Computational Homogenization Of Heterogeneous Materials With Finite Elements

Author : Julien Yvonnet
Publisher : Springer
ISBN 13 : 3030183831
Total Pages : 223 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book Computational Homogenization of Heterogeneous Materials with Finite Elements written by Julien Yvonnet and published by Springer. This book was released on 2019-06-11 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.​

Author : Felix Fritzen
Publisher : KIT Scientific Publishing
ISBN 13 : 3866446993
Total Pages : 190 pages
Book Rating : 4.91/5 ( download)

DOWNLOAD NOW!

Download or read book Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro-heterogeneous Materials written by Felix Fritzen and published by KIT Scientific Publishing. This book was released on 2014-08-22 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering materials show a pronounced heterogeneity on a smaller scale that influences the macroscopic constitutive behavior. Algorithms for the periodic discretization of microstructures are presented. These are used within the Nonuniform Transformation Field Analysis (NTFA) which is an order reduction based nonlinear homogenization method with micro-mechanical background. Theoretical and numerical aspects of the method are discussed and its computational efficiency is validated.

Author : Peter Gumbsch
Publisher : Springer Science & Business Media
ISBN 13 : 3709102839
Total Pages : 401 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics written by Peter Gumbsch and published by Springer Science & Business Media. This book was released on 2011-01-30 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.

Author : Yves Remond
Publisher : Elsevier
ISBN 13 : 9781785480232
Total Pages : 0 pages
Book Rating : 4.35/5 ( download)

DOWNLOAD NOW!

Download or read book Applied RVE Reconstruction and Homogenization of Heterogeneous Materials written by Yves Remond and published by Elsevier. This book was released on 2016-02-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied RVE Reconstruction and Homogenization of Heterogeneous Materials contains the basic principles underlying the main continuum mechanical partial differential equation models used in practice, together with numerical methods to approximately solve them. This book offers a unified presentation of continuum mechanical models and their discrete counterparts, providing a deeper understanding of the relationship between the main numerical methods, finite element methods, finite volume methods, and the advantages and shortcomings of each. In addition, the book shows, by way of Matlab code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear and stationary and time dependent, also covering solids and fluids and the typical common finite element, finite volume, and time stepping methods.

Author : Jörg Schröder
Publisher : Springer Science & Business Media
ISBN 13 : 3709116252
Total Pages : 417 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Plasticity and Beyond written by Jörg Schröder and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.

Author : Leiting Dong
Publisher : Cambridge University Press
ISBN 13 : 1108934692
Total Pages : 290 pages
Book Rating : 4.95/5 ( download)

DOWNLOAD NOW!

Download or read book Computational Grains written by Leiting Dong and published by Cambridge University Press. This book was released on 2023-10-19 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the computational tool, Computational Grains, used in micromechanical modeling of heterogeneous materials. Presenting the theory step-by-step and with MATLAB codes, the material is accessible and practical for readers. Ideal for graduate students and researchers in mechanical and aerospace engineering and applied mechanics.

Author : Georgios A. Drosopoulos
Publisher : CRC Press
ISBN 13 : 1000579077
Total Pages : 286 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Mechanics for Composite Heterogeneous Structures written by Georgios A. Drosopoulos and published by CRC Press. This book was released on 2022-04-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Author : Georgios A. Drosopoulos
Publisher : CRC Press
ISBN 13 : 1000579174
Total Pages : 327 pages
Book Rating : 4.78/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Mechanics for Composite Heterogeneous Structures written by Georgios A. Drosopoulos and published by CRC Press. This book was released on 2022-04-26 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Author : Daicong Da
Publisher : John Wiley & Sons
ISBN 13 : 1786305585
Total Pages : 200 pages
Book Rating : 4.89/5 ( download)

DOWNLOAD NOW!

Download or read book Topology Optimization Design of Heterogeneous Materials and Structures written by Daicong Da and published by John Wiley & Sons. This book was released on 2020-02-26 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.

Author : Felix Fritzen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

Download or read book Microstructural Modeling and Computational Homogenization of the Physically Linear and Nonlinear Constitutive Behavior of Micro-heterogeneous Materials written by Felix Fritzen and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: