The Finite Element Method

Filename: the-finite-element-method.pdf
ISBN: 9780486135021
Release Date: 2012-05-23
Number of pages: 704
Author: Thomas J. R. Hughes
Publisher: Courier Corporation

Download and read online The Finite Element Method in PDF and EPUB Designed for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.


Computational Modeling Optimization and Manufacturing Simulation of Advanced Engineering Materials

Filename: computational-modeling-optimization-and-manufacturing-simulation-of-advanced-engineering-materials.pdf
ISBN: 9783319042657
Release Date: 2016-06-20
Number of pages: 393
Author: Pablo Andrés Muñoz-Rojas
Publisher: Springer

Download and read online Computational Modeling Optimization and Manufacturing Simulation of Advanced Engineering Materials in PDF and EPUB This volume presents recent research work focused in the development of adequate theoretical and numerical formulations to describe the behavior of advanced engineering materials. Particular emphasis is devoted to applications in the fields of biological tissues, phase changing and porous materials, polymers and to micro/nano scale modeling. Sensitivity analysis, gradient and non-gradient based optimization procedures are involved in many of the chapters, aiming at the solution of constitutive inverse problems and parameter identification. All these relevant topics are exposed by experienced international and inter institutional research teams resulting in a high level compilation. The book is a valuable research reference for scientists, senior undergraduate and graduate students, as well as for engineers acting in the area of computational material modeling.


Programming Phase Field Modeling

Filename: programming-phase-field-modeling.pdf
ISBN: 9783319411965
Release Date: 2017-01-25
Number of pages: 400
Author: S. Bulent Biner
Publisher: Springer

Download and read online Programming Phase Field Modeling in PDF and EPUB This textbook provides a fast-track pathway to numerical implementation of phase-field modeling—a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials. It serves as a cookbook for the phase-field method by presenting a collection of codes that act as foundations and templates for developing other models with more complexity. Programming Phase-Field Modeling uses the Matlab/Octave programming package, simpler and more compact than other high-level programming languages, providing ease of use to the widest audience. Particular attention is devoted to the computational efficiency and clarity during development of the codes, which allows the reader to easily make the connection between the mathematical formulism and the numerical implementation of phase-field models. The background materials provided in each case study also provide a forum for undergraduate level modeling-simulations courses as part of their curriculum.


Stochastic Finite Elements

Filename: stochastic-finite-elements.pdf
ISBN: 0486428184
Release Date: 2003
Number of pages: 222
Author: Roger G. Ghanem
Publisher: Courier Corporation

Download and read online Stochastic Finite Elements in PDF and EPUB This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach. 1991 edition.


Introduction to Electromagnetic Engineering

Filename: introduction-to-electromagnetic-engineering.pdf
ISBN: 0486432416
Release Date: 2003
Number of pages: 312
Author: Roger F. Harrington
Publisher: Courier Corporation

Download and read online Introduction to Electromagnetic Engineering in PDF and EPUB This study of electromagnetic theory introduces students to a broad range of quantities and concepts, imparting the necessary vector analysis and associated mathematics and reinforcing its teachings with several elementary field problems. Based on circuit theory rather than on the classical force-relationship approach, the text uses the theory of electric circuits to provide a system of experiments already familiar to the electrical engineer; a series of field concepts are then introduced as a logical extension of circuit theory. Virtually unobtainable elsewhere, this text was written by a prominent professor whose recognition includes the prestigious IEEE Electromagnetics Award. It is appropriate for advanced undergraduate and graduate students with a background in calculus and circuit theory. 176 Figures. 9 Tables.


A History and Philosophy of Fluid Mechanics

Filename: a-history-and-philosophy-of-fluid-mechanics.pdf
ISBN: 0486681033
Release Date: 1994
Number of pages: 241
Author: G. A. Tokaty
Publisher: Courier Corporation

Download and read online A History and Philosophy of Fluid Mechanics in PDF and EPUB Through the centuries, the intricacies of fluid mechanics — the study of the laws of motion and fluids in motion — have occupied many of history's greatest minds. In this pioneering account, a distinguished aeronautical scientist presents a history of fluid mechanics focusing on the achievements of the pioneering scientists and thinkers whose inspirations and experiments lay behind the evolution of such disparate devices as irrigation lifts, ocean liners, windmills, fireworks and spacecraft. The author first presents the basics of fluid mechanics, then explores the advances made through the work of such gifted thinkers as Plato, Aristotle, da Vinci, Galileo, Pascal, Newton, Bernoulli, Euler, Lagrange, Ernst Mach and other scientists of the 20th century. Especially important for its illuminating comparison of the development of fluid mechanics in the former Soviet Union with that in the West, the book concludes with studies of transsonic compressibility and aerodynamics, supersonic fluid mechanics, hypersonic gas dynamics and the universal matter-energy continuity. Professor G. A. Tokaty has headed the prestigious Aeronautical Research Laboratory at the Zhukovsky Academy of Aeronautics in Moscow, and has taught at the University of California, Los Angeles. He is Emeritus Professor of Aeronautics and Space Technology, The City University, London. 161 illustrations. Preface.


