From the reviews: "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear... functional analysis and that achieves here a high degree of lucidity and clarity....The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." --ZENTRALBLATT FÜR MATHEMATIK

As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many... giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space."

Young engineers are often required to utilize commercial finite element software without having had a course on finite element theory. That can lead to... computer-aided design errors. This book outlines the basic theory, with a minimum of mathematics, and how its phases are structured within a typical software. The importance of estimating a solution, or verifying the results, by other means is emphasized and illustrated. The book also demonstrates the common processes for utilizing the typical graphical icon interfaces in commercial codes. In particular, the book uses and covers the widely utilized SolidWorks solid modeling and simulation system to demonstrate applications in heat transfer, stress analysis, vibrations, buckling, and other fields. The book, with its detailed applications, will appeal to upper-level undergraduates as well as engineers new to industry.

Designing structures using composite materials poses unique challenges due especially to the need for concurrent design of both material and structure.... Students are faced with two options: textbooks that teach the theory of advanced mechanics of composites, but lack computational examples of advanced analysis; and books on finite element analysis that may or may not demonstrate very limited applications to composites. But now there is third option that makes the other two obsolete: Ever J. Barbero's Finite Element Analysis of Composite Materials.By layering detailed theoretical and conceptual discussions with fully developed examples, this text supplies the missing link between theory and implementation. In-depth discussions cover all of the major aspects of advanced analysis, including three-dimensional effects, viscoelasticity, edge effects, elastic instability, damage, and delamination. More than 50 complete examples using mainly ANSYS™, but also including some use of MATLAB®, demonstrate how to use the concepts to formulate and execute finite element analyses and how to interpret the results in engineering terms. Additionally, the source code for each example is available for download online.Cementing applied computational and analytical experience to a firm foundation of basic concepts and theory, Finite Element Analysis of Composite Materials offers a modern, practical, and versatile classroom tool for today's engineering classroom.

While many authors cover the theory of finite element modeling, this is the only book available that incorporates ANSYS as an integral part of its... content. Moaveni presents the theory of finite element analysis, explores its application as a design/modeling tool, and explains in detail how to use ANSYS intelligently and effectively. Now uses Excel in solving simple finite element problems. Adds a significant number of new problems. Incorporates the latest version of ANSYS throughout. A useful reference for mechanical, civil and environmental engineers.

The goal of this book is to focus on introductory modeling techniques used in finite element analysis, and illustrated thought the use of the Algor... program. Many of the capabilities and limitations of finite element analysis will be addressed. This will hopefully help the reader to become a more responsible user of the finite element method. Unfortunately, some people believe that finite element analysis is just another add-on feature to a CAD program, and therefore does not require any additional expertise to use. As many experienced finite element users will testify, the most impressive finite element mesh does not produce accurate results, if other parameters (such as: boundary conditions, loads, or element type) are not correctly defined. Hopefully, after reading this book and working through the exercises, the reader will gain an introductory understanding of how to build finite element models that correctly represent the corresponding physical parts.

The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all... the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference.Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media.The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site.For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Oriented toward those who will use finite elements (FE) rather than toward theoreticians and computer programmers. Emphasizes the behavior of FE and how... to use the FE method successfully. Includes several examples of FE analysis--each one features a critique of the accuracy of the solutions. Contains end-of-chapter exercises and extensive advice about FE modeling.

For courses in finite element methods, finite element analysis taught in departments of Civil, Mechanical, Aerospace, Agriculture, and Mechanics... departments. Course for which this book is appropriate is usually taught to seniors or graduate students.Comprehensive -- this text explores the full range of finite element methods used in engineering practice for actual applications in computer-aided design. It provides not only an introduction to finite element methods and the commonality in the various techniques, but explores state-of-the-art methods as well -- with a focus on what are deemed to become "classical techniques" -- procedures that will be standard and authoritative for finite element analysis for years to come.

For courses in finite element methods, finite element analysis taught in departments of Civil, Mechanical, Aerospace, Agriculture, and Mechanics... departments. Course for which this book is appropriate is usually taught to seniors or graduate students.Comprehensive -- this text explores the full range of finite element methods used in engineering practice for actual applications in computer-aided design. It provides not only an introduction to finite element methods and the commonality in the various techniques, but explores state-of-the-art methods as well -- with a focus on what are deemed to become "classical techniques" -- procedures that will be standard and authoritative for finite element analysis for years to come.

Finite Element Simulations with ANSYS Workbench 14 is a comprehensive and easy to understand workbook. It utilizes step-by-step instructions to help... guide readers to learn finite element simulations. Twenty seven case studies are used throughout the book. Many of these cases are industrial or research projects the reader builds from scratch. An accompanying DVD contains all the files readers may need if they have trouble. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical, short, yet comprehensive. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences spreads though this entire book. A typical chapter consists of 6 sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems. Who this book is for This book is designed to be used mainly as a textbook for undergraduate and graduate students. It will work well in: a finite element simulation course taken before any theory-intensive courses an auxiliary tool used as a tutorial in parallel during a Finite Element Methods course an advanced, application oriented, course taken after a Finite Element Methods course Table of Contents Introduction Sketching 2D Simulations 3D Solid Modeling 3D Simulations Surface Models Line Models Optimization Meshing Buckling and Stress Stiffening Modal Analyses Structural Dynamics Nonlinear Simulations Nonlinear Materials Explicit Dynamics Index

Finite Element Solution of Boundary Value Problems: Theory and Computation provides a thorough, balanced introduction to both the theoretical and the... computational aspects of the finite element method for solving boundary value problems for partial differential equations. Although significant advances have been made in the finite element method since this book first appeared in 1984, the basics have remained the same, and this classic, well-written text explains these basics and prepares the reader for more advanced study. Useful as both a reference and a textbook, complete with examples and exercises, it remains as relevant today as it was when originally published.

This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both... research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.