scholarly journals Analysis of deformability modulus by linear and nonlinear elastic methods in ceramic structural masonry and mortars

Cerâmica ◽  
2020 ◽  
Vol 66 (379) ◽  
pp. 229-235 ◽  
Author(s):  
N. A. Cerqueira ◽  
M. T. Marvila ◽  
A. R. G. de Azevedo ◽  
J. Alexandre ◽  
G. C. Xavier ◽  
...  
Keyword(s):  
Linear Model ◽  
Nonlinear Models ◽  
Hydrated Lime ◽  
Elastic Analysis ◽  
Linear Elastic ◽  
Ceramic Blocks ◽  
Linear And Nonlinear ◽  
Nonlinear Elastic ◽  
Deformability Modulus

Abstract There are studies analyzing the parameters of structural masonry strength, however few are performed evaluating the interference of the mortar in the deformability parameters. The objective of this study was to verify the theories of elasticity (Hooke’s linear model and nonlinear models by Ghosh, Duffing, and Martin, Roth, and Stiehler) applied to structural masonry. Ceramic blocks were pressed and fired at 890 ºC and mortars prepared with the proportion 1:1:5:0.5:2 of cement: hydrated lime: sand: PVA binder: water. The materials were tested in compression individually and in prisms with and without the use of mortars. The results obtained with the linear elastic analysis were incoherent since the deformability modulus obtained for the mortar prisms was higher than those without mortar. Performing the analysis by nonlinear theories, it was found that the results obtained were more coherent, mainly by Duffing’s theory that uses one parameter for stiffness and another for damping of the material.

Stress Analysis and Design for Cyclic Loading

2000 ◽  
Vol 122 (4) ◽  
pp. 427-430
Author(s):  
P. Carter
Keyword(s):  
Thermal Loading ◽  
Limit Load ◽  
Elastic Analysis ◽  
Analysis And Design ◽  
Linear Elastic ◽  
Inelastic Analysis ◽  
Nonlinear Elastic Analysis ◽  
Comprehensive Framework ◽  
Nonlinear Elastic ◽  
Effective Design

A finite element implementation of rapid cycle analysis is described and demonstrated. It forms part of a comprehensive framework for static structural analysis which consists of: linear elastic analysis, limit load or nonlinear elastic analysis, and rapid cycle analysis. This approach allows for complex material and loading behavior, but is computationally more efficient and easier to perform than full inelastic analysis. It indicates more complex behavior than can be inferred from linear elastic analysis. The objective of this paper is to calculate shakedown, reverse plasticity, ratcheting, and the increase in strain rate as a result of cyclic mechanical and thermal loading. Results are presented in the form of interaction diagrams, similar to the O’Donnell-Porowski plot in the ASME BPV Code, which are effective design tools. [S0094-9930(00)01604-8]

On Turbulent Secondary Flows by Using Linear and Nonlinear k–ω Model

2000 ◽  
Author(s):  
B. Song ◽  
R. S. Amano
Keyword(s):  
Linear Model ◽  
Nonlinear Model ◽  
Vortex Structure ◽  
Rotational Speed ◽  
Nonlinear Models ◽  
Suction Side ◽  
Secondary Flows ◽  
Pressure Side ◽  
Square Duct ◽  
Linear And Nonlinear

Abstract In the present study, the fully developed turbulent secondary flows inside rotating and non-rotating square duct are numerically simulated using the linear and nonlinear k–ω models. For non-rotating duct, an eight-vortex structure is well captured by the nonlinear k–ω model. For rotating duct, it is interesting to notice that the two vortices are generated when Ro = 0.05, four vortices are presented when Ro = 0.15, and two vortices appeared when the rotational speed is increased up to Ro = 0.35. Although the linear and nonlinear models all produce reasonable results, the different results are also exhibited with these models. For example, the nonlinear model produces a stable effect in the pressure side and predicts less distortion region than the linear model. In the suction side, the linear k–ω model produces greater gradients than the linear model which seems to be realistic.

Comparison of Limit Load, Linear and Nonlinear FE Analyses of Stresses in a Large Nozzle-to-Shell Diameter Ratio Application

2004 ◽  
Author(s):  
Michael A. Porter ◽  
Steven R. Massey ◽  
Dennis H. Martens
Keyword(s):  
Limit Load ◽  
Diameter Ratio ◽  
Elastic Analysis ◽  
Tube Sheet ◽  
Finite Element Analyses ◽  
Linear Elastic ◽  
Modeling Techniques ◽  
Linear And Nonlinear ◽  
Load Analysis ◽  
Comparison Of The Results

The analyses address a nominal 62-inch diameter nozzle in a nominal 124-inch diameter shell with a reinforcement pad. The nozzle is in a channel of a heat exchanger. This results in stiffening of the shell (adjacent to the nozzle) by the tube sheet and the channel head. The results of a WRC 297 analysis, linear elastic analysis, limit load analysis and plastic analysis are compared. The finite element analyses were accomplished utilizing commercial software and typical modeling techniques. As there is significant variance in the results derived with the different methodologies, the authors discuss the comparison of the results.

