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In order to predict the more accurate shape information of the melt pool in Selective Laser Melting (SLM), a new finite element temperature field simulations model is proposed. The simulations use a new heat source model that takes into…

Applied Physics · Physics 2021-06-08 Zhi Huang , Weibo Jia , Haoming Wang , Zhengtong Yang , Chao Li , Jie Liang , Yue Zhong

We present a data-driven, differentiable neural network model designed to learn the temperature field, its gradient, and the cooling rate, while implicitly representing the melt pool boundary as a level set in laser powder bed fusion. The…

We provide an analytical solution of the heat equation in the half-space subject to a moving Gaussian heat flux with piecewise constant parameters. The solution is of interest in powder bed fusion applications where these parameters can be…

Numerical Analysis · Mathematics 2019-01-31 Robert Forslund , Anders Snis , Stig Larsson

The standard Caldeira-Leggett model addresses the problem of Brownian motion in a thermal equilibrium environment. Here, we look for generalizations of the Caldeira-Leggett model to account for thermal gradients in the environment. We…

Quantum Physics · Physics 2026-03-31 Daniel Valente , Maurício Matos , Thiago Werlang

A multiphysics modeling approach for heat conduction in metal hydride powders is presented, including particle shape distribution, size distribution, granular packing structure, and effective thermal conductivity. A statistical geometric…

Soft Condensed Matter · Physics 2014-11-03 Kyle C. Smith , Timothy S. Fisher

The usefulness of semi-analytical thermal models for predicting the connection between process, microstructure and properties in powder bed fusion has been well illustrated in recent years. Such an approach provides the promise of accuracy…

Materials Science · Physics 2024-04-05 Shaun R. Cooke , Chadwick W. Sinclair , Daan M. Maijer

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

The thermal and mechanical behaviors of powders are important for various additive manufacturing technologies. For powder bed fusion, capturing the temperature profile and the packing structure of the powders prior to melting is challenging…

Soft Condensed Matter · Physics 2024-02-26 Sudeshna Roy , Hongyi Xiao , Vasileios Angelidakis , Thorsten Pöschel

In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…

Additive manufacturing and welding processes are highly sensitive to heat dissipation, where improper thermal management leads to residual stresses, distortions, and cracking. Existing heat transfer models, such as Rosenthal's solutions,…

Mathematical Physics · Physics 2026-04-24 Fawzi Aly , Alex Kitt , Luke Mohr

In context of laser powder bed fusion (L-PBF), it is known that the properties of the final fabricated product highly depend on the temperature distribution and its gradient over the manufacturing plate. In this paper, we propose a novel…

Artificial Intelligence · Computer Science 2023-01-31 Ashkan Mansouri Yarahmadi , Michael Breuß , Carsten Hartmann

The generalized Graetz problem refers to stationary convection-diffusion in uni-directional flows. In this contribution we demonstrate the ana-lyticity of generalized Graetz solutions associated with layered domains: either cylindrical…

Numerical Analysis · Mathematics 2020-02-14 Charles Pierre , Franck Plouraboué

The variety and complexity of heterogeneous materials in the engineering practice are continuously increasing, open-cell metal foams filled with phase change materials are typical examples. These are also having an impact on the recent…

Applied Physics · Physics 2023-07-03 Robert Kovacs

We introduce a symmetric, gradient exclusion process within the class of non-cooperative kinetically constrained lattice gases, modelling a non-linear diffusivity in which the exchange of occupation values between two neighbouring sites…

Probability · Mathematics 2025-04-18 G. S. Nahum

We analyze the non-Fourier dual-phase-lag heat conduction process in a three-dimensional medium heated by a moving circular or annular laser beam, which is modeled by a set of point heat sources in the cross-section. In order to solve the…

Classical Physics · Physics 2023-08-08 Kaiyuan Chen , Longkun Fan , Zhicheng Hu , Yixin Xu

This study presents novel predictive models using Graph Neural Networks (GNNs) for simulating thermal dynamics in Laser Powder Bed Fusion (L-PBF) processes. By developing and validating Single-Laser GNN (SL-GNN) and Multi-Laser GNN (ML-GNN)…

Machine Learning · Computer Science 2024-07-22 Riddhiman Raut , Amit Kumar Ball , Amrita Basak

Neutral particles in the plasma edge of fusion devices based on magnetic confinement are described by a transient kinetic equation incorporating ionization, recombination, and charge-exchange collisions. In charge-exchange dominated…

Plasma Physics · Physics 2023-06-29 Vince Maes , Wouter Dekeyser , Julian Koellermeier , Martine Baelmans , Giovanni Samaey

Diffusion models are getting popular in generative image and video synthesis. However, due to the diffusion process, they require a large number of steps to converge. To tackle this issue, in this paper, we propose to perform the diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Yuanhao Gong

To determine the electron heat flux density on macroscopic scales, the most widely used approach is to solve a diffusion equation through a multi-group technique. This method is however restricted to transport induced by temperature…

In this paper, we focus on the study of heat transfer behavior for the dual-phase-lag heat conduction model, which describes the evolution of temperature in a two-dimensional rectangular plate caused by the activity of a point heat source…

Analysis of PDEs · Mathematics 2023-08-22 Kaiyuan Chen , Zhicheng Hu
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