For final year graduate and postgraduate courses in the finite element method, this book introduces the method as applied to linear, non-linear and ...Show synopsisFor final year graduate and postgraduate courses in the finite element method, this book introduces the method as applied to linear, non-linear and one- and two-dimensional problems of engineering and applied sciences. It includes a step-by-step systematic approach to the formulation and analysis of differential and integral equations in variational forms. The book adopts a differential equation approach, avoiding the need for knowledge of the variational principles of solid mechanics in the development of the finite element models. The need for the weighted-integral formulation of differential equations is explained clearly, providing the student with logical reasons for the recasting of differential equations into variational form.Hide synopsis
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Description:New. Known for its unique approach and detailed, carefully...New. Known for its unique approach and detailed, carefully selected examples problems and home work problems, this text comprehensively covers a wide range of engineerign areas. This makes the book appropriate for all engineering majors and underscores the wide range of uses FEM has in the professional world. Table of contents Chapter 1 Introduction Chapter 2 Mathematical Preliminaries, Integral Formulations, and Variational Methods Chapter 3 Second-order Differential Equations in One Dimension: Finite Element Models Chapter 4 Second-order Differential Equations in One Dimension: Applications Chapter 5 Beams and Frames Chapter 6 Eigenvalue and Time-Dependent Problems Chapter 7 Computer Implementation Chapter 8 Single-Variable Problems in Two Dimensions Chapter 9 Interpolation Functions, Numerical Integration, and Modeling Considerations Chapter 10 Flows of Viscous Incompressible Fluids Chapter 11 Plane Elasticity Chapter 12 Bending of Elastic Plates Chapter 13 Computer Implementation of Two-Dimensional Problems Chapter 14 Prelude to Advanced Topics Printed Pages: 782..
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