Các loại mô hình số

[nhim4mat2006]

Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics): Kendall Atkinson, Weimin Han
Springer | ISBN: 1441904573 | 2009-06-02 | PDF (OCR) | 590 pages | 3.89 Mb


This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon,a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003
Summary: About Theoretical Numerical Analysis
by Kendall E. Atkinson
Rating: 5
The book presents an abstract point of view of Numerical Analysis (as one can immediatly see by the title!). It is written by a master in the topic, author of more than 70 publications at the higher levels, well known for his contributions in Integral and Partial Differential Equations.
If one is interested on the basic aspects of numerical analysis, I also suggest to consider his well known manual "Elementary Numerical Analysis".
The present book presents several aspects that are not covered by most of the manuals in Numerical Analysis and highly contributes to have a wider idea of convergence and stability of some well known methods.

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[nhim4mat2006]

Advanced Numerical Models For Simulating Tsunami Waves And Runup
World Scientific Publishing Company | ISBN: 9812700129 | 2008-09-29 | PDF | 344 pages | 16 Mb

This review volume is divided into two parts. The first part includes five review papers on various numerical models. Pedersen provides a brief but thorough review of the theoretical background for depth-integrated wave equations, which are employed to simulate tsunami runup. LeVeque and George describe high-resolution finite volume methods for solving the nonlinear shallow water equations. The focus of their discussion is on the applications of these methods to tsunami runup.

In recent years, several advanced 3D numerical models have been introduced to the field of coastal engineering to calculate breaking waves and wave structure interactions. These models are still under development and are at different stages of maturity. Rogers and Dalrymple discuss the Smooth Particles Hydrodynamics (SPH) method, which is a meshless method. Wu and Liu present their Large Eddy Simulation (LES) model for simulating the landslide-generated waves. Finally, Frandsen introduces the lattice Boltzmann method with the consideration of a free surface.

The second part of the review volume contains the descriptions of the benchmark problems with eleven extended abstracts submitted by the workshop participants. All these papers are compared with their numerical results with benchmark solutions.

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[nhim4mat2006]

Modeling of Creep for Structural Analysis (Foundations of Engineering Mechanics)
By Konstantin Naumenko, Holm Altenbach,

* Publisher: Springer
* Number Of Pages: 230
* Publication Date: 2007-05
* Sales Rank:
* ISBN / ASIN: 3540708340
* EAN: 9783540708346
* Binding: Hardcover
* Manufacturer: Springer
* Studio: Springer
* Average Rating:
* Total Reviews:

Book Description:

"Creep Modeling for Structural Analysis" develops methods to simulate and analyze the time-dependent changes of stress and strain states in engineering structures up to the critical stage of creep rupture. The principal subjects of creep mechanics are the formulation of constitutive equations for creep in structural materials under multi-axial stress states; the application of structural mechanics models of beams, plates, shells and three-dimensional solids and the utilization of procedures for the solution of non-linear initial-boundary value problems. The objective of this book is to review some of the classical and recently proposed approaches to the modeling of creep for structural analysis applications as well as to extend the collection of available solutions of creep problems by new, more sophisticated examples.

In Chapter 1, the book discusses basic features of the creep behavior in materials and structures and presents an overview of various approaches to the modeling of creep. Chapter 2 collects constitutive models that describe creep and damage processes under multi-axial stress states. Chapter 3 deals with the application of constitutive models to the description of creep for several structural materials. Constitutive and evolution equations, response functions and material constants are presented according to recently published experimental data. In Chapter 4 the authors discuss structural mechanics problems. Governing equations of creep in three-dimensional solids, direct variational methods and time step algorithms are reviewed. Examples are presented to illustrate the application of advanced numerical methods to the structural analysis. An emphasis is placed on the development and verification of creep-damage material subroutines inside the general purpose finite element codes.

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[nhim4mat2006]

Roland Glowinski, "Numerical Methods for Nonlinear Variational Problems"
Springer | 2008 | ISBN:3540775064 | 493 pages | PDF | 15,5 MB

Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications.

"Numerical Methods for Nonlinear Variational Problems", originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced students.

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[nhim4mat2006]

Computational Contact Mechanics (CISM International Centre for Mechanical Sciences)
By Peter Wriggers, Tod A. Laursen

* Publisher: Springer
* Number Of Pages: 248
* Publication Date: 2008-03-11
* ISBN-10 / ASIN: 3211772979
* ISBN-13 / EAN: 9783211772973

Product Description:

Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.

