It aims to offer the most flexible framework for solving potentially coupled systems of linear and nonlinear partial differential equations with the finite element method. It works in arbitrary dimension and allow to couple 1D, 2D and 3D problems.
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This allows a wide range of experiments. Many examples and demos are provided. It is therefore often necessary to import meshes. An open-source finite element library. A symbolic derivation that allows to automatically obtain the tangent system for nonlinear problems. A compilation of assembly terms into optimized basic instructions.
A model description that gather the variables, data and terms of a problem and some predefined bricks representing classical models : elasticity in small and large deformations, Helmholtz problem, scalar elliptic problem, Dirichlet, contact and Neumann boundary conditions, incompressibility constraint, A complete separation between geometric transformation, finite element method, integration methods and partial differential term description, which allows to easily switch from a method to another.
MATLAB Guide to Finite Elements : P.I. Kattan :
Additionally, short answers to all problems are provided at the end of the book. On balance, this book written in interactive manner can be very useful to students and engineers dealing with applications of finite element method in structural mechanics. The book's style is straightforward and easy to comprehend.
Summing Up: Recommended. Lower- and upper-division undergraduates; professionals. Problems from linear elastic structure mechanics are used throughout the book.
The book is very useful to both students and researchers in engineering. The book is well written and very easy to read by students The author succeeded in providing a valuable tool to help engineering students learn the main steps of finite element analysis using MATLAB. You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.
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ISBN 13: 9783540706977
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Please create a new list with a new name; move some items to a new or existing list; or delete some items. Your request to send this item has been completed. In this edition, I amproviding two email addresses for my readers to contact me pkattan tedata. The old email address that appeared in the first edition wascancelled in Problems will be solved mainly using MATLAB to carry out the tediousand lengthy matrix calculations in addition to some manual manipulations especiallywhen applying the boundary conditions.
In particular the steps of the finite elementmethod are emphasized in this book. Problems from linear elastic structuralmechanics are used throughout the book. The emphasis is not on mass computationor programming, but rather on learning the finite element method computations andunderstanding of the underlying concepts. Each chapterdeals with only one type of element.
Also each chapter starts with a summary of thebasic equations for the element followed by a number of examples demonstratingthe use of the element using the provided MATLAB functions. They should work with other later versions. Each chapteralso ends with a number of problems to be used as practice for students. It is intended as a supplementary text to be used with a main textbook foran introductory course on the finite element method. Since the computations of finiteelements usually involve matrices and matrix manipulations, it is only natural thatstudents use a matrix-based software package like MATLAB to do the calculations.
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The book is divided into fifteen chapters that are well defined ad correlated. It is usedmainly for problems in structural mechanics. A sequence of six steps is outlined in the first chapter for the finite element method. These six steps are then used systematically in each chapter throughout the book. No ready-made subroutines are provided tobe used as black boxes. Answers to the all problems are provided at the end of the book.
It is over pages in length. ThomasDitzinger for their cooperation and assistance during the writing of this book.
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