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The Finite Element Method in Heat Transfer Analysis

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TLDR
In this article, the authors present a time-stepping method for convective heat transfer with phase change problems and linear Steady State Problems, and a non-linear heat-conduction analysis.
Abstract
Conduction Heat Transfer and Formulation. Linear Steady State Problems. Time Stepping Methods for Heat Transfer. Non--Linear Heat Conduction Analysis. Phase Change Problems----Solidification and Melting. Convective Heat Transfer. Nomenclature. Index.

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Numerical modelling of welding

TL;DR: In this article, the application of the finite element method to predict the thermal, material and mechanical effects of welding is described, and some recent applications are reviewed and future developments are discussed.
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A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities

TL;DR: A multidimensional peridynamic formulation for transient heat-transfer which exists even at sharp corners or when the isotherms are not smooth surfaces and converges to the classical heat transfer equations in the limit of the horizon going to zero.
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A review on natural convection in enclosures for engineering applications. The particular case of the parallelogrammic diode cavity

TL;DR: In this paper, a review of some results of research on natural convection in cavities is presented, which serves to underline the broad spectrum of scientific and engineering fields where the knowledge of natural convections in enclosures is advantageously applied.
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Finite element simulation of metal casting

TL;DR: Finite element algorithms for the entire casting process from the mould filling stage to the prediction of the final distorted shape are discussed in detail as discussed by the authors, with special emphasis on the coupling of the solidification analysis based on the heat conduction equation with fluid flow or thermal stress analysis.
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Simulation of shrinkage induced cracking in cement composite overlays

TL;DR: In this paper, a random lattice is used to model moisture transport in cement-based composites, and the scaling of the elemental diffusivity terms are based on a Voronoi discretization of the material domain.