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An Introduction to the Finite Element Method for Differential Equations

Posted By: AvaxGenius
Date: 25 Apr 2024 13:41:22
An Introduction to the Finite Element Method for Differential Equations

An Introduction to the Finite Element Method for Differential Equations by M. Asadzadeh
English | PDF | 2020 | 335 Pages | ISBN : 11196716473 | 30 MB

MOHAMMAD ASADZADEH, PHD is Professor of Applied Mathematics at the Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg. His primary research interests include the numerical analysis of hyperbolic pdes, as well as convection-diffusion and integro-differential equations.
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One-Dimensional Finite Elements: An Introduction To The Method

Posted By: AvaxGenius
Date: 30 Dec 2023 21:56:29
One-Dimensional Finite Elements: An Introduction To The Method

One-Dimensional Finite Elements: An Introduction To The Method by Markus Merkel , Andreas Öchsner
English | PDF EPUB (True) | 2023 | 473 Pages | ISBN : 3662667576 | 38.5 MB

The basic idea of this introduction to the finite element method is based on the concept of explaining the complex method using only one-dimensional elements. Thus, the mathematical description remains largely simple and straightforward. The emphasis in each chapter is on explaining the method and understanding it itself. The reader learns to understand the assumptions and derivations in various physical problems in structural mechanics and to critically assess the possibilities and limitations of the finite element method.
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Guidelines for Applying Cohesive Models to the Damage Behaviour of Engineering Materials and Structures

Posted By: AvaxGenius
Date: 19 Apr 2023 15:36:29
Guidelines for Applying Cohesive Models to the Damage Behaviour of Engineering Materials and Structures

Guidelines for Applying Cohesive Models to the Damage Behaviour of Engineering Materials and Structures by Karl-Heinz Schwalbe , Ingo Scheider , Alfred Cornec
English | PDF | 2013 | 96 Pages | ISBN : 3642294936 | 5.1 MB

This brief provides guidance for the application of cohesive models to determine damage and fracture in materials and structural components. This can be done for configurations with or without a pre-existing crack. Although the brief addresses structural behaviour, the methods described herein may also be applied to any deformation induced material damage and failure, e.g. those occurring during manufacturing processes. The methods described are applicable to the behaviour of ductile metallic materials and structural components made thereof. Hints are also given for applying the cohesive model to other materials.
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Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

Posted By: AvaxGenius
Date: 18 Apr 2023 11:02:39
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book by Anders Logg, Kent-Andre Mardal, Garth Wells
English | PDF | 2012 | 722 Pages | ISBN : 3642230989 | 23.3 MB

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
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Finite Element Method Simulation of 3D Deformable Solids

Posted By: AvaxGenius
Date: 6 Jan 2023 08:52:54
Finite Element Method Simulation of 3D Deformable Solids

Finite Element Method Simulation of 3D Deformable Solids by Eftychios Sifakis
English | PDF(True) | 2016 | 71 Pages | ISBN : 1627054421 | 1 MB

This book serves as a practical guide to simulation of 3D deformable solids using the Finite Element Method (FEM). It reviews a number of topics related to the theory and implementation of FEM approaches: measures of deformation, constitutive laws of nonlinear materials, tetrahedral discretizations, and model reduction techniques for real-time simulation.
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Multiscale Computer Modeling in Biomechanics and Biomedical Engineering

Posted By: AvaxGenius
Date: 22 Aug 2022 07:38:22
Multiscale Computer Modeling in Biomechanics and Biomedical Engineering

Multiscale Computer Modeling in Biomechanics and Biomedical Engineering by Amit Gefen
English | PDF | 2013 | 397 Pages | ISBN : 3642364810 | 13.4 MB

This book reviews the state-of-the-art in multiscale computer modeling, in terms of both accomplishments and challenges. The information in the book is particularly useful for biomedical engineers, medical physicists and researchers in systems biology, mathematical biology, micro-biomechanics and biomaterials who are interested in how to bridge between traditional biomedical engineering work at the organ and tissue scales, and the newer arenas of cellular and molecular bioengineering.
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Classical Mechanics: Including an Introduction to the Theory of Elasticity

Posted By: AvaxGenius
Date: 25 May 2022 01:59:25
Classical Mechanics: Including an Introduction to the Theory of Elasticity

Classical Mechanics: Including an Introduction to the Theory of Elasticity by Reinhard Hentschke
English | PDF(True) | 2017 | 392 Pages | ISBN : 3319487094 | 8.8 MB

