| Description |
1 online resource (183 p.) |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- Acknowledgments -- Introduction -- Notations -- CHAPTER 1: Cosserat Elasticity -- 1.1. SCOPE OF THE CHAPTER -- 1.2. COSSERAT ELASTICITY -- 1.3. LINEAR THEORY OF COSSERAT ELASTICITY -- 1.3.1. Cosserat Space -- 1.3.2. Cosserat Body Deformation -- 1.3.3. Infinitesimal Cosserat Deformation and Motion -- 1.3.4. Conservation of Mass and Microinertia -- 1.3.5. Conservation of Linear and Angular Momentum -- 1.3.6. Law of Conservation of Energy -- 1.3.7. Cosserat Elastic Energy |
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1.4. VARIATIONAL PRINCIPLE FOR COSSERAT ELASTOSTATICS -- 1.5. PRINCIPLE OF MINIMUM POTENTIAL ENERGY -- 1.6. VARIATIONAL PRINCIPLE FOR COSSERAT ELASTODYNAMICS -- CHAPTER 2: Analysis of Cosserat Sample Bodies -- 2.1. SCOPE OF THE CHAPTER -- 2.2. COSSERAT SAMPLE BODIES -- 2.3. STATICS OF COSSERAT SAMPLE BODIES -- 2.4. DYNAMICS OF COSSERAT SAMPLE BODIES -- 2.5. PLATE GEOMETRY RESTRICTION FOR COSSERAT BODIES -- CHAPTER 3: Cosserat Plate Statics -- 3.1. SCOPE OF THE CHAPTER -- 3.2. PLATE ASSUMPTIONS -- 3.2.1. Boundary Conditions -- 3.2.2. Stress Approximations -- 3.2.3. Couple Stress Approximations |
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3.2.4. Kinematic Approximations -- 3.3 COSSERAT PLATE STATIC EQUILIBRIUM EQUATIONS -- 3.4. STRESS ENERGY OF THE COSSERAT PLATE -- 3.5. STRAIN-DISPLACEMENT AND TORSION-MICROROTATION RELATIONS -- 3.6. CONSTITUTIVE FORMULAS FOR COSSERAT PLATE -- 3.7. VARIATIONAL FORMULATION OF COSSERAT PLATE BENDING -- 3.8. OPTIMAL VALUE OF THE SPLITTING PARAMETER -- 3.9. STATICS FIELD EQUATIONS -- CHAPTER 4: Cosserat Plate Dynamics -- 4.1. SCOPE OF THE CHAPTER -- 4.2. PLATE ASSUMPTIONS -- 4.2.1. Boundary and Initial Conditions -- 4.2.2. Stresses and Kinematic Approximations -- 4.3. DYNAMIC FIELD EQUATIONS |
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CHAPTER 5: Validation of the Cosserat Plate Theory -- 5.1. SCOPE OF THE CHAPTER -- 5.2. COSSERAT SAMPLE PLATE -- 5.3. VALIDATION OF THE COSSERAT PLATE STATICS -- 5.4. VALIDATION OF THE COSSERAT PLATE DYNAMICS -- CHAPTER 6: Finite Element Method for Cosserat Plates -- 6.1. SCOPE OF THE CHAPTER -- 6.2. CLAMPED COSSERAT PLATE BENDING PROBLEM -- 6.3. FINITE ELEMENT ALGORITHM FOR COSSERAT ELASTIC PLATES -- 6.4. SOLUTIONS SPACE FOR THE CLAMPED COSSERAT PLATE -- 6.5. WEAK FORMULATION OF THE COSSERAT PLATE BENDING PROBLEM -- 6.6. CONSTRUCTION OF THE FINITE ELEMENT SPACES |
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6.7. CALCULATION OF THE STIFFNESS MATRIX AND THE LOAD VECTOR -- 6.8. NUMERICAL RESULTS -- CHAPTER 7: Validation of the Finite Element Computation -- 7.1. SCOPE OF THE CHAPTER -- 7.2. SAMPLE COSSERAT PLATE -- 7.3. VALIDATION OF THE FEM FOR DIRICHLET BOUNDARY CONDITIONS -- 7.4. VALIDATION OF THE FEM FOR MIXED DIRICHLET-NEUMANN BOUNDARY CONDITIONS -- 7.5. VALIDATION OF THE FEM FOR SIMPLY SUPPORTED COSSERAT PLATE -- CHAPTER 8: Unique Properties of Cosserat Plates -- 8.1. SCOPE OF THE CHAPTER -- 8.2. COSSERAT SAMPLE PLATE -- 8.3. COSSERAT PLATE STATICS -- 8.3.1. Plate Stiffness |
| Notes |
Description based upon print version of record |
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8.3.2. Stress Concentration |
| Subject |
Elastic plates and shells.
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Finite element method.
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Micropolar elasticity.
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Elastic plates and shells
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Finite element method
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Micropolar elasticity
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| Form |
Electronic book
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| Author |
Kvasov, Roman
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| ISBN |
9781000608106 |
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1000608107 |
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