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[nhim4mat2006]

Computational Structural Dynamics and Earthquake Engineering: Vol.2, Structures & Infrastructures Series, Series Editor: Dan M. Frangopol (Structures and Infrastructures)
By Manolis Papadrakakis, Dimos C. Charmpis, Yiannis Tsompanakis, Nikkos D. Lagaros


* Publisher: Taylor & Francis
* Number Of Pages: 670
* Publication Date: 2008-12-09
* ISBN-10 / ASIN: 0415452619
* ISBN-13 / EAN: 9780415452618



Product Description:

The intensifying need to solve complex problems in planning, designing, constructing, and managing earthquake-resistant structures requires the development of innovative methods, and ideal tools for providing accurate, yet affordable, numerical solutions. This book presents the latest findings in computational, stochastic, and structural dynamics, along with recent information on earthquake engineering. It provides a much needed reference for those engineers tackling complex problems in dynamic/ seismic analysis and design. The book contains contributions from leading experts based on papers they presented at the Conference of Computational Dynamics and Earthquake Engineering, held in Greece in 2007.

http://ifile.it/yg2qh3v/0415452619.rar

[nhim4mat2006]

Finite Element Method: A Practical Course
Butterworth-Heinemann | 2003 | ISBN 0750658669| PDF | 384 pages | 10 MB


The Finite Element Method (FEM) has become an indispensable technologyfor the modelling and simulation of engineering systems. Written forengineers and students alike, the aim of the book is to provide thenecessary theories and techniques of the FEM for readers to be able touse a commercial FEM package to solve primarily linear problems inmechanical and civil engineering with the main focus on structuralmechanics and heat transfer.Fundamental theories are introduced in astraightforward way, and state-of-the-art techniques for designing andanalyzing engineering systems, including microstructural systems areexplained in detail. Case studies are used to demonstrate thesetheories, methods, techniques and practical applications, and numerousdiagrams and tables are used throughout.

The case studies and examples use the commercial software packageABAQUS, but the techniques explained are equally applicable for readersusing other applications including NASTRAN, ANSYS, MARC, etc. Full setsof PowerPoint slides developed by the authors for their course on FEMare available as a free download from a companion website.* A practicaland accessible guide to this complex, yet important subject* Coversmodeling techniques that predict how components will operate andtolerate loads, stresses and strains in reality* Full set of PowerPointpresentation slides which illustrate and support the book are availableon a companion website.

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[nhim4mat2006]

O. C. Zienkiewicz, R. L. Taylor, J.Z. Zhu, "The Finite Element Method: Its Basis and Fundamentals"
Butterworth-Heinemann, 6 ed | 2005 | ISBN: 0750663200 | PDF | 752 pages | 8,8 MB

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.
The classic FEM text, written by the subject's leading authors
Enhancements include more worked examples and exercises, plus a companion website with a solutions manual and downloadable algorithms
With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems
Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations.
Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.
* The classic introduction to the finite element method, by two of the subject's leading authors
* Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text
* Enhancements include more worked examples, exercises, plus a companion website with a worked solutions manual for tutors and downloadable algorithms

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[nhim4mat2006]

Constantine Pozrikidis "Fluid Dynamics: Theory, Computation, and Numerical Simulation"
Springer | English | 2009-05-26 | ISBN: 038795869X | 774 pages | PDF | 9,6 MB

Fluid Dynamics: Theory, Computation, and Numerical Simulation is the only available book that extends the classical field of fluid dynamics into the realm of scientific computing in a way that is both comprehensive and accessible to the beginner. The theory of fluid dynamics, and the implementation of solution procedures into numerical algorithms, are discussed hand-in-hand and with reference to computer programming. This book is an accessible introduction to theoretical and computational fluid dynamics (CFD), written from a modern perspective that unifies theory and numerical practice.

There are several additions and subject expansions in the Second Edition of Fluid Dynamics, including new Matlab and FORTRAN codes. Two distinguishing features of the discourse are: solution procedures and algorithms are developed immediately after problem formulations are presented, and numerical methods are introduced on a need-to-know basis and in increasing order of difficulty. Matlab codes are presented and discussed for a broad range of topics; from interfacial shapes in hydrostatics, to vortex dynamics, to Stokes flow, to turbulent flow.

