Thermo-Mechanical Response of Multilayered Cylinders Under Pressure and Thermal Loading With Generalized Plane Strain Condition

2019 ◽  
Vol 141 (2) ◽  
Author(s):  
Sang-Guk Kang ◽  
Kuao-John Young
Keyword(s):  
Finite Element ◽  
Plane Strain ◽  
Thermal Loading ◽  
Mechanical Response ◽  
Axial Direction ◽  
Plane Strain Condition ◽  
Strain Condition ◽  
Efficient Design ◽  
Element Analysis ◽  
Generalized Plane Strain

Multilayered cylindrical structures subject to pressure and thermal loading are commonly seen in many industries. In this study, the formulas for multilayered cylinders under pressure and thermal loading are derived with an assumption that the cylinders meet generalized plane strain condition, i.e., there is no external constraint in the axial direction and the axial growths of the cylindrical layers are the same. A numerical solution procedure for double-layered cylinders subject to both pressure and thermal load is developed and implemented in a mathcad program. To validate the solution, a finite element model for a double-layered cylinder is prepared with abaqus, and its responses under pressure and thermal loading are compared to those from the mathcad program. The algorithm of the method can be extended to three or more layered cylinders. The method developed in this study allows quick optimization and efficient design refinement for multilayered cylinders without running finite element analysis (FEA).

Thermo-Mechanical Response of Multi-Layered Cylinders Under Pressure and Thermal Loading With Generalized Plane Strain Condition

2016 ◽  
Author(s):  
Sang-Guk Kang ◽  
Kuao-John Young
Keyword(s):  
Plane Strain ◽  
Thermal Loading ◽  
Mechanical Response ◽  
Axial Direction ◽  
Element Model ◽  
Solution Procedure ◽  
Plane Strain Condition ◽  
Strain Condition ◽  
Cylindrical Structures ◽  
Generalized Plane Strain

Multi-layered cylindrical structures subject to pressure and thermal loading are commonly seen in many industries. In this study, the formulas for multi-layered cylinders under pressure and thermal loading are derived with an assumption that the cylinders meet generalized plane strain condition, i.e., there is no external constraint in the axial direction and the axial growths of the cylindrical layers are the same. A numerical solution procedure for double-layered cylinders subject to both pressure and thermal load is developed and implemented in a MathCAD® program. To validate the solution, a finite element model for a double-layered cylinder is prepared with ABAQUS®, and its responses under pressure and thermal loading are compared to those from the MathCAD® program. The algorithm of the method can be extended to three or more layered cylinders.

Finite Element Analysis of Clay Shear Band under Plane Strain Condition

2014 ◽  
Vol 638-640 ◽  
pp. 462-465
Author(s):  
Ji Yuan Liu ◽  
Tai Quan Zhou
Keyword(s):  
Finite Element ◽  
Shear Band ◽  
Plane Strain ◽  
Water Pressure ◽  
Plane Strain Condition ◽  
Horizontal Line ◽  
Strain Condition ◽  
Finite Element Software ◽  
Modified Cam Clay ◽  
Overconsolidated Clay

The clay shear band analysis under plane strain condition were based on modified cam clay model in finite element software ABAQUS. Normally Consolidated Clay and lightly overconsolidated clay were analyzed in the article. Loading speed, size of soil specimen, different consolidation state (Normally Consolidated Clay and lightly overconsolidated clay) are considered. These factors have effect on the distribution of Pore water pressure, the effective stress path of nodes in shear band and out of shear band and the angle between the shear band and horizontal line. All the differentia and effects were used to analyze the production conditions and formation mechanism of shear band. The results show that size of clay specimen can influence the number of shear band. When the height-width ratio is large, the number of shear band will increase.

Processing-Induced Stresses and Curvature in Patterned Lines on Silicon Wafers

1996 ◽  
Vol 436 ◽  
Author(s):  
Y. -L. Shen ◽  
S. Suresh ◽  
I. A. Blech
Keyword(s):  
Finite Element ◽  
Stress Field ◽  
Plane Strain ◽  
Thermal Loading ◽  
Model Systems ◽  
Experimental Measurements ◽  
Uniform Stress ◽  
Uniform Stress Field ◽  
Induced Stresses ◽  
Generalized Plane Strain

AbstractThe evolution of stresses due to the patterning and thermal loading of thin lines on Si wafers, and the consequent changes in the overall curvature of the wafer are studied theoretically and experimentally. The analysis involves finite element simulations within the context of generalized plane strain models. The analysis is capable of predicting the wafer curvature in directions parallel and perpendicular to the lines. These predictions compare reasonably well with experimental measurements of curvature made on model systems. The thickness, width and spacing of the patterned lines have been varied systematically, and the associated changes in the evolution of stresses and curvature have been determined. The non-uniform stress field within the fine lines is also analyzed.

