Error Controlled Adaptive Finite Element Methods In Large Strain Hyperelasticity And Fracture Mechanics

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Error-controlled Adaptive Finite Elements in Solid Mechanics

Author : Ekkehard Ramm,E. Rank,R. Rannacher,K. Schweizerhof,E. Stein,W. Wendland,G. Wittum,Peter Wriggers,Walter Wunderlich
Publisher : John Wiley & Sons
Page : 422 pages
File Size : 48,7 Mb
Release : 2003-08-01
Category : Technology & Engineering
ISBN : 9780470857977

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Error-controlled Adaptive Finite Elements in Solid Mechanics by Ekkehard Ramm,E. Rank,R. Rannacher,K. Schweizerhof,E. Stein,W. Wendland,G. Wittum,Peter Wriggers,Walter Wunderlich Pdf

Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Modelling the Physiological Human

Author : Nadia Magnenat-Thalmann
Publisher : Springer
Page : 229 pages
File Size : 49,6 Mb
Release : 2010-05-09
Category : Computers
ISBN : 9783642104701

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Modelling the Physiological Human by Nadia Magnenat-Thalmann Pdf

Annotation. This book constitutes the proceedings of the Second 3D Physiological Human Workshop, 3DPH 2009, held in Zermatt, Switzerland, in November/December 2009. The 19 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on Segmentation, Anatomical and Physiological Modelling, Simulation Models, Motion Analysis, Medical Visualization and Interaction, as well as Medical Ontology.

Error Estimates for Advanced Galerkin Methods

Author : Marcus Olavi Rüter
Publisher : Springer Nature
Page : 496 pages
File Size : 48,9 Mb
Release : 2019-11-07
Category : Science
ISBN : 9783030061739

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Error Estimates for Advanced Galerkin Methods by Marcus Olavi Rüter Pdf

This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.

Contact and Fracture Mechanics

Author : Pranav H. Darji,Veera Darji
Publisher : BoD – Books on Demand
Page : 288 pages
File Size : 55,5 Mb
Release : 2018-05-30
Category : Science
ISBN : 9781789231588

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Contact and Fracture Mechanics by Pranav H. Darji,Veera Darji Pdf

This book contains two sections: Chapters 1-7 deal with contact mechanics, and Chapters 8-13 deal with fracture mechanics. The different contributions of this book will cover the various advanced topics of research. It provides some needed background with respect to contact mechanics, fracture mechanics and the use of finite element methods in both. All the covered chapters of this book are of a theoretical and applied nature, suitable for the researchers of engineering, physics, applied mathematics and mechanics with an interest in computer simulation of contact and fracture problems.

Extended Finite Element Method for Crack Propagation

Author : Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure
Publisher : John Wiley & Sons
Page : 271 pages
File Size : 47,6 Mb
Release : 2013-03-04
Category : Technology & Engineering
ISBN : 9781118622698

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Extended Finite Element Method for Crack Propagation by Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure Pdf

Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
Page : 600 pages
File Size : 41,7 Mb
Release : 2015-02-23
Category : Science
ISBN : 9781118457689

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Extended Finite Element Method by Amir R. Khoei Pdf

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Numerical Methods in Fracture Mechanics

Author : Anthony Roger Luxmoore,D. R. J. Owen
Publisher : Unknown
Page : 696 pages
File Size : 44,7 Mb
Release : 1990
Category : Technology & Engineering
ISBN : UOM:39015019636680

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Numerical Methods in Fracture Mechanics by Anthony Roger Luxmoore,D. R. J. Owen Pdf

Finite Element Analysis with Error Estimators

Author : J. E. Akin
Publisher : Elsevier
Page : 465 pages
File Size : 41,6 Mb
Release : 2005-06-22
Category : Technology & Engineering
ISBN : 9780080472751

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Finite Element Analysis with Error Estimators by J. E. Akin Pdf

This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators

Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems

Author : Achintya Haldar,Ard‚shir Guran,Bilal M. Ayyub
Publisher : World Scientific
Page : 437 pages
File Size : 51,6 Mb
Release : 1997
Category : Technology & Engineering
ISBN : 9789810231286

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Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems by Achintya Haldar,Ard‚shir Guran,Bilal M. Ayyub Pdf

The functionality of modern structural, mechanical and electrical or electronic systems depends on their ability to perform under uncertain conditions. Consideration of uncertainties and their effect on system behavior is an essential and integral part of defining systems. In eleven chapters, leading experts present an overview of the current state of uncertainty modeling, analysis and design of large systems in four major areas: finite and boundary element methods (common structural analysis techniques), fatigue, stability analysis, and fault-tolerant systems. The content of this book is unique; it describes exciting research developments and challenges in emerging areas, and provide a sophisticated toolbox for tackling uncertainty modeling in real systems.

Large Strain Finite Element Method

Author : Antonio Munjiza,Earl E. Knight,Esteban Rougier
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 46,6 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9781118535790

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Large Strain Finite Element Method by Antonio Munjiza,Earl E. Knight,Esteban Rougier Pdf

An introductory approach to the subject of large strains andlarge displacements in finite elements. Large Strain Finite Element Method: A Practical Course,takes an introductory approach to the subject of large strains andlarge displacements in finite elements and starts from the basicconcepts of finite strain deformability, including finite rotationsand finite displacements. The necessary elements of vector analysisand tensorial calculus on the lines of modern understanding of theconcept of tensor will also be introduced. This book explains how tensors and vectors can be describedusing matrices and also introduces different stress and straintensors. Building on these, step by step finite element techniquesfor both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic andviscoplastic materials will be independently discussed tofacilitate clarity and ease of learning. Elements of transientdynamics will also be covered and key explicit and iterativesolvers including the direct numerical integration, relaxationtechniques and conjugate gradient method will also be explored. This book contains a large number of easy to followillustrations, examples and source code details that facilitateboth reading and understanding. Takes an introductory approach to the subject of large strainsand large displacements in finite elements. No prior knowledge ofthe subject is required. Discusses computational methods and algorithms to tackle largestrains and teaches the basic knowledge required to be able tocritically gauge the results of computational models. Contains a large number of easy to follow illustrations,examples and source code details. Accompanied by a website hosting code examples.

Applied mechanics reviews

Author : Anonim
Publisher : Unknown
Page : 400 pages
File Size : 53,9 Mb
Release : 1948
Category : Mechanics, Applied
ISBN : OSU:32435026160655

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Applied mechanics reviews by Anonim Pdf

Scientific and Technical Aerospace Reports

Author : Anonim
Publisher : Unknown
Page : 1460 pages
File Size : 42,7 Mb
Release : 1991
Category : Aeronautics
ISBN : UIUC:30112001077426

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Scientific and Technical Aerospace Reports by Anonim Pdf

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Hybrid and Mixed Finite Element Methods

Author : Satya N. Atluri,Richard H. Gallagher,O. C. Zienkiewicz
Publisher : John Wiley & Sons
Page : 608 pages
File Size : 43,8 Mb
Release : 1983
Category : Mathematics
ISBN : WISC:89008234122

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Hybrid and Mixed Finite Element Methods by Satya N. Atluri,Richard H. Gallagher,O. C. Zienkiewicz Pdf