Analysis of Thermal Stresses and Metal Movement During Welding—Part I: Analytical Study

1975 ◽  
Vol 97 (1) ◽  
pp. 81-84 ◽  
Author(s):  
T. Muraki ◽  
J. J. Bryan ◽  
K. Masubuchi
Keyword(s):  
Finite Element ◽  
Variational Principle ◽  
Material Properties ◽  
Analytical Study ◽  
Thermal Stresses ◽  
Yield Criterion ◽  
Element Formulation ◽  
Two Dimensional ◽  
Butt Welding ◽  
Welding Part

This is the first part of a study of thermal stresses and metal movement during welding. This part discusses analysis of two-dimensional thermal stresses and metal movement during bead-on-plate and butt welding. A finite-element formulation has been derived, based on the variational principle. The formulation includes temperature dependence of material properties as well as the yield criterion.

Analysis of Thermal Stresses and Metal Movement During Welding—Part II: Comparison of Experimental Data and Analytical Results

1975 ◽  
Vol 97 (1) ◽  
pp. 85-91 ◽  
Author(s):  
T. Muraki ◽  
J. J. Bryan ◽  
K. Masubuchi
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Aluminum Alloy ◽  
Thermal Stresses ◽  
Two Dimensional ◽  
Element Analysis ◽  
Butt Welding ◽  
Analytical Results ◽  
The Finite Element Analysis ◽  
Welding Part

This is the second part of a study of thermal stresses and metal movement during welding. Part I described the finite-element analysis of two-dimensional thermal stresses and metal movement during bead-on-plate and butt welding. Part II presents results of experiments on bead-on-plate and butt welds in 6061-T6 aluminum alloy. Measurements were made of changes of temperature, thermal strains, and metal movement during welding. The paper then compares experimental data with analytical results. Good agreements were obtained between experimental and analytical results.

An Efficient 2-D Finite Element Procedure for Isothermal Phase Changes

1990 ◽  
Vol 112 (4) ◽  
pp. 352-360 ◽  
Author(s):  
S. Chandrasekar ◽  
S. Wang ◽  
H. T. Y. Yang
Keyword(s):  
Finite Element ◽  
Phase Transformation ◽  
Material Properties ◽  
Thermal Stresses ◽  
Phase Changes ◽  
Transient Temperature ◽  
Two Dimensional ◽  
Transient Temperature Distribution ◽  
Finite Element Procedure ◽  
Transformation Problems

An efficient finite element procedure is developed for the temperature and stress analyses of two-dimensional isothermal phase transformation problems such as solidification, melting, and solid-to-solid transformations, etc. This procedure uses adaptive remeshing along the element boundaries to track the discontinuities in the temperature gradient, the enthalpy, and the material properties, which exists across the phase transformation interface. The thermal stresses and the transient temperature distribution developed during solidification are calculated using this for several example problems. They are compared with the numerical and analytical solutions obtained for these problems by earlier investigators in order to demonstrate the efficiency and accuracy of this method, for the analysis of solidification problems, as well as its limitations.

A simplified numerical and analytical study for assessing the seismic response of a gravity concrete lock

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Neander Berto Mendes ◽  
Lineu José Pedroso ◽  
Paulo Marcelo Vieira Ribeiro
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Study ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Fluid Structure ◽  
Analytical Formulation ◽  
Acoustic Cavity ◽  
Water Chamber ◽  
Structure Problem

ABSTRACT: This work presents the dynamic response of a lock subjected to the horizontal S0E component of the El Centro earthquake for empty and completely filled water chamber cases, by coupled fluid-structure analysis. Initially, the lock was studied by approximation, considering it similar to the case of a double piston coupled to a two-dimensional acoustic cavity (tank), representing a simplified analytical model of the fluid-structure problem. This analytical formulation can be compared with numerical results, in order to qualify the responses of the ultimate problem to be investigated. In all the analyses performed, modeling and numerical simulations were done using the finite element method (FEM), supported by the commercial software ANSYS.

