Engineering Computation of Structures: The Finite Element Method

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This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems.

Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile.

Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses.

Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

Author(s): Maria Augusta Neto, Ana Amaro, Luis Roseiro, José Cirne, Rogério Leal (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: XIII, 314
Tags: Theoretical and Applied Mechanics; Mechanical Engineering; Computational Mathematics and Numerical Analysis; Mathematics of Computing

Front Matter....Pages i-xiii
Mechanics of Solids and Structures....Pages 1-41
Introduction to Finite Element Method....Pages 43-79
Finite Element Method for Trusses....Pages 81-114
Finite Element Method for Beams....Pages 115-156
Finite Element Method for Membranes (2-D Solids)....Pages 157-194
Finite Element Method for Plates/Shells....Pages 195-232
Finite Element Method for 3D Solids....Pages 233-263
Advanced FEM Modelling....Pages 265-310
Back Matter....Pages 311-314