This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale.
Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics.
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Limit State of Materials and Structures: Direct Methods 2 (Repost)

Posted By: AvaxGenius
Date: 22 Apr 2022 16:03:02
Limit State of Materials and Structures: Direct Methods 2 (Repost)

Limit State of Materials and Structures: Direct Methods 2 by Géry de Saxcé
English | PDF | 2013 | 219 Pages | ISBN : 9400754248 | 4.4 MB

To determine the carrying capacity of a structure or a structural element susceptible to operate beyond the elastic limit is an important task in many situations of both mechanical and civil engineering. The so-called “direct methods” play an increasing role due to the fact that they allow rapid access to the request information in mathematically constructive manners. They embrace Limit Analysis, the most developed approach now widely used, and Shakedown Analysis, a powerful extension to the variable repeated loads potentially more economical than step-by-step inelastic analysis.
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Finite Elements in Fracture Mechanics: Theory - Numerics - Applications

Posted By: AvaxGenius
Date: 1 Apr 2022 05:32:41
Finite Elements in Fracture Mechanics: Theory - Numerics - Applications

Finite Elements in Fracture Mechanics: Theory - Numerics - Applications by Meinhard Kuna
English | PDF | 2013 | 464 Pages | ISBN : 9400766793 | 17.2 MB

Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications.
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Computational Statics and Dynamics: An Introduction Based on the Finite Element Method (Repost)

Posted By: AvaxGenius
Date: 9 Aug 2021 11:40:47
Computational Statics and Dynamics: An Introduction Based on the Finite Element Method (Repost)

Computational Statics and Dynamics: An Introduction Based on the Finite Element Method by Andreas Öchsner
English | PDF,EPUB | 2016 | 496 Pages | ISBN : 9811007322 | 26.6 MB

This book introduces readers to modern computational mechanics based on the finite element method. It helps students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics.
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Design and Simulation in Biomedical Mechanics

Posted By: AvaxGenius
Date: 27 Apr 2021 04:44:09
Design and Simulation in Biomedical Mechanics

Design and Simulation in Biomedical Mechanics by Juan Alfonso Beltran-Fernandez
English | EPUB | 2021 | 275 Pages | ISBN : 3030659828 | 154.9 MB

This book integrates bioengineering for solving health issues. It shows how the use of applied mechanics and strength of materials using 3D printing models, digital correlation techniques and computed tomography images, provides solutions to biology, medicine and mechanical engineering.
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Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Posted By: AvaxGenius
Date: 3 Apr 2021 21:58:39
Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Introduction to Geometrically Nonlinear Continuum Dislocation Theory: FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains by Christian B. Silbermann
English | EPUB | 2021 | 100 Pages | ISBN : 303063695X | 23.3 MB

This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.
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Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Posted By: AvaxGenius
Date: 2 Mar 2021 17:32:41
Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Introduction to Geometrically Nonlinear Continuum Dislocation Theory: FE Implementation and Application on Subgrain Formation in Cubic Single Crystals Under Large Strains by Christian B. Silbermann
English | PDF | 2021 | 100 Pages | ISBN : 303063695X | 5.5 MB

This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.
Details

Design and Simulation in Biomedical Mechanics

Posted By: AvaxGenius
Date: 2 Mar 2021 02:19:22
Design and Simulation in Biomedical Mechanics

Design and Simulation in Biomedical Mechanics by Juan Alfonso Beltran-Fernandez
English | PDF | 2021 | 275 Pages | ISBN : 3030659828 | 23.4 MB

This book integrates bioengineering for solving health issues. It shows how the use of applied mechanics and strength of materials using 3D printing models, digital correlation techniques and computed tomography images, provides solutions to biology, medicine and mechanical engineering.
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Algorithms as a Basis of Modern Applied Mathematics

Posted By: AvaxGenius
Date: 26 Feb 2021 16:56:12
Algorithms as a Basis of Modern Applied Mathematics

Algorithms as a Basis of Modern Applied Mathematics by Šárka Hošková-Mayerová
English | EPUB | 2021 | 515 Pages | ISBN : 303061333X | 54.5 MB

This book offers a self-contained guide to advanced algorithms and their applications in various fields of science. Gathering contributions by authoritative researchers in the field of mathematics, statistics and computer science, it aims at offering a comprehensive and up-to-date view of algorithms, including the theory behind them, as well as practical considerations, current limitations and solutions.
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