Continuum mechanics /
Clasificación: | Libro Electrónico |
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Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Nova Science Publishers, Inc.,
[2010]
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""CONTINUUM MECHANICS ""; ""CONTINUUM MECHANICS ""; ""CONTENTS""; ""PREFACE ""; ""MANIFOLDS ON CONTINUUM MECHANICS""; ""ABSTRACT ""; ""1. INTRODUCTION TO DIFFERENTIAL GEOMETRY ""; ""1.1 Manifolds and Tensors on Manifolds ""; ""1.2 Rotation Manifold""; ""1.2.1 Lie Group and Lie Algebra ""; ""1.2.2 Compound Rotation ""; ""1.2.3 Isomorphisms and Tangential Transformations ""; ""1.2.4 Angular Velocities, Accelerations and Curvatures""; ""1.3 Constraint Point-Manifolds ""; ""1.4 Constraint Field-Manifolds ""; ""1.5 Variation, Lie Derivative and Lie Variation ""; ""2. VIRTUAL WORK FORMS ""
- ""2.1 Weak Balance Equations for Continuum """"2.2 Constitutive Relations ""; ""2.3 On Symmetry of Second Variation""; ""3. PARAMETRIZATION OF CONSTRAINT MANIFOLD""; ""4. CONCLUSIONS ""; ""REFERENCES ""; ""ANALYSIS OF SHELL STRUCTURES APPLYING TRIANGULAR FINITE ELEMENTS ""; ""ABSTRACT ""; ""1. INTRODUCTION ""; ""2. DISPLACEMENT FORMULATION-BASED FLAT TRIANGULAR SHELL ELEMENTS ""; ""3. DISPLACEMENT FORMULATION-BASED CURVED TRIANGULAR SHELL ELEMENTS ""; ""4. SHELL ELEMENTS BASED ON DISCRETE KIRCHHOFF THEORY ""; ""5. MIXED/HYBRID AND ASSUMED NATURAL STRAIN FORMULATION-BASED ELEMENTS""
- ""5.1. First Phase Developments """"5.2. Second Phase Developments ""; ""5.2.1. Elements with Non-Optimal Properties ""; ""5.2.2. Elements with Optimal Properties ""; ""5.2.3. Mixed Formulation and Derivation of Optimal Shell Elements ""; ""5.2.3.1. Hellinger-Reissner Variational Principle ""; ""5.2.3.2. Discretized Functional and Equilibrium Equation ""; ""5.2.3.3 Element Geometry ""; ""5.2.3.4 Displacement and Strain Interpolations""; ""5.2.3.5. Hybrid Strain Based Element Stiffness Matrices ""; ""5.2.3.6. Element Stiffness Matrices Incoporating Ddof ""
- ""5.2.4. Representative Computed Results """"5.2.4.1 Spherical Ring Loaded with its Own Weight ""; ""5.2.4.2 Pinched Cylinder ""; ""5.2.4.3 Hemispherical Shell""; ""6. SPLINE FUNCTION-BASED FLAT TRIANGULAR SHELL ELEMENTS ""; ""7. CONCLUDING REMARKS ""; ""APPENDIX A. DISPLACEMENT AND ROTATION FIELDS ""; ""REFERENCES ""; ""TRANSPORT CONTROL OF FLUID AND SOLUTES IN MICROCHANNELS USING AC FIELD AND SEMICONDUCTOR DIODES ""; ""ABSTRACT""; ""INTRODUCTION ""; ""GOVERNING EQUATIONS FOR FLUID AND ANALYTE FLOW IN MICROCHANNELS ""
- ""SEMICONDUCTOR DIODE PUMPS AND MIXERS POWERED BY ALTERNATE CURRENT ELECTRIC FIELD """"CONCLUSIONS ""; ""REFERENCES""; ""CONTINUUM DESCRIPTION OF FLOW-LIKE LANDSLIDE DYNAMICS ""; ""ABSTRACT ""; ""INTRODUCTION ""; ""CHARACTERISTICS OF FLOW-LIKE LANDSLIDES ""; ""OBJECTIVES FOR CONTINUUM MODEL DEVELOPMENT ""; ""CONTINUUM MECHANICS FORMULATION ""; ""BOUNDARY CONDITIONS ""; ""DEPTH INTEGRATION""; ""FURTHER APPROXIMATIONS""; ""DISCRETIZATION ""; ""RASH3D DESCRIPTION ""; ""NUMERICAL IMPLEMENTATION ""; ""Finite Volume Method ""; ""Kinetic Scheme ""; ""Source Term: Bottom Slope ""