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Books in Numerical methods in engineering

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Computational Materials Science

  • 1st Edition
  • November 19, 2013
  • A.M. Ovrutsky + 2 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 4 2 0 2 0 7 - 8
Computational Materials Science provides the theoretical basis necessary for understanding atomic surface phenomena and processes of phase transitions, especially crystallization, is given. The most important information concerning computer simulation by different methods and simulation techniques for modeling of physical systems is also presented. A number of results are discussed regarding modern studies of surface processes during crystallization. There is sufficiently full information on experiments, theory, and simulations concerning the surface roughening transition, kinetic roughening, nucleation kinetics, stability of crystal shapes, thin film formation, imperfect structure of small crystals, size dependent growth velocity, distribution coefficient at growth from alloy melts, superstructure ordering in the intermetallic compound. Computational experiments described in the last chapter allow visualization of the course of many processes and better understanding of many key problems in Materials Science. There is a set of practical steps concerning computational procedures presented. Open access to executable files in the book make it possible for everyone to understand better phenomena and processes described in the book.

The Finite Element Method for Fluid Dynamics

  • 7th Edition
  • November 14, 2013
  • O. C. Zienkiewicz + 2 more
  • English
  • Hardback
    9 7 8 - 1 - 8 5 6 1 7 - 6 3 5 - 4
The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems Biofluid dynamics, covering flow throughout the human arterial system Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers.

The Finite Element Method for Solid and Structural Mechanics

  • 7th Edition
  • October 24, 2013
  • O. C. Zienkiewicz + 1 more
  • English
  • Hardback
    9 7 8 - 1 - 8 5 6 1 7 - 6 3 4 - 7
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 1 3 6 - 2
The Finite Element Method for Solid and Structural Mechanics is the key text and reference for engineers, researchers and senior students dealing with the analysis and modeling of structures, from large civil engineering projects such as dams to aircraft structures and small engineered components. This edition brings a thorough update and rearrangement of the book’s content, including new chapters on: Material constitution using representative volume elements Differential geometry and calculus on manifolds Background mathematics and linear shell theory Focusing on the core knowledge, mathematical and analytical tools needed for successful structural analysis and modeling, The Finite Element Method for Solid and Structural Mechanics is the authoritative resource of choice for graduate level students, researchers and professional engineers.

Finite Element and Finite Difference Methods in Electromagnetic Scattering

  • 1st Edition
  • October 22, 2013
  • M.A. Morgan
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 8 9 5 3 - 3
This second volume in the Progress in Electromagnetic Research series examines recent advances in computational electromagnetics, with emphasis on scattering, as brought about by new formulations and algorithms which use finite element or finite difference techniques. Containing contributions by some of the world's leading experts, the papers thoroughly review and analyze this rapidly evolving area of computational electromagnetics. Covering topics ranging from the new finite-element based formulation for representing time-harmonic vector fields in 3-D inhomogeneous media using two coupled scalar potentials, to the consideration of conforming boundary elements and leap-frog time-marching in transient field problems involving corners and wedges in two and three dimensions, the volume will provide an indispensable reference source for practitioners and students of computational electromagnetics.

Probabilistic and Convex Modelling of Acoustically Excited Structures

  • 1st Edition
  • Volume 39
  • October 22, 2013
  • I. Elishakoff + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 0 3 5 - 5
This book summarises the analytical techniques for predicting the response of linear structures to noise excitations generated by large propulsion power plants. Emphasis is placed on beams and plates of both single-span and multi-span configurations, common in engineering structural systems. Since the natural frequencies and the associated normal modes play a central role in the random vibration analysis of a continuous dynamical system, rather detailed discussions are devoted to their determination. Material covered in the first chapter provides a useful reference for the subsequent discussion of multi-span structures. Also included in this volume is a hybrid probabilistic and convex-uncertainty modeling approach in which the upper and lower bounds of the cross-spectral densities of the acoustic excitation are obtained on the basis of measured data. The random vibration of a structure is treated, for the first time, as an "anti-optimization" problem of finding the least favourable value of the mean-square response.

Stability of Structures by Finite Element Methods

  • 1st Edition
  • Volume 40
  • October 22, 2013
  • Z. Waszczyszyn + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 0 5 5 - 3
This book is the consequence of research undertaken by the authors in the field of advanced problems of structural mechanics. Stability analysis of structures comes under this area because of the complex models and computational methods needed for analysis. In the mid seventies, a joint effort began between a group of researchers and teachers of the Department of Civil Engineering and Computer Center of the Cracow University of Technology. One of the important results of the collaboration has been this publication.

Numerical Methods for Problems in Infinite Domains

  • 1st Edition
  • Volume 33
  • October 22, 2013
  • D. Givoli
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 0 8 - 6
This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Foundations of Mechanics

  • 1st Edition
  • Volume 28
  • October 22, 2013
  • Stanislaw Bazanski
  • H. Zorski
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 1 6 1 - 1
In the last three decades the field of mechanics has seen spectacular progress due to the demand for applications in problems of cosmology, thermonuclear fusion, metallurgy, etc. This book provides a broad and thorough overview on the foundations of mechanics. It discusses theoretical mechanics and continuum mechanics, as well as phenomenological thermodynamics, quantum mechanics and relativistic mechanics. Each chapter presents the basic physical facts of interest without going into details and derivations and without using advanced mathematical formalism. The first part constitutes a classical exposition of Lagrange's and Hamilton's analytical mechanics on which most of the continuum theory is based. The section on continuum mechanics focuses mainly on the axiomatic foundations, with many pointers for further research in this area. Special attention is given to modern continuum thermodynamics, both for the foundations and applications. A section on quantum mechanics is also included, since the phenomenological description of various quantum phenomena is becoming of increasing importance. The work will prove indispensable to engineers wishing to keep abreast of recent theoretical advances in their field, as well as initiating and guiding future research.

Essential PTC® Mathcad Prime® 3.0

  • 1st Edition
  • October 9, 2013
  • Brent Maxfield
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 4 1 0 4 5 8 - 7
Learn how to use PTC® Mathcad Prime® 3.0, one of the world’s leading tools for technical computing, in the context of engineering, science, and math applications. Quickly harness the power of PTC Mathcad Prime 3.0 to solve both simple and complex problems. Essential PTC® Mathcad Prime® 3.0 is perfect for college students, first-time users, and experienced Mathcad 15 users who are moving to PTC Mathcad Prime 3.0. Updated from Maxfield’s popular Essential Mathcad, this book introduces the most powerful functions and features of the new PTC Mathcad Prime 3.0 software and teaches how to apply them to create comprehensive calculations for any quantitative subject. Examples from several fields demonstrate the power and utility of PTC Mathcad’s tools while also demonstrating how users can eff ectively incorporate Microsoft® Excel spreadsheets into the software.

Finite Element Analysis and Design of Metal Structures

  • 1st Edition
  • September 5, 2013
  • Ehab Ellobody + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 4 1 6 5 6 1 - 8
  • eBook
    9 7 8 - 0 - 1 2 - 4 1 6 5 7 5 - 5
Traditionally, engineers have used laboratory testing to investigate the behavior of metal structures and systems. These numerical models must be carefully developed, calibrated and validated against the available physical test results. They are commonly complex and very expensive. From concept to assembly, Finite Element Analysis and Design of Metal Structures provides civil and structural engineers with the concepts and procedures needed to build accurate numerical models without using expensive laboratory testing methods. Professionals and researchers will find Finite Element Analysis and Design of Metal Structures a valuable guide to finite elements in terms of its applications.