On Turbulent Secondary Flows Inside Rotating Ducts Oriented at Certain Angles With Rotation Axis

2001 ◽  
Author(s):  
B. Song ◽  
R. S. Amano
Keyword(s):  
Linear Model ◽  
Rotation Axis ◽  
Nonlinear Models ◽  
Suction Side ◽  
Secondary Flows ◽  
Square Duct ◽  
Axis Of Rotation ◽  
Lower Left Corner ◽  
Left Corner ◽  
Linear And Nonlinear

In the present study, the fully developed turbulent secondary flows inside rotating square duct oriented at certain angles with axis of rotation are numerically simulated using the nonlinear k – ω models. For rotating duct with θ=0° angle between sidewall plane and axis of rotation, it is noteworthy that the two vortices are generated when Ro=0.05, four vortices are presented when Ro=0.15, and only two vortices are predicted when the rotational speed is increased up to Ro=0.35. For the purpose of comparison, the linear k – ω model is also employed. It is shown that the linear and nonlinear models all produce reasonable results. However, different results are also exhibited with the two models. For example, the nonlinear model predicts less distortion region than the linear model. On the suction side, the nonlinear k – ω model produces greater gradients than the linear model. For rotating ducts with θ=30° and θ=60°, it is noticed that the stronger rotation forces the lower momentum fluid to be confined near the lower left corner, and produces larger range of high mainstream velocities.

Comparison of linear and nonlinear models to estimate body weight of Pelibuey ewes from body measurements

2021 ◽  
Vol 53 (1) ◽  
Author(s):  
Rafael Macedo-Barragán ◽  
Victalina Arredondo-Ruiz ◽  
Carlos Haubi-Segura ◽  
Paola Castillo-Zamora
Keyword(s):  
Body Weight ◽  
Nonlinear Models ◽  
Body Measurements ◽  
Linear And Nonlinear

scholarly journals Variation Simulation of Fixtured Assembly Processes for Compliant Structures Using Piecewise-Linear Analysis

2005 ◽  
Author(s):  
Michael L. Stewart ◽  
Kenneth W. Chase
Keyword(s):  
Piecewise Linear ◽  
Element Model ◽  
Linear Analysis ◽  
Elastic Analysis ◽  
Variation Analysis ◽  
Linear Elastic ◽  
Final Assembly ◽  
Compliant Part ◽  
Assembly Operations ◽  
Variation Simulation

While variation analysis methods for compliant assemblies are becoming established, there is still much to be done to model the effects of multi-step, fixtured assembly processes statistically. A new method is introduced for statistically analyzing compliant part assembly processes using fixtures. This method yields both a mean and a variant solution, which can characterize an entire population of assemblies. The method, called Piecewise-Linear Elastic Analysis, or PLEA, is developed for predicting the residual stress, deformation and springback variation resulting from fixtured assembly processes. A comprehensive, step-by-step analysis map is presented for introducing dimensional and surface variations into a finite element model, simulating assembly operations, and calculating the error in the final assembly. PLEA is validated on a simple, laboratory assembly and a more complex, production assembly. Significant modeling issues are resolved as well as the comparison of the analytical to physical results.

Implementation of p and h-p Versions of the Finite Element Method

1992 ◽  
Author(s):  
Ye-Chen Lai ◽  
Timothy C. S. Liang ◽  
Zhenxue Jia
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Elastic Analysis ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Shape Functions ◽  
Linear Elastic ◽  
Finite Element Software ◽  
Analysis Process ◽  
Adaptive Analysis

Abstract Based on hierarchic shape functions and an effective convergence procedure, the p-version and h-p adaptive analysis capabilities were incorporated into a finite element software system, called COSMOS/M. The range of the polynomial orders can be varied from 1 to 10 for two dimensional linear elastic analysis. In the h-p adaptive analysis process, a refined mesh are first achieved via adaptive h-refinement. The p-refinement is then added on to the h-version designed mesh by uniformly increasing the degree of the polynomials. Some numerical results computed by COSMOS/M are presented to illustrate the performance of these p and h-p analysis capabilities.

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