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Finite Element Analysis represents a numerical technique for finding approximate solutions to partial differential equations as well as integral equations, permitting the numerical analysis of complex structures based on their material properties. This book presents 20 different chapters in the application of Finite Elements, ranging from Biomedical Engineering to Manufacturing Industry and Industrial Developments. It has been written at a level suitable for use in a graduate course on applications of finite element modelling and analysis (mechanical, civil and biomedical engineering studies, for instance), without excluding its use by researchers or professional engineers interested in the field, seeking to gain a deeper understanding concerning Finite Element Analysis.

Finite element method. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Computer modelling & simulation

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Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

Finite element method. --- Isogeometric analysis. --- Mathematics, General. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Iso-geometric analysis --- Mathematics, general. --- Numerical analysis --- Isogeometric analysis --- Combinatorial geometry --- Isometrics (Mathematics) --- Finite element method --- Math --- Science

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"Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning" [Publisher] "This worked examples text is primarily intended as a companion to the second edition of the text book Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet and Richard D. Wood. However, to be reasonably self contained, where necessary key equations from the text book are replicated in each chapter" [Publisher]

Continuum mechanics. --- Finite element method. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Milieux continus, Mécanique des. --- Éléments finis, Méthode des. --- Milieux continus, Mécanique des. --- Éléments finis, Méthode des.

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This book describes new methods developed for modelling dynamics of machines commonly used in the offshore industry. These methods are based both on the rigid finite element method, used for the description of link deformations, and on homogeneous transformations and joint coordinates, which is applied to the modelling of multibody system dynamics. In this monograph, the bases of the rigid finite element method  and homogeneous transformations are introduced. Selected models for modelling dynamics of offshore devices are then verified both by using commercial software, based on the finite element method, as well as by using additional methods. Examples of mathematical models of offshore machines, such as a gantry crane for Blowout-Preventer (BOP) valve block transportation, a pedestal crane with shock absorber, and pipe laying machinery are presented. Selected problems of control in offshore machinery as well as dynamic optimization in device control are also discussed. Additionally, numerical simulations of pipe-laying operations taking active reel drive into account are shown.

Offshore structures --- Finite element method. --- Dynamics --- Mathematical models. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Marine structures --- Offshore installations --- Structures, Offshore --- Offshore structures. --- Offshore technology. --- Pipelines. --- Ocean Engineering --- Engineering. --- Computer mathematics. --- Mechanical engineering. --- Mechanical Engineering. --- Computational Science and Engineering. --- Numerical analysis --- Isogeometric analysis --- Hydraulic engineering --- Ocean engineering --- Computer science. --- Informatics --- Science --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computer mathematics --- Electronic data processing --- Mathematics --- Data processing.

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This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Differential equations, Partial -- Numerical solutions. --- Differential equations. --- Finite element method. --- Finite element method --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer Science --- Calculus --- Differential equations --- Data processing. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- 517.91 Differential equations --- Mathematics. --- Earth sciences. --- Numerical analysis. --- Computer mathematics. --- Computer software. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Mathematical Software. --- Theoretical, Mathematical and Computational Physics. --- Numeric Computing. --- Appl.Mathematics/Computational Methods of Engineering. --- Computational Science and Engineering. --- Earth Sciences, general. --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Software, Computer --- Computer systems --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Geosciences --- Environmental sciences --- Math --- Science --- Numerical analysis --- Isogeometric analysis --- Electronic data processing. --- Computer science. --- Geography. --- Mathematical and Computational Engineering. --- Cosmography --- Earth sciences --- World history --- Informatics --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Automation --- Mathematical physics. --- Physical mathematics --- Physics --- Numerical solutions --- Computer science