MATLAB Codes for Finite Element Analysis: Solids and Structures (Solid Mechanics and Its Application

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Author : Antonio J. M. Ferreira
Genre : Science

Summary : This book illustrates how MATLAB compact and powerful programming framework can be very useful in the finite element analysis of solids and structures. The book shortly introduces finite element concepts and an extensive list of MATLAB codes for readers to use and modify. The book areas range from very simple springs and bars to more complex beams and plates in static bending, free vibrations, buckling and time transient problems. Moreover, laminated and functionally graded material structures are introduced and solved.

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Author : A. J. M. Ferreira
Genre : Technology & Engineering

Summary : This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to ferreira@fe.up.pt.

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Author : Salar Farahmand-Tabar
Genre : Computers

Summary : Practical Programming of Finite Element Procedures for Solids and Structures with MATLAB: From Elasticity to Plasticity provides readers with step-by-step programming processes and applications of the finite element method (FEM) in MATLAB®, as well as the underlying theory. The hands-on approach covers a number of structural problems such as linear analysis of solids and structural elements, as well as nonlinear subjects including elastoplasticity and hyperelasticity. Each chapter begins with foundational topics to provide a solid understanding of the subject, then progresses to more complicated problems with supporting examples for constructing the appropriate program. This book focuses on topics commonly encountered in civil, mechanical, and aerospace engineering. Special situations in structural analysis, 2D and 3D solids with various mesh elements, surface and body loading, incremental solution process, elastoplasticity, and finite deformation hyperelastic analysis are covered. Code that can be implemented and further extended is also provided. Covers both theory and practice of the finite element method (FEM) Hands-on approach that provides a variety of both simple and complex problems for readers Includes MATLAB® codes that can be immediately implemented as well as extended by readers to improve their own FEM skills Provides special cases of structural analysis, elastoplasticity and hyperelasticity problems

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Author : Sung W. Lee
Genre : Computers

Summary : Explains the basic mathematics needed for a balanced understanding of finite element method theory and its implementation.

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Author : Herbert Baaser
Genre : Technology & Engineering

Summary : The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scienti?c brancheshavegrownup besides overthelastdecades. Nevertheless,theFEM today is a question of economy. On the one hand its industrial application is forced to reduce product development costs and time, on the other hand a large number of commercial FEM codes and a still growing number of software for e?ective pre– and postprocessors are available in the meantime. Due to that, today it is a quite challenging task to operate with all these di?erent tools at the same time and to understand all handling and so- tion techniques developed over the last years. So, we want to help in getting a deeper insight into the main “interfaces” between the “customers of the FEM” and the codes itself by providing a totally open structured FE–code based on Matlab, which is a very powerful tool in operating with matrix based formulations. That idea and conditions forced us some years ago to initiateDAEdalon as a tool for general FE developments in research appli- tions. In spite of still existing high sophisticated – mostly commercial – FE codes, the success and the acceptance of such a structured tool justify that decision afterwards more and more.

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Author : Allan F. Bower
Genre : Science

Summary : Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o