A supplement to this book is the FORTRAN software library FDLIB, freely available through the Internet, whose programs explicitly illustrate how computational algorithms translate into computer code instructions. The codes of FDLIB range from introductory to advanced, and the problems considered span a broad range of applications; from laminar channel flows, to vortex flows, to flows in aerodynamics. Selected computer problems at the end of each section ask the student to run the programs for various flow conditions, and thereby study the effect of the various parameters determining each flow. FDLIB offers an extensive range of Fortran 77 and Matlab programs that demonstrate the implementation of elementary and advanced algorithms and provide an invaluable resource for research, classroom instruction, and self-study.


This text is a must for practitioners and students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used as a text in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing.

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[nhim4mat2006]

Modal Analysis
By Zhi-Fang Fu, Jimin He

* Publisher: Butterworth-Heinemann
* Number Of Pages: 304
* Publication Date: 2001-10-03
* ISBN-10 / ASIN: 0750650796
* ISBN-13 / EAN: 9780750650793

Description:
This book provides a detailed overview of the theory of analytical and experimental modal analysis and its applications. Modal Analysis is the processes of determining the inherent dynamic characteristics of any system and using them to formulate a mathematical model of the dynamic behavior of the system. In the past two decades it has become a major technological tool in the quest for determining, improving and optimizing dynamic characteristics of engineering structures.
Its main application is in mechanical and aeronautical engineering, but it is also gaining widespread use in civil and structural engineering, biomechanical problems, space structures, acoustic instruments and nuclear engineering.
The only book to focus on the theory of modal analysis before discussing applications
A relatively new technique being utilized more and more in recent years which is now filtering through to undergraduate courses

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[nhim4mat2006]

Dynamic and Transient Infinite Elements: Theory and Geophysical, Geotechnical and Geoenvironmental Applications (Advances in Geophysical and Environmental Mechanics and Mathematics)
By Chongbin Zhao

* Publisher: Springer
* Number Of Pages: 259
* Publication Date: 2009-08-01
* ISBN-10 / ASIN: 3642008453
* ISBN-13 / EAN: 9783642008450

Product Description:

This monograph aims to provide a state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many of scientific and engineering problems, based on the author’s own work during the last two decades. While the theoretical aspects of either dynamic infinite elements or transient infinite elements are systematically presented, the related application examples are immediately followed to illustrate the usefulness and applicability of these infinite elements for simulating a wide range of dynamic and transient problems involving infinite domains. To broaden the readership of this monograph, common mathematical notations are used to derive the formulations of both dynamic and transient infinite elements. This enables this monograph to be used either as a useful textbook for postgraduate students or as a valuable reference book for computational geoscientists, geotechnical engineers, civil engineers, geoscientists and applied mathematicians.

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[nhim4mat2006]

Linear and non linear numerical analysis of foundations
By John W. Bull

* Publisher: Taylor & Francis
* Number Of Pages: 452
* Publication Date: 2009-03-12
* ISBN-10 / ASIN: 0415420504
* ISBN-13 / EAN: 9780415420501
Product Description:

The correct understanding, design and analysis of foundations that support structures are fundamental to the safety of those structures. Witness the leaning tower of Pisa, which if built a short distance from its present location would have remained upright and just have been another safe structure. Linear and non linear numerical analysis of foundations provides a review of state of the art techniques for modelling foundations using both linear and non linear numerical analysis. The book considers foundations as they affect a range of infrastructure, civil engineering and structural engineering projects.The topics covered include: ground vibrations caused by trains moving over elevated bridges with pile foundations; pile-group effect; bearing capacity of shallow foundations under static and seismic conditions; development of bucket foundation technology for Offshore Oilfields; effects of seismically induced liquefaction in earth embankment foundations; free vibrations of industrial chimneys and TV towers with flexibility of the soil; seismic analysis of pile foundations in liquefying soil; settlements of high rise structures; seepage, stress fields and dynamic responses in dams; and, site investigations. Academic, design and contracting experts contribute their expertise on the latest advances in linear and non linear numerical analysis of foundations. The contributions from these world experts will allow designers, engineers, architects, researchers and clients to understand some of the advanced numerical techniques used in the analysis and design of foundations and to guide them into safer and longer lasting structural foundations.

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[nhim4mat2006]

Finite Element Analysis: Theory and Application with ANSYS - S. Moaveni
Author: Saeed Moaveni | Publisher: Prentice Hall | ISBN 0137850980 | Ed. 1999 | djvu, 527 pages | language: english | 8 MB

While many good textbooks cover the theory of finite element modeling, this is the only text available that incorporates ANSYS as an integral part of its content. This book presents the theory of finite element method, explores its application as a design/modelling tool, and explains in detail how to use the ANSYS intelligently and effectively. It shows how to use ANSYS step-by-step to model a physical problem. Each chapter first discusses the relevant basic theory and then demonstrates it using simple problems with hand-calculations. Examples that are solved using ANSYS follow. Various sources of error that can contribute to wrong results are discussed. The design optimization and parametric programming is also included. This book is directed to students and practitioners using ANSYS. (D H Hodges).

