Introduction to finite element method
| Otros Autores: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Madrid :
UNED - Universidad Nacional de Educación a Distancia
[2014]
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009438922706719 |
Tabla de Contenidos:
- INTRODUCTION TO FINITE ELEMENT METHOD; LEGAL; CONTENTS; PROLOGUE; CHAPTER 1; INTRODUCTION; POSING THE PROBLEM; THE DIRECT STIFFNESS (OR DISPLACEMENT) METHOD; MATRIX FORMULATION; CONCLUSIONS; APPLICATION EXAMPLES; CHAPTER 2; INTRODUCTION; THE STATE OR FIELD EQUATION. DIFFERENTIAL OR STRONG FORMULATION; DIRECT FORMULATION; THE PRINCIPLE OF VIRTUAL WORK; ENERGY FORMULATION; EQUIVALENCE OF INTEGRAL AND DIFFERENTIAL FORMULATIONS; APPROXIMATION; GALERKIN'S METHOD; THE CONCEPT OF AN ELEMENT. SHAPE FUNCTIONS; STRUCTURE STIFFNESS MATRIX AND LOAD VECTOR. CALCULATION OF DISPLACEMENTS; TIMOSHENKO'S BEAM
- CHAPTER 3INTRODUCTION; COORDINATE SYSTEMS; TRANSFORMATION OF COORDINATES. AXES ROTATION; ASSEMBLING THE SYSTEM OF EQUATIONS; THE BOUNDARY CONDITIONS; CALCULATION OF DISPLACEMENTS; CALCULATING REACTIONS AND INTERNAL FORCES; EXAMPLES; CHAPTER 4; INTRODUCTION; DIFFERENTIAL APPROACH TO THE BOUNDARY VALUE PROBLEM; INTEGRAL APPROACH TO THE BOUNDARY VALUE PROBLEM; APPROXIMATION; THE FINITE ELEMENT METHOD; GLOBAL FEATURES. APPLICATION OF ESSENTIAL BOUNDARY CONDITIONS; APPLICATION OF FEM IN SOLVING LINEAR ELASTIC PROBLEMS; STEADY-STATE FIELD PROBLEMS; CONVERGENCE; CHAPTER 5; INTRODUCTION
- NORMALIZED COORDINATESFAMILIES OF SHAPE FUNCTIONS OF C0 CONTINUITY; TRANSFORMATIONS; CHAPTER 6; INTRODUCTION. STARTING HYPOTHESIS; DIFFERENTIAL APPROACH. FIELD EQUATIONS. DEFINITION OF STRESS; INTEGRAL APPROACH. PRINCIPLE OF VIRTUAL WORK; FINITE ELEMENT DISCRETIZATION; REQUIREMENT FOR CONTINUITY C1; NONCONFORMING PLATE ELEMENT; CONFORMING PLATE ELEMENT; CONCLUSIONS; CHAPTER 7; INTRODUCTION.; DIFFERENTIAL APPROACH. STRESS DEFINITION; INTEGRAL APPROACH; FINITE ELEMENT DISCRETIZATION; SHEAR LOCKING SOLUTION; TRIANGULAR ELEMENTS; APPENDIX A; APPENDIX B; APPENDIX C; APPENDIX D; APPENDIX E
- APPENDIX FBIBLIOGRAPHY
