How to GENERATE random distribution of inclusions in FEA using the Monte Carlo Methods

This video shows how to generate random distribution of inclusions within a material domain for use in FEA simulation. It uses the Monte Carlo Methods in achieving this. This video introduces the principles of the Monte Carlo methods before showing how this can be implemented within FEA for a material domain. Three important steps/stages of the Monte Carlo methods were introduced namely: (a) the Hard core model (b) Periodicity of material and (c) Heuristic improvements. The application of the Monte Carlo methods was shown so that one can create random distribution of inclusions within FEA. The video concludes by introducing MontCarlGen2D: a MATLAB-based software for implementing the Monte Carlo Methods for a material microstructure for a 2D RVE. #montecarlomethods #MonteCarlo #randomdistribution #cmvideos #MontCarlGen2D #abaqus #abaqustutorial Time stamps -------------------------------------- You can quickly navigate through the videos using these chapters. 00:00 Intro 00:51 Practical scenarios of randomness 01:56 Randomness in material behaviour 02:37 RVE of random distribution of particles 03:12 Monte Carlo Methods (MCM) 05:21 Applications of MCM 06:20 Implementation of MCM in FEA 07:05 Step 1: Hard Core Model 08:23 Step 2: Periodicity of Material 09:58 Step 3: Heuristic Improvements 12:12 MontCarlGen2D: A software for implementing MCM 14:12 Outro -------------------------------------- ?* DOWNLOAD LINK TO SOFTWARE -------------------------------------- * MontCarlGen2D: A software for creating random inclusions in 2D RVEs. (COMING SOON) ✔️*Link to Michael Okereke's Finite Element Applications textbook -------------------------------------- Okereke, M. and Keates, S., 2018. Finite element applications. Cham: Springer International Publishing AG. https://www.springer.com/gp/book/9783319671246 ??? CM Video Insider -------------------------------------- Become a CM Video Insider (100% free) to access modelling resources, advanced workshops, bonus trainings, behind the scene contents and regular CM Video updates: https://cmvideos.ck.page/16a99bd0e3 ? Subscribe -------------------------------------- If this is the kind of content you like, please do subscribe to this channel and click the notification button so when contents like this are made, you will be the first to see it. If you also have ideas of videos you want me to make, do suggest those in the comment section and I will consider them.

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