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[nhim4mat2006]

Recent Advances in Boundary Element Methods: A Volume to Honor Professor Dimitri Beskos
By G.D. Manolis, D. Polyzos

* Publisher: Springer
* Number Of Pages: 470
* Publication Date: 2009-04-01
* ISBN-10 / ASIN: 1402097093
* ISBN-13 / EAN: 9781402097096

Product Description:

This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.

http://ifile.it/tvsb5zo/1402097093.rar

[nhim4mat2006]

A Finite Element Framework for Geotechnical Applications Based on Object-orientated Programming
By Peter Fritz, Xiong Zheng

* Publisher: Verlag der Fachvereine Hochschulverlag AG an der ETH Zurich
* Number Of Pages: 112
* Publication Date: 2002-01-21
* ISBN-10 / ASIN: 3728128287
* ISBN-13 / EAN: 9783728128287

Description
This publication describes an alternative methodology for finite element programming based on object-oriented techniques. The concepts of object-oriented programming are outlined and it is explained, how this new paradigm facilitates design, implementation and support of large programming systems. Because the knowledge of object-oriented programs is not dispersed in the actual code, but rather localized in structures, the causal knowledge, meta knowledge and constraints may be integrated in a uniform manner. Control structures separate the external level ('what') from the internal ('how') by encapsulating the actual implementation. As programming language C++ is used. Up till now several object-oriented finite element frameworks have been presented which are partially extendable. However, the extendibility is limited to a few specific directions, e.g. the introduction of new element types or solving strategies. Much less support is available for task control, creation of new material models, configurable field variable types or extensions of the analysis model. No framework is available which is especially designed to cover the problems encountered when dealing with geotechnical engineering. IMAGINE tries to close these gaps.
The nucleus of the Finite Element framework presented relies on abstractions, which include common concepts accepted in mathematics, mechanics, engineering and interactive visualization techniques, and serve as the fundamental object-oriented framework of classes for finite element applications and task management. The aim of the framework was not to include as many features as possible (e.g. a variety of types of finite elements or material laws), but to provide a sophisticated and robust foundation which may be used in the future due to its inherent capabilities of simple maintenance, adaptability to new resources and extendibility, especially
directed towards applications in geotechnical engineering.
Based on this framework an experimental finite element application for geomechanics is presented. Here everything is regarded as an object: loads, load groups, computational tasks etc. Thanks to the graphical user interface under MS-Windows and the rule of non-anticipation on which the objects rely, the handling of the program is straightforward. Some test examples illustrate its usage.

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[nhim4mat2006]

***** Analysis in Structural Concrete: Theory and Applications
By Zihai Shi

* Publisher: Butterworth-Heinemann
* Number Of Pages: 344
* Publication Date: 2009-07-09
* ISBN-10 / ASIN: 0750684461
* ISBN-13 / EAN: 9780750684460

Product Description:

This new book on the fracture mechanics of concrete focuses on the latest developments in computational theories, and how to apply those theories to solve real engineering problems. Zihai Shi uses his extensive research experience to present detailed examination of multiple-***** analysis and mixed-mode fracture.

Compared with other mature engineering disciplines, fracture mechanics of concrete is still a developing field with extensive new research and development. In recent years many different models and applications have been proposed for ***** analysis; the author assesses these in turn, identifying their limitations and offering a detailed treatment of those which have been proved to be robust by comprehensive use.

After introducing stress singularity in numerical modelling and some basic modelling techniques, the Extended Fictitious ***** Model (EFCM) for multiple-***** analysis is explained with numerical application examples. This theoretical model is then applied to study two important issues in fracture mechanics - ***** interaction and localization, and fracture modes and maximum loads. The EFCM is then reformulated to include the shear transfer mechanism on ***** surfaces and the method is used to study experimental problems.

With a carefully balanced mixture of theory, experiment and application, ***** Analysis in Structural Concrete is an important contribution to this fast-developing field of structural analysis in concrete.

* Latest theoretical models analysed and tested
* Detailed assessment of multiple ***** analysis and multi-mode fractures
* Applications designed for solving real-life engineering problems

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