The.Hottest

Tarek I. Zohdi ...
108 pages
Publisher: Springer; (August 13, 2014)
Language: English
ISBN-10: 3319090356
ISBN-13: 978-3319090351

The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity.

The topics covered are:
(1) Weighted residual methods and Galerkin approximations,
(2) A model problem for one-dimensional linear elastostatics,
(3) Weak formulations in one dimension,
(4) Minimum principles in one dimension,
(5) Error estimation in one dimension,
(5) Construction of Finite Element basis functions in one dimension,
(6) Gaussian Quadrature,
(7) Iterative solvers and element by element data structures,
(8) A model problem for three-dimensional linear elastostatics,
(9) Weak formulations in three dimensions,
(10) Basic rules for element construction in three-dimensions,
(11) Assembly of the system and solution schemes,
(12) Assembly of the system and solution schemes,
(13) An introduction to time-dependent problems and
(14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.

Weimin Han, Daya Reddy ... 
424 pages - Publisher: Springer; 2nd edition (November 16, 2012)
Language: English - ISBN-10: 1461459397 - ISBN-13: 978-1461459392

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews).

A. J. Baker ... 288 pages - Publisher: Wiley; 1st edition (October, 2012) - Language: English - ISBN-10: 1119940508 - ISBN-13: 978-1119940500 ...

Approaches computational engineering sciences from the perspective of engineering applications Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in the engineering sciences. Key features: * Illustrative examples include heat conduction, structural mechanics, mechanical vibrations, heat transfer with convection and radiation, fluid mechanics and heat and mass transport * Takes a cross-discipline continuum mechanics viewpoint * Includes Matlab toolbox and .m data files on a companion website, immediately enabling hands-on computing in all covered disciplines * Website also features eight topical lectures from the author's own academic courses It provides a holistic view of the topic from covering the different engineering problems that can be solved using finite element to how each particular method can be implemented on a computer. Computational aspects of the method are provided on a companion website facilitating engineering implementation in an easy way.

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