Finite Element Formulation for Two-Dimensional Inverse Heat Conduction Analysis

1992 ◽  
Vol 114 (3) ◽  
pp. 553-557 ◽  
Author(s):  
T. R. Hsu ◽  
N. S. Sun ◽  
G. G. Chen ◽  
Z. L. Gong
Keyword(s):  
Heat Flux ◽  
Finite Element ◽  
Heat Conduction ◽  
Surface Heat Flux ◽  
Surface Heat ◽  
Element Formulation ◽  
Two Dimensional ◽  
Inverse Heat Conduction ◽  
Discrete Point ◽  
Element Algorithm

This paper presents a finite element algorithm for two-dimensional nonlinear inverse heat conduction analysis. The proposed method is capable of handling both unknown surface heat flux and unknown surface temperature of solids using temperature histories measured at a few discrete point. The proposed algorithms were used in the study of the thermofracture behavior of leaking pipelines with experimental verifications.

scholarly journals Probability Study on the Thermal Stress Distribution in Thick HK40 Stainless Steel Pipe Using Finite Element Method

Designs ◽  
2019 ◽  
Vol 3 (1) ◽  
pp. 9
Author(s):  
Sujith Bobba ◽  
Shaik Abrar ◽  
Shaik Mujeebur Rehman
Keyword(s):  
Finite Element ◽  
Stainless Steel ◽  
High Temperature ◽  
Material Properties ◽  
Thermal Stresses ◽  
Steel Pipe ◽  
Stress Distributions ◽  
Stainless Steel Pipe ◽  
Deterministic Solution ◽  
Analytical Expressions

The present work deals with the development of a finite element methodology for obtaining the stress distributions in thick cylindrical HK40 stainless steel pipe that carries high-temperature fluids. The material properties and loading were assumed to be random variables. Thermal stresses that are generated along radial, axial, and tangential directions are generally computed using very complex analytical expressions. To circumvent such an issue, probability theory and mathematical statistics have been applied to many engineering problems, which allows determination of the safety both quantitatively and objectively based on the concepts of reliability. Monte Carlo simulation methodology is used to study the probabilistic characteristics of thermal stresses, and was implemented to estimate the probabilistic distributions of stresses against the variations arising due to material properties and load. A 2-D probabilistic finite element code was developed in MATLAB, and the deterministic solution was compared with ABAQUS solutions. The values of stresses obtained from the variation of elastic modulus were found to be low compared to the case where the load alone was varying. The probability of failure of the pipe structure was predicted against the variations in internal pressure and thermal gradient. These finite element framework developments are useful for the life estimation of piping structures in high-temperature applications and for the subsequent quantification of the uncertainties in loading and material properties.

Modelling of rotors with three-dimensional solid finite elements

2001 ◽  
Vol 36 (4) ◽  
pp. 359-371 ◽  
Author(s):  
A Nandi ◽  
S Neogy
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Cross Sections ◽  
Three Dimensional ◽  
Element Model ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Two Dimensional ◽  
Inertia Effects ◽  
Solid Finite Elements

A shaft is modelled using three-dimensional solid finite elements. The shear-deformation and rotary inertia effects are automatically included through the three-dimensional elasticity formulation. The formulation allows warping of plane cross-sections and takes care of gyroscopic effect. Unlike a beam element model, the present model allows the actual rotor geometry to be modelled. Shafts with complicated geometry can be modelled provided that the shaft cross-section has two axes of symmetry with equal or unequal second moment of areas. The acceleration of a point on the shaft is determined in inertial and rotating frames. It is found that the finite element formulation becomes much simpler in a rotating frame of reference that rotates about the centre-line of the bearings with an angular velocity equal to the shafts spin speed. The finite element formulation in the above frame is ideally suited to non-circular shafts with solid or hollow, prismatic or tapered sections and continuous or abrupt change in cross-sections. The shaft and the disc can be modelled using the same types of element and this makes it possible to take into account the flexibility of the disc. The formulation also allows edge cracks to be modelled. A two-dimensional model of shaft disc systems executing synchronous whirl on isotropic bearings is presented. The application of the two-dimensional formulation is limited but it reduces the number of degrees of freedom. The three-dimensional solid and two-dimensional plane stress finite element models are extensively validated using standard available results.

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