Processing-Induced Stresses And Curvature In Patterned Lines On Silicon Wafers

1996 ◽  
Vol 428 ◽  
Author(s):  
Y-L. Shen ◽  
S. Suresh ◽  
I. A. Blech
Keyword(s):  
Finite Element ◽  
Stress Field ◽  
Plane Strain ◽  
Thermal Loading ◽  
Model Systems ◽  
Experimental Measurements ◽  
Uniform Stress ◽  
Uniform Stress Field ◽  
Induced Stresses ◽  
Generalized Plane Strain

AbstractThe evolution of stresses due to the patterning and thermal loading of thin lines on Si wafers, and the consequent changes in the overall curvature of the wafer are studied theoretically and experimentally. The analysis involves finite element simulations within the context of generalized plane strain models. The analysis is capable of predicting the wafer curvature in directions parallel and perpendicular to the lines. These predictions compare reasonably well with experimental measurements of curvature made on model systems. The thickness, width and spacing of the patterned lines have been varied systematically, and the associated changes in the evolution of stresses and curvature have been determined. The non-uniform stress field within the fine lines is also analyzed.

On the Use of a Plane-Strain Model to Solve Generalized Plane-Strain Problems

1997 ◽  
Vol 64 (1) ◽  
pp. 236-238 ◽  
Author(s):  
Shoufeng Hu ◽  
N. J. Pagano
Keyword(s):  
Finite Element ◽  
Plane Strain ◽  
Three Dimensional ◽  
Element Analysis ◽  
Out Of Plane ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Strain Model ◽  
Generalized Plane Strain ◽  
Plane Strain Model

Many composite problems are generalized plane strain in nature. They are often solved using three-dimensional finite element analyses. We propose a technique to solve these problems with a plane-strain model, which is achieved by introducing some artificial out-of-plane thermal strains in a two-dimensional finite element analysis. These artificial thermal strains are chosen such that an identical stress field is obtained, while the actual strains and displacements can also be determined.

scholarly journals Stator Non-Uniform Radial Ventilation Design Methodology for a 15 MW Turbo-Synchronous Generator Based on Single Ventilation Duct Subsystem

Energies ◽  
2021 ◽  
Vol 14 (10) ◽  
pp. 2760
Author(s):  
Ruiye Li ◽  
Peng Cheng ◽  
Hai Lan ◽  
Weili Li ◽  
David Gerada ◽  
...  
Keyword(s):  
Finite Element ◽  
Temperature Distribution ◽  
Design Methodology ◽  
Large Scale ◽  
Synchronous Generator ◽  
Axial Direction ◽  
Scale Model ◽  
Element Analysis ◽  
Axial Temperature ◽  
Ventilation Duct

Within large turboalternators, the excessive local temperatures and spatially distributed temperature differences can accelerate the deterioration of electrical insulation as well as lead to deformation of components, which may cause major machine malfunctions. In order to homogenise the stator axial temperature distribution whilst reducing the maximum stator temperature, this paper presents a novel non-uniform radial ventilation ducts design methodology. To reduce the huge computational costs resulting from the large-scale model, the stator is decomposed into several single ventilation duct subsystems (SVDSs) along the axial direction, with each SVDS connected in series with the medium of the air gap flow rate. The calculation of electromagnetic and thermal performances within SVDS are completed by finite element method (FEM) and computational fluid dynamics (CFD), respectively. To improve the optimization efficiency, the radial basis function neural network (RBFNN) model is employed to approximate the finite element analysis, while the novel isometric sampling method (ISM) is designed to trade off the cost and accuracy of the process. It is found that the proposed methodology can provide optimal design schemes of SVDS with uniform axial temperature distribution, and the needed computation cost is markedly reduced. Finally, results based on a 15 MW turboalternator show that the peak temperature can be reduced by 7.3 ∘C (6.4%). The proposed methodology can be applied for the design and optimisation of electromagnetic-thermal coupling of other electrical machines with long axial dimensions.

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