The Finite Element Method in Engineering

Filename: the-finite-element-method-in-engineering.pdf
ISBN: 9780080470504
Release Date: 2011-03-15
Number of pages: 688
Author: Singiresu S. Rao
Publisher: Butterworth-Heinemann

Download and read online The Finite Element Method in Engineering in PDF and EPUB Finite Element Analysis is an analytical engineering tool developed in the 1960's by the Aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. It is an extension of derivative and integral calculus, and uses very large matrix arrays and mesh diagrams to calculate stress points, movement of loads and forces, and other basic physical behaviors. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on those mathematical equations. It quickly bridges that knowledge to a host of real-world applications--from structural design, to problems in fluid mechanics and thermodynamics. Professional engineers will benefit from the introduction to the many useful applications of finite element analysis, and will gain a better understanding of its limitations and special uses. New to this edition: · New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods...showing advantages and disadvantages of each · Improved sample and end-of-chapter problems The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.


Aerodynamics

Filename: aerodynamics.pdf
ISBN: 0486434850
Release Date: 2004
Number of pages: 203
Author: Theodore Von Kármán
Publisher: Courier Corporation

Download and read online Aerodynamics in PDF and EPUB Charming, reader-friendly chronicle by a famous pioneer in aerodynamic research traces the development of dynamic flight from the time of Newton through the 20th century. It recounts struggles of engineers and physicists with problems associated with lift, drag, stability, aeroelasticity, and the sound barrier. 72 figures. 1957 edition.


Dynamics of Physical Systems

Filename: dynamics-of-physical-systems.pdf
ISBN: 9780486139692
Release Date: 2012-05-04
Number of pages: 928
Author: Robert H., Jr. Cannon
Publisher: Courier Corporation

Download and read online Dynamics of Physical Systems in PDF and EPUB Comprehensive text and reference covers modeling of physical systems in several media, derivation of differential equations of motion and related physical behavior, dynamic stability and natural behavior, more. 1967 edition.


An Introduction to the Mathematical Theory of Finite Elements

Filename: an-introduction-to-the-mathematical-theory-of-finite-elements.pdf
ISBN: 9780486142210
Release Date: 2012-05-23
Number of pages: 448
Author: J. T. Oden
Publisher: Courier Corporation

Download and read online An Introduction to the Mathematical Theory of Finite Elements in PDF and EPUB This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.


An Introduction to the Finite Element Method

Filename: an-introduction-to-the-finite-element-method.pdf
ISBN: 0071244735
Release Date: 2006
Number of pages: 766
Author: Junuthula Narasimha Reddy
Publisher:

Download and read online An Introduction to the Finite Element Method in PDF and EPUB The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world


Finite Elements of Nonlinear Continua

Filename: finite-elements-of-nonlinear-continua.pdf
ISBN: 9780486317908
Release Date: 2013-04-15
Number of pages: 448
Author: J. T. Oden
Publisher: Courier Corporation

Download and read online Finite Elements of Nonlinear Continua in PDF and EPUB Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua


Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 9781118700082
Release Date: 2013-11-25
Number of pages: 832
Author: Ted Belytschko
Publisher: John Wiley & Sons

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.


Programming the Finite Element Method

Filename: programming-the-finite-element-method.pdf
ISBN: 9781118535929
Release Date: 2013-09-05
Number of pages: 688
Author: I. M. Smith
Publisher: John Wiley & Sons

Download and read online Programming the Finite Element Method in PDF and EPUB Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method. This new fifth edition offers timely revisions that include programs and subroutine libraries fully updated to Fortran 2003, which are freely available online, and provides updated material on advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. As in the previous editions, a wide variety of problem solving capabilities are presented including structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics. Key features: • Updated to take into account advances in parallel computing as well as new material on thermal stress analysis • Programs use an updated version of Fortran 2003 • Includes exercises for students • Accompanied by website hosting software Programming the Finite Element Method, Fifth Edition is an ideal textbook for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for researchers and practitioners. Further information and source codes described in this text can be accessed at the following web sites: • www.inside.mines.edu/~vgriffit /PFEM5 for the serial programs from Chapters 4-11 • www.parafem.org.uk for the parallel programs from Chapter 12


Partial Differential Equations for Scientists and Engineers

Filename: partial-differential-equations-for-scientists-and-engineers.pdf
ISBN: 9780486134734
Release Date: 2012-03-08
Number of pages: 414
Author: Stanley J. Farlow
Publisher: Courier Corporation

Download and read online Partial Differential Equations for Scientists and Engineers in PDF and EPUB Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.