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An Introduction to Linear and Nonlinear Finite Element Analysis

GeoEngineerings Monday, June 13, 2016 Books , Finite Element Model , Mechanics

Prem Kythe, D. Wei ... 445 pages - Publisher: Birkhäuser; 1st edition (November, 2013) ... Language: English - ISBN-10: 1461264669 - ISBN-13: 978-1461264668.

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Although finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics. Unlike existing texts designed with specific applications to a particular field of mechanical, civil, or chemical engineering, the emphasis here is on interdisciplinary applications. One- and two-dimensional linear and nonlinear initial/boundary value problems are solved using finite element, Newton's, and conjugate gradient methods. Mathematical theory is kept to a minimum, making the text accessible to students with varied backgrounds.

Computational Statics and Dynamics: An Introduction Based on the Finite Element Method

GeoEngineerings Thursday, May 19, 2016 Books , Dynamics , Finite Element Model , Statics

Andreas Öchsner ... 485 pages - Publisher: Springer; (May, 2016) ... Language: English - ISBN-10: 9811007322 - ISBN-13: 978-9811007323.

This book introduces readers to modern computational mechanics based on the finite element method. It helps students succeed in mechanics courses by showing them how to apply the fundamental knowledge they gained in the first years of their engineering education to more advanced topics. In order to deepen readers’ understanding of the derived equations and theories, each chapter also includes supplementary problems. These problems start with fundamental knowledge questions on the theory presented in the chapter, followed by calculation problems. In total over 80 such calculation problems are provided, along with brief solutions for each. This book is especially designed to meet the needs of Australian students, reviewing the mathematics covered in their first two years at university. The 13-week course comprises three hours of lectures and two hours of tutorials per week.

Model Order Reduction Techniques with Applications in Finite Element Analysis

GeoEngineerings Monday, May 16, 2016 Books , Finite Element Model , Mechanics

Zu-Qing Qu ... 369 pages - Publisher: Springer; 1st edition (November, 2010) ...
Language: English - ISBN-10: 1849969248 - ISBN-13: 978-1849969246 ...

Despite the continued rapid advance in computing speed and memory the increase in the complexity of models used by engineers persists in outpacing them. Even where there is access to the latest hardware, simulations are often extremely computationally intensive and time-consuming when full-blown models are under consideration. The need to reduce the computational cost involved when dealing with high-order/many-degree-of-freedom models can be offset by adroit computation. In this light, model-reduction methods have become a major goal of simulation and modeling research. Model reduction can also ameliorate problems in the correlation of widely used finite-element analyses and test analysis models produced by excessive system complexity.

Model Order Reduction Techniques explains and compares such methods focusing mainly on recent work in dynamic condensation techniques: Compares the effectiveness of static, exact, dynamic, SEREP and iterative-dynamic condensation techniques in producing valid reduced-order models; Shows how frequency shifting and the number of degrees of freedom affect the desirability and accuracy of using dynamic condensation; Answers the challenges involved in dealing with undamped and non-classically damped models; Requires little more than first-engineering-degree mathematics and highlights important points with instructive examples. Academics working in research on structural dynamics, MEMS, vibration, finite elements and other computational methods in mechanical, aerospace and structural engineering will find Model Order Reduction Techniques of great interest while it is also an excellent resource for researchers working on commercial finite-element-related software such as ANSYS and Nastran.

The Finite Element Analysis of Shells: Fundamentals 2nd Edition

GeoEngineerings Sunday, May 15, 2016 Books , Finite Element Model , Mechanics

Dominique Chapelle, Klaus-Jurgen Bathe ... 410 pages - Publisher: Springer; 2nd edition (December, 2010) ... Language: English - ISBN-10: 3642164072 - ISBN-13: 978-3642164071 ...

This book presents a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. In this Second Edition the authors give new developments in the field and - to make the book more complete - more explanations throughout the text, an enlarged section on general variational formulations and new sections on 3D-shell models, dynamic analyses, and triangular elements. The analysis of shells represents one of the most challenging fields in all of mechanics, and encompasses various fundamental and generally applicable components. Specifically, the material presented in this book regarding geometric descriptions, tensors and mixed variational formulations is fundamental and widely applicable also in other areas of mechanics.

