Three-dimensional heat transfer analysis of LENSTM process using finite element method

2009 ◽  
Vol 45 (9-10) ◽  
pp. 935-943 ◽  
Author(s):  
V. Neela ◽  
A. De
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Heat Transfer Analysis ◽  
Element Method

The Finite-Element Method—Part I

1989 ◽  
Author(s):  
Shiro Kobayashi ◽  
Soo-Ik Oh ◽  
Taylan Altan
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Ritz Method ◽  
Approximate Solutions ◽  
Plane Elasticity ◽  
Heat Transfer Analysis ◽  
Deformation Analysis ◽  
The Finite Element Method ◽  
Element Method

The concept of the finite-element procedure may be dated back to 1943 when Courant approximated the warping function linearly in each of an assemblage of triangular elements to the St. Venant torsion problem and proceeded to formulate the problem using the principle of minimum potential energy. Similar ideas were used later by several investigators to obtain the approximate solutions to certain boundary-value problems. It was Clough who first introduced the term “finite elements” in the study of plane elasticity problems. The equivalence of this method with the well-known Ritz method was established at a later date, which made it possible to extend the applications to a broad spectrum of problems for which a variational formulation is possible. Since then numerous studies have been reported on the theory and applications of the finite-element method. In this and next chapters the finite-element formulations necessary for the deformation analysis of metal-forming processes are presented. For hot forming processes, heat transfer analysis should also be carried out as well as deformation analysis. Discretization for temperature calculations and coupling of heat transfer and deformation are discussed in Chap. 12. More detailed descriptions of the method in general and the solution techniques can be found in References [3-5], in addition to the books on the finite-element method listed in Chap. 1. The path to the solution of a problem formulated in finite-element form is described in Chap. 1 (Section 1.2). Discretization of a problem consists of the following steps: (1) describing the element, (2) setting up the element equation, and (3) assembling the element equations. Numerical analysis techniques are then applied for obtaining the solution of the global equations. The basis of the element equations and the assembling into global equations is derived in Chap. 5. The solution satisfying eq. (5.20) is obtained from the admissible velocity fields that are constructed by introducing the shape function in such a way that a continuous velocity field over each element can be denned uniquely in terms of velocities of associated nodal points.

An adaptive Bernstein-Bézier finite element method for heat transfer analysis in welding

2020 ◽  
Vol 148 ◽  
pp. 102855
Author(s):  
Xuan Peng ◽  
Gang Xu ◽  
Ao Zhou ◽  
Yong Yang ◽  
Zhenwu Ma
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Heat Transfer Analysis ◽  
Element Method

Analysis of Heat Transfer and Straightening of Continuous Casting Slab Using 3D Finite Element Method

2011 ◽  
Vol 418-420 ◽  
pp. 1698-1702
Author(s):  
Qing Guo Liu ◽  
Xing Zhong Zhang ◽  
Zheng Yi Jiang ◽  
Yan Chao Sun ◽  
Bao Jun Shi ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Strain Rate ◽  
Three Dimensional ◽  
Three Dimension ◽  
Element Analysis ◽  
Strain And Strain Rate ◽  
Three Dimensional Finite Element ◽  
Element Method

The straightening of curved slab results in a greater straightening strain. During the process of multi-point straightening, the peak value of the straightening strain rate will appear at each straightening point. If the strain rate is too large, the straightening cracks will appear. Solidification and heat transfer of a slab is analyzed and the generation of the solidified shell and the three-dimension temperature field of the slab are calculated by using three-dimensional finite element method (FEM). Based on the finite element analysis of five-point straightening of the curved slab, the strain and strain rate of each straightening point were obtained, which is a base of the analysis of straightening cracks.

Nodeless variable finite element method for heat transfer analysis by means of flux-based formulation and mesh adaptation

2006 ◽  
Vol 22 (2) ◽  
pp. 138-147 ◽  
Author(s):  
Sutthisak Phongthanapanich ◽  
Suthee Traivivatana ◽  
Parinya Boonmaruth ◽  
Pramote Dechaumphai
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Mesh Adaptation ◽  
Heat Transfer Analysis ◽  
Element Method
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