scholarly journals A new multifield finite element method in steady state heat analysis

2005 ◽  
Vol 9 (1) ◽  
pp. 111-130 ◽  
Author(s):  
Dubravka Mijuca ◽  
Ana Ziberna ◽  
Bojan Medjo
Keyword(s):  
Finite Element Method ◽  
Heat Flux ◽  
Finite Element ◽  
Thermal Loading ◽  
Mixed Finite Element ◽  
Finite Element Approach ◽  
Benchmark Tests ◽  
Element Approach ◽  
Steady State Heat ◽  
Solid Bodies

A new original primal-mixed finite element approach and related hexahedral finite element HC:T/q for the analysis of behavior of solid bodies under thermal loading is presented. The essential contributions of the present approach is the treatment of temperature and heat flux as fundamental variables that are simultaneously calculated, as well as capability to introduce initial and prescribed temperature and heal flux. In order to minimize accuracy error and enable introductions afflux constraints, the tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to some standard benchmark tests in order to test convergence of the results, which enlighten the effectiveness and reliability of the approach proposed.

The Support of Horizontal Vessels Containing High-Temperature Fluids—A Design Study

1998 ◽  
Vol 120 (3) ◽  
pp. 232-237 ◽  
Author(s):  
A. S. Tooth ◽  
J. S. T. Cheung ◽  
L. S. Ong ◽  
H. W. Ng ◽  
C. Nadarajah
Keyword(s):  
Finite Element ◽  
High Temperature ◽  
Thermal Loading ◽  
Maximum Stress ◽  
Small Displacement ◽  
Finite Element Approach ◽  
Supporting Structure ◽  
Linear Elastic ◽  
Design Charts ◽  
Element Approach

This paper investigates the behavior of horizontal cylindrical vessels, subjected to thermal loading by high-temperature fluid, where the saddles are fixed to the supporting structure. In order to determine an optimum saddle design, three widely used saddle configurations, with differing saddle heights and top saddle plate extensions, are explored. Thereafter, one of the saddle designs is selected to illustrate a decoupling procedure, for the radial and axial expansions, whereby design charts are obtained to derive the maximum stress values for a range of vessel geometries. The finite element approach, using linear elastic, small displacement analysis, is used throughout.

A Finite Element Approach for Nonhomogeneous Nonlocal Elastic Problems

2008 ◽  
Author(s):  
Aurora Pisano ◽  
Alba Sofi ◽  
Paolo Fuschi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlocal Elasticity ◽  
Elastic Moduli ◽  
Strain Difference ◽  
Relevant Literature ◽  
Stiffness Tensor ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Element Approach

The paper deals with the implementation of a method, known in the relevant literature as Nonlocal Finite Element Method, for solving 2D boundary value problems in the context of nonhomogeneous nonlocal elasticity. The method, founded on a consistent thermodynamic formulation, is here improved making use of a phenomenological strain-difference-based nonhomogeneous nonlocal elasticity model. The latter assumes a two components local/nonlocal constitutive relation in which the stress is conceived as the sum of two contributions governed by the standard elastic moduli tensor and by a nonlocal stiffness tensor, respectively. Two numerical examples are presented and the obtained results are discussed both to verify the reliability of the method and to show its potential and limits for the analysis of nonhomogeneous nonlocal elastic problems.

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