Textbook of Finite Element Analysis

GeoEngineerings Friday, May 13, 2016 Books , Finite Element Model

P. Seshu ... 340 pages - Publisher: PHI; (June 24, 2013)
Language: English - ASIN: B00K7YKDLU

Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. Appendices that include mini-project topics based on near-real-life problems.

Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful.

Finite Element Techniques for Fluid Flow

GeoEngineerings Thursday, April 14, 2016 Books , Finite Element Model , Fluid Mechanics

Jerome J. Connor, C. A. Brebbia ...
340 pages - Publisher: Transatlantic Arts; (February 1977)
Language: English - ISBN-10: 0408001763 - ISBN-13: 978-0408001762

Vibration Theory and Applications with Finite Elements and Active Vibration Control

GeoEngineerings Monday, April 11, 2016 Books , Finite Element Model , Mechanics

Alan Palazzolo ...
976 pages - Publisher: Wiley; 1st edition (March 21, 2016)
Language: English - ISBN-10: 1118350804 - ISBN-13: 978-1118350805

Based on many years of research and teaching, this book brings together all the important topics in linear vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotordynamics, model reduction methods, and finite element methods utilizing truss, beam, membrane and solid elements. It also explores in detail active vibration control, instability and modal analysis. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively.

Energy Methods in Structural Mechanics

GeoEngineerings Saturday, April 09, 2016 Books , Finite Element Model , Mechanics , Structures

Federico Guarracino, Alastair C. Walker ...
270 pages - Publisher: Thomas Telford Ltd; (January 1, 1999)
Language: English - ISBN-10: 0727727575 - ISBN-13: 978-0727727572

The book provides a basic and clear introduction to the principles underlying finite elements and the computer based methods of the analysis of structures commonly used in industry. There can be a danger that, without such an understanding, engineers will use these computer based analysis tools as black boxes and accept results without being aware of the real significance of the information obtained.

Smoothed Finite Element Methods

GeoEngineerings Thursday, March 17, 2016 Books , Finite Element Model

G. R. Liu, Nguyen Thoi Trung ...
691 pages -Publisher: CRC Press; 1st edition (June 8, 2010)
Language: English - ISBN-10: 1439820279 - ISBN-13: 978-1439820278

Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve more accurate results, a generally higher convergence rate in energy without increasing computational cost, and easier auto-meshing of the problem domain. Drawing on the authors’ extensive research results, Smoothed Finite Element Methods presents the theoretical framework and development of various S-FEM models.

After introducing background material, basic equations, and an abstracted version of the FEM, the book discusses the overall modeling procedure, fundamental theories, error assessment matters, and necessary building blocks to construct useful S-FEM models. It then focuses on several specific S-FEM models, including cell-based (CS-FEM), node-based (NS-FEM), edge-based (ES-FEM), face-based (FS-FEM), and a combination of FEM and NS-FEM (αFEM). These models are then applied to a wide range of physical problems in solid mechanics, fracture mechanics, viscoelastoplasticity, plates, piezoelectric structures, heat transfer, and structural acoustics.

Requiring no previous knowledge of FEM, this book shows how computational methods and numerical techniques like the S-FEM help in the design and analysis of advanced engineering systems in rapid and cost-effective ways since the modeling and simulation can be performed automatically in a virtual environment without physically building the system. Readers can easily apply the methods presented in the text to their own engineering problems for reliable and certified solutions.

Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics

GeoEngineerings Thursday, March 17, 2016 Books , Finite Element Model , Mechanics

Dietrich Braess ... 384 pages - Publisher: Cambridge University Press; 3rd edition (April 30, 2007)
Language: English - ISBN-10: 0721662439 - ISBN-13: 978-0415061391

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.

The Finite-Difference Modelling of Earthquake Motions: Waves and Ruptures

GeoEngineerings Friday, March 11, 2016 Books , Dynamics , Earthquake , Finite Element Model

Peter Moczo, Jozef Kristek, Martin Galis ... 383 pages -Publisher: Cambridge University Press; 1st edition (June 23, 2014)
Language: English - ISBN-10: 1107028817 - ISBN-13: 978-1107028814

Among all the numerical methods in seismology, the finite-difference (FD) technique provides the best balance of accuracy and computational efficiency. This book offers a comprehensive introduction to FD and its applications to earthquake motion. Using a systematic tutorial approach, the book requires only undergraduate degree-level mathematics and provides a user-friendly explanation of the relevant theory. It explains FD schemes for solving wave equations and elastodynamic equations of motion in heterogeneous media, and provides an introduction to the rheology of viscoelastic and elastoplastic media. It also presents an advanced FD time-domain method for efficient numerical simulations of earthquake ground motion in realistic complex models of local surface sedimentary structures. Accompanied by a suite of online resources to help put the theory into practice, this is a vital resource for professionals and academic researchers using numerical seismological techniques, and graduate students in earthquake seismology, computational and numerical modelling, and applied mathematics.

