ◽  
Displacement Fields ◽  
Generalized Finite Element ◽  
Element Method

The generalized finite element method (GFEM) is applied to a nonconventional hybrid-mixed stress formulation (HMSF) for plane analysis. In the HMSF, three approximation fields are involved: stresses and displacements in the domain and displacement fields on the static boundary. The GFEM–HMSF shape functions are then generated by the product of a partition of unity associated to each field and the polynomials enrichment functions. In principle, the enrichment can be conducted independently over each of the HMSF approximation fields. However, stability and convergence features of the resulting numerical method can be affected mainly by spurious modes generated when enrichment is arbitrarily applied to the displacement fields. With the aim to efficiently explore the enrichment possibilities, an extension to GFEM–HMSF of the conventional Zienkiewicz-Patch-Test is proposed as a necessary condition to ensure numerical stability. Finally, once the extended Patch-Test is satisfied, some numerical analyses focusing on the selective enrichment over distorted meshes formed by bilinear quadrilateral finite elements are presented, thus showing the performance of the GFEM–HMSF combination.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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