Mixed Finite Element Technologies
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Mixed Finite Element Technologies
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Author : Peter Wriggers
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-16
Mixed Finite Element Technologies written by Peter Wriggers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-16 with Technology & Engineering categories.
Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value of mixed formulations in engineering on one side. On the other side the mathematical background is provided including proofs of convergence and stability of these methods and adequate solvers for mixed problems are discussed. This broad spectrum yields an indepth treatment of mixed methods from different perspectives.
Advanced Finite Element Technologies
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Author : Jörg Schröder
language : en
Publisher: Springer
Release Date : 2016-05-19
Advanced Finite Element Technologies written by Jörg Schröder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-19 with Mathematics categories.
The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.
Novel Finite Element Technologies For Solids And Structures
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Author : Jörg Schröder
language : en
Publisher: Springer Nature
Release Date : 2019-11-26
Novel Finite Element Technologies For Solids And Structures written by Jörg Schröder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-26 with Mathematics categories.
This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.
Novel Finite Element Technologies For Solids And Structures
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Author :
language : en
Publisher:
Release Date : 2020
Novel Finite Element Technologies For Solids And Structures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Finite element method categories.
This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.
Mixed Finite Element Method
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Author : Apostol Poceski
language : en
Publisher: Springer Verlag
Release Date : 1992
Mixed Finite Element Method written by Apostol Poceski and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Technology & Engineering categories.
Finite Element Method
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Author : G.R. Liu
language : en
Publisher: Elsevier
Release Date : 2003-02-21
Finite Element Method written by G.R. Liu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-21 with Technology & Engineering categories.
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality
The Mhost Finite Element Program 3 D Inelastic Analysis Methods For Hot Section Components Volume 2 User S Manual
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-11-17
The Mhost Finite Element Program 3 D Inelastic Analysis Methods For Hot Section Components Volume 2 User S Manual written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-17 with Science categories.
The user options available for running the MHOST finite element analysis package is described. MHOST is a solid and structural analysis program based on the mixed finite element technology, and is specifically designed for 3-D inelastic analysis. A family of 2- and 3-D continuum elements along with beam and shell structural elements can be utilized, many options are available in the constitutive equation library, the solution algorithms and the analysis capabilities. The outline of solution algorithms is discussed along with the data input and output, analysis options including the user subroutines and the definition of the finite elements implemented in the program package. Nakazawa, Shohei Unspecified Center COMPUTER PROGRAMS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRUCTURAL ANALYSIS; USER MANUALS (COMPUTER PROGRAMS); ALGORITHMS; BUCKLING; CONSTITUTIVE EQUATIONS; CREEP ANALYSIS; TEMPERATURE EFFECTS; VIBRATION TESTS...
Fundamentals Of Finite Element Analysis
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Author : Ioannis Koutromanos
language : en
Publisher: John Wiley & Sons
Release Date : 2018-02-12
Fundamentals Of Finite Element Analysis written by Ioannis Koutromanos and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-12 with Technology & Engineering categories.
An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.
Finite Element Analysis For Engineering And Technology Cd Rom Included
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Author : T. Chandrupatla
language : en
Publisher: Universities Press
Release Date : 2004
Finite Element Analysis For Engineering And Technology Cd Rom Included written by T. Chandrupatla and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computer-aided engineering categories.
Hybrid And Incompatible Finite Element Methods
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Author : Theodore H.H. Pian
language : en
Publisher: CRC Press
Release Date : 2005-11-04
Hybrid And Incompatible Finite Element Methods written by Theodore H.H. Pian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-04 with Mathematics categories.
While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindered the widespread implementation of these methods.