The Finite Element Method: A Practical Course

GeoEngineerings Monday, February 29, 2016 Books , Finite Element Model

G. R. Liu, S. S. Quek ...
464 pages -Publisher: Butterworth-Heinemann; 2nd edition (September 27, 2013) ...
Language: English - ISBN-10: 0080983561 - ISBN-13: 978-0080983561 ...

Written for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and applies the techniques to civil, mechanical, and aerospace problems. Updated throughout for current developments in FEM and FEM software, the book also includes case studies, diagrams, illustrations, and tables to help demonstrate the material.

Plentiful diagrams, illustrations and tables demonstrate the material + Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality + Full set of PowerPoint presentation slides that illustrate and support the book, available on a companion website.

The Finite Element Method: Linear Static and Dynamic Finite Element Analysis

GeoEngineerings Wednesday, February 24, 2016 Books , Dynamics , Finite Element Model , Statics

Thomas J. R. Hughes ... 704 pages - Publisher: Dover Publications; (August 16, 2000)
Language: English - ISBN-10: 0486411818 - ISBN-13: 978-0486411811

This text is geared toward assisting engineering and physical science students in cultivating comprehensive skills in linear static and dynamic finite element methodology. Based on courses taught at Stanford University and the California Institute of Technology, it ranges from fundamental concepts to practical computer implementations. Additional sections touch upon the frontiers of research, making the book of potential interest to more experienced analysts and researchers working in the finite element field.

In addition to its examination of numerous standard aspects of the finite element method, the volume includes many unique components, including a comprehensive presentation and analysis of algorithms of time-dependent phenomena, plus beam, plate, and shell theories derived directly from three-dimensional elasticity theory. It also contains a systematic treatment of "weak," or variational, formulations for diverse classes of initial/boundary-value problems.

Directed toward students without in-depth mathematical training, the text incorporates introductory material on the mathematical theory of finite elements and many important mathematical results, making it an ideal primer for more advanced works on this subject.

Stochastic Structural Dynamics: Application of Finite Element Methods

GeoEngineerings Monday, February 15, 2016 Books , Dynamics , Finite Element Model

Cho Wing Solomon To ... 350 pages - Publisher: Wiley; 1st edition (December, 2013) ...
Language: English - ISBN-10: 1118342356 - ISBN-13: 978-1118342350 ...

One of the first books to provide in-depth and systematic application of finite element methods to the field of stochastic structural dynamics: The parallel developments of the Finite Element Methods in the 1950’s and the engineering applications of stochastic processes in the 1940’s provided a combined numerical analysis tool for the studies of dynamics of structures and structural systems under random loadings. In the open literature, there are books on statistical dynamics of structures and books on structural dynamics with chapters dealing with random response analysis. However, a systematic treatment of stochastic structural dynamics applying the finite element methods seems to be lacking. Aimed at advanced and specialist levels, the author presents and illustrates direct integration methods for analyzing the statistics of the response of structures to stochastic loads. The analysis methods are based on structural models represented via the Finite Element Method. In addition to stationary linear problems the text also addresses non-stationary excitation and systems with spatially stochastic property variations. ♦ A systematic treatment of stochastic structural dynamics applying the finite element methods ♦ Highly illustrated throughout and aimed at advanced and specialist levels, it focuses on computational aspects instead of theory ♦ Emphasizes results mainly in the time domain with limited contents in the frequency domain ♦ Presents and illustrates direct integration methods for analyzing the statistics of the response of structures to stochastic loads.

Finite Element Analysis

GeoEngineerings Sunday, February 14, 2016 Books , Dynamics , Finite Element Model , Mechanics

G. Lakshmi Narasaiah ... 349 pages - Publisher: BS Publications; (2008) ... Language: English - ISBN-10: 9788178001401- ISBN-13: 9788178001401.

