Ingénierie
Finite Element Method : Théorie, Software et Practice
Description
This book deals avec basic theory, concepts et applications de finite element method en le areas de structural analysis, heat transfer et metal working processes. Le finite element formulations are developed through easy to understand derivations pour le analyses (static, transient dynamic et geometrical nonlinear) de bars, beams, plane stress/plane strain et axisymmetric solids, plates, shells et three-dimensional structures, made de both isotropic as well as composite materials. Chapters sur heat transfer et metal working analyses have also been added to increase le scope de application. Un significant feature de this book is le presentation de a user-friendly computer code "SB-FEM" (available sur an accompanying disk) which can be used to solve several real world problems included en le text. Le computer code covers le gap between theory et application et thus enables le reader to use le finite element method to solve practical problems avec minimum effort et within a very short time. Written en a simple straightforward manner avec broad coverage et consistent style en le presentation, this book may be an indispensable text pour students (senior undergraduate or graduate students) as well as practicing engineers en le relevant fields.
Table des matières
Preface; Introduction à Finite Element Method: Introduction; Purpose de Using FEM; Applications de FEM; Brief Histoire de FEM; Basic Steps en FEA; Stages en Finite Element Programming; Ingredients de Finite Element Method: Introduction; Discretization de le Domain; Interpolation Models; Derivation de Element Matrices et Vectors; Assembly de Element Matrices; Incorporation de Boundary Conditions; Solution de Finite Element Equations; Computation de Resultant Variables; Software pour Finite Element Analyse: Introduction; Features de le Ordinateur Code; Preprocessing (Building le Model); Processing (Applying Loads et Obtaining le Solution); Postprocessing (Reviewing le Results); SB-FEM Commands et Command Interpreter; Installation de SB-FEM; Using SB-FEM Code; Analyse de Trusses/Bars: Introduction; Bar Element (Local Coordinates); Bar (Truss) Element (Oriented Arbitrarily en Two-Dimensional Plane); Bar (Truss) Element (Oriented Arbitrarily en Three-Dimensional Space); Assembly de Multiple Element Contributions; Example Problems; Analyse de Beams: Introduction; Euler-Bernoulli Beam; Shear Deformation en Beams; Le 3-Noded Timoshenko Beam Element; Example Problems; Two-dimensional Stress Analyse: Introduction; Triangular Elements; Quadrilateral Elements; Example Problems; Analyse de Plates: Introduction; Forces et Moments Acting sur le Plate; Thin Plate Théorie; Shear Deformation en Plates; Finite Element Formulation; Example Problems; Three-dimensional Stress Analyse: Introduction; Tetrahedral Elements; Eight Noded Brick Element; Twenty Noded Brick Element; Layered Brick Elements; Example Problems; Transient Dynamic Analyse: Introduction; General Derivation de Finite Element Dynamic Equilibrium Equations; Numerical Solution de Finite Element Equations; Consistent et Lumped Mass Matrices; Example Problems; Geometrical Non-Linearity: Introduction; Non-Linear Strain-Displacement Relations; Large Displacement Finite Element Formulation; Example Problems; Non-linear Analyse de Shells: Introduction; Basic Equations; Finite Element Formulation; Example Problems; Heat Transfer Analyse: Introduction; Heat Balance Equation; Finite Element Formulation; Two-dimensional Axisymmetric Case; Example Problems; Metal Working Analyse: Introduction; FEM Formulation en Metal Forming; Rigid-Plastic Finite Element Formulation; Friction Modeling; Thermal Formulation; Combined Mechanical et Thermal Analyse; Example Problems; Bibliography; Appendices: Some Mathématique Theorems; Basic Equations de Structural Mechanics; Constitutive Relations pour Composites; Variational Principle; Numerical Integration; SB-FEM Elements; SB-FEM Commands; Some SB-FEM Input Files; Subject Index