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Structural Analysis with the Finite Element Method Linear Statics: Volume 2. Beams, Plates and Shells

✍ Scribed by Eugenio Oñate (auth.)


Publisher
Springer Netherlands
Year
2013
Tongue
English
Leaves
894
Series
Lecture Notes on Numerical Methods in Engineering and Sciences
Edition
1
Category
Library

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✦ Synopsis


STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD

Linear Statics

Volume 1 : The Basis and Solids

Eugenio OΓ±ate

The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years.

Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results.

The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD

Linear Statics

Volume 2: Beams, Plates and Shells

Eugenio OΓ±ate

The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years.

Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials.

The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

✦ Table of Contents


Front Matter....Pages i-xxx
Slender Plane Beams. Euler-Bernoulli Theory....Pages 1-36
Thick/Slender Plane Beams. Timoshenko Theory....Pages 37-97
Composite Laminated Plane Beams....Pages 98-149
3D Composite Beams....Pages 150-232
Thin Plates. Kirchhoff Theory....Pages 233-290
Thick/Thin Plates. Reissner-Mindlin Theory....Pages 291-381
Composite Laminated Plates....Pages 382-437
Analysis of Shells With Flat Elements....Pages 438-524
Axisymmetric Shells....Pages 525-604
Curved 3D Shell Elements and Shell Stiffners....Pages 605-674
Prismatic Structures. Finite Strip and Finite Prism Methods....Pages 675-728
Programming the Fem For Beam, Plate and Shell Analysis in Mat-fem....Pages 729-790
Back Matter....Pages 791-864

✦ Subjects


Computational Intelligence; Structural Mechanics; Computer-Aided Engineering (CAD, CAE) and Design; Numerical Analysis


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