1. Introduction. 2. Matrix operations. 3. Theory of elasticity. 4. Discrete (1 D) elements. 5. Continuum (2 D and 3 D) elements. 6. Higher order and Iso parametric elements. 7. Factors influencing solution. 8. Dynamic analysis (undamped free vibrations). 9. Steady state heat conduction. 10. Design validation and other types of analysis. 11. Computational fluid dynamics. 12. Practical analysis using a software. Objective questions. Answers. References for additional reading. Index. Finite element method popularly known as FEM has undergone a major paradigm shift from a detailed mathematical background to write tailor made computer programs to an understanding of the subject for better utilisation of available software such as ANSYS NISA ADINA PAFEC NASTRAN etc.

The author with his rich experience has made an effort in this direction and prepared a textbook on FEM ideally suited for the undergraduates. Special features Comprehensive study material including all relevant topics. Includes matrix methods inversion eigenvalues and eigenvectors. Includes relevant portions of theory of elasticity. Case studies and practical problems for better understanding of the concepts. Brief coverage of CFD. Solved problems and objective questions for students. Examples with a commercial software (ANSYS) and validation of results for code compliance for practicing engineers.

Fundamentals of Finite Element Analysis

GeoEngineerings Thursday, February 04, 2016 Books , Finite Element Model

David V. Hutton ...
494 pages - Publisher: Tata McGraw Hill India; 1st edition (2003)
Language: English - ISBN-10: 0070601224 - ISBN-13: 978-0070601222

This new text, intended for the senior undergraduate finite element course in mechanical, civil and aerospace engineering departments, gives students a solid, practical understanding of the principles of the finite element method within a variety of engineering applications.

Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of senior engineering students. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of finite element analysis to nonstructural problems.

The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples. A Book Website is also included, with book illustrations for class presentation; complete problem solutions (password protected); the FEPC 2-D finite element program for student use; instructions on FEPC and its use with the text; and links to commercial FEA sites.

The Finite Element Method for Mechanics of Solids with ANSYS Applications

GeoEngineerings Monday, December 21, 2015 ANSYS , Books , Finite Element Model , Mechanics

Ellis H. Dill ... 508 pages - Publisher: CRC Press; (August, 2011) ... Language: English - ASIN: B00UV98WSC by Amazon Digital Services...

While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer’s software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite Element Method for Mechanics of Solids with ANSYS Applications explains the foundations of FEM in detail, enabling engineers to use it properly to analyze stress and interpret the output of a finite element computer program such as ANSYS. Illustrating presented theory with a wealth of practical examples, this book covers topics including: Essential background on solid mechanics (including small- and large-deformation elasticity, plasticity, and viscoelasticity) and mathematics. + Advanced finite element theory and associated fundamentals, with examples. + Use of ANSYS to derive solutions for problems that deal with vibration, wave propagation, fracture mechanics, plates and shells, and contact. Totally self-contained, this text presents step-by-step instructions on how to use ANSYS Parametric Design Language (APDL) and the ANSYS Workbench to solve problems involving static/dynamic structural analysis (both linear and non-linear) and heat transfer, among other areas. It will quickly become a welcome addition to any engineering library, equally useful to students and experienced engineers alike.

Structural Analysis with Finite Elements

GeoEngineerings Tuesday, December 08, 2015 Books , Finite Element Model , Structures

Friedel Hartmann, Casimir Katz ...
598 pages
Publisher: Springer; 2nd edition (May 29, 2007)
Language: English
ISBN-10: 354049698X
ISBN-13: 978-3540496984

This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity.

Computational Structural Analysis and Finite Element Methods

GeoEngineerings Monday, November 16, 2015 Books , Finite Element Model , Structures

A. Kaveh ... 432 pages- Publisher: Springer; (December, 2013) ... Language: English- ISBN-10: 3319029630- ISBN-13: 978-3319029634 ...

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

Finite Elements Methods in Mechanics

GeoEngineerings Monday, November 16, 2015 Books , Finite Element Model , Mechanics

M. Reza Eslami ...
370 pages - Publisher: Springer; (June 24, 2014)
Language: English - ISBN-10: 3319080369 - ISBN-13: 978-3319080369

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

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