What is included with this book?
Preface | p. vii |
Vibrations and Stability of Thin Structures | p. 1 |
Eliza Haseganu's Analysis of Wrinkling in Pressurized Membranes | p. 3 |
Introduction | p. 3 |
Relaxed Membrane Theory | p. 5 |
Numerical Scheme | p. 7 |
Examples | p. 12 |
References | p. 16 |
Buckling, Vibrations and Optimal Design of Ring-Stiffened Thin Cylindrical Shells | p. 17 |
Introduction | p. 17 |
Equations of Cylindrical Shells | p. 19 |
Approximate Equations | p. 20 |
Ring-stiffened Shell | p. 22 |
First Approximation | p. 23 |
Shell Stiffened with a Ring | p. 25 |
Optimal Rings Arrangement | p. 28 |
Homogenization | p. 31 |
Irregular Arrangement | p. 35 |
Effective Stiffness | p. 37 |
Optimal Design of Vibrting Stiffened Shells | p. 39 |
Optimal Design of Buckling Shells | p. 43 |
Conclusion | p. 46 |
References | p. 46 |
Asymptotic Analysis of Thin Shell Bukling | p. 49 |
Introduction | p. 49 |
Bifurcation Equations | p. 50 |
Orthotropic Ellipsoid Under External Pressure | p. 53 |
Orthotropic Elliptical Shell Under Internal Pressure | p. 58 |
Buckling of Cylindrical Shells | p. 59 |
Buckling of Orthotropic Cylindrical Shell Under Hydrostatic Pressure | p. 61 |
Buckling of Axially Compressed Orthotropic Cylindrical Shell | p. 63 |
Buckling of an Orthotropic Cylindrical Shell Under Torsion | p. 65 |
Effect of Anisotropy on the Critical Loading | p. 65 |
References | p. 67 |
Thin-Wall Structures Made of Materials with Variable Elastic Moduli | p. 69 |
Introduction | p. 69 |
Relations Between the Curvature of the Beam Neutral Line and the Bending Moment | p. 71 |
Stiffness of a Beam Made of Variable Modulus Material | p. 74 |
Fiber-reinforced Shell | p. 76 |
Strains and Stresses in a Shell Made of Composite Material | p. 76 |
The Threshold Constant [epsilon subscript 0] | p. 78 |
Elasticity Relations for a Shell Made of a Composite Material | p. 78 |
Cylindrical Shell Under Internal Pressure | p. 80 |
References | p. 83 |
Asymptotic Integration of Free Vibration Equations of Cylindrical Shells by Symbolic Computation | p. 85 |
Introduction | p. 85 |
Problem Formulation | p. 86 |
Formal Asymptotic Solutions of the Equations of Cylindrical Shells | p. 89 |
Axisymmetric Vibrations | p. 90 |
Boundary Value Problem | p. 95 |
Nonaxisymmetric Vibrations | p. 98 |
Symbolic Computation | p. 102 |
References | p. 104 |
Vibrations and Stability in Continuum Mechanics | p. 105 |
The Mechanics of Pre-Stressed and Pre-Polarized Piezoelectric Crystals | p. 107 |
Introduction | p. 107 |
Background | p. 109 |
General Theory of Piezoelectricity with Initial Fields | p. 112 |
Small deformation and electric fields superposed on large static fields | p. 112 |
Special case of homogeneous initial state and non-polarizable environment | p. 117 |
Special Case of Antiplane Deformation | p. 120 |
Stability Considerations | p. 123 |
Static and dynamic local stability | p. 123 |
Local stability against antitplane perturbations | p. 131 |
Transverse Electro-Acoustic Waves | p. 132 |
References | p. 136 |
On the Stability of Transient Viscous Flow in an Annulus | p. 139 |
Introduction | p. 139 |
Mathematical Formulation of the Problem | p. 141 |
Numerical Results | p. 146 |
Conclusion | p. 148 |
References | p. 149 |
Biomechanics | p. 151 |
Mechancial Models of the Development of Glaucoma | p. 153 |
Introduction | p. 153 |
Deformations of LC. Linear Theory | p. 156 |
Axisymmetric deformation of the LC | p. 159 |
Nonaxisymmetric deformation of the LC | p. 162 |
Deformation of the oval LC | p. 168 |
Shear of the Layers | p. 170 |
Buckling of the LC | p. 174 |
Conclusion | p. 177 |
References | p. 178 |
A Micromechanical Model for Predicting Microcracking Induced Material Degradation in Human Cortical Bone Tissue | p. 179 |
Introduction | p. 180 |
Experimental Materials and Methods | p. 181 |
Prediction of Material Property Degradation by a Micromechanical Damage Model | p. 187 |
Experimental Results | p. 190 |
Results of the Micromechanical Damage Model | p. 192 |
Comparison of Experimental Results to the Micromechanical Damage Model | p. 194 |
Discussion | p. 196 |
References | p. 199 |
Experimental and Computational Mechanics of Solids | p. 201 |
An Evolution of Solid Elements for Thermal-Mechanical Finite Element Analysis | p. 203 |
Introduction | p. 203 |
8- to 26-Node Linear Hexahedron | p. 204 |
A Nonconforming 8- to 26-Node Hexahedron | p. 207 |
Nonconforming Elements in Thermal-Mechanical Analysis | p. 210 |
8- to 16-Node Solid Shell | p. 212 |
Solid Shell Elements in Thermal-Mechanical Analysis | p. 220 |
Contributions | p. 224 |
References | p. 225 |
Nomenclature | p. 227 |
Quantization Effects in Shallow Powder Bed Vibrations | p. 229 |
Introduction | p. 229 |
Review and Discussion of Prior Works | p. 232 |
Notation | p. 233 |
Literature survey | p. 235 |
Discussion | p. 239 |
Periodic Response with Soft Landing | p. 242 |
Low Velocity Impact Model | p. 246 |
Quantization Effects | p. 249 |
Digital experiments | p. 249 |
Classical elastic impact model | p. 250 |
Low velocity impact model | p. 251 |
Quantum influence | p. 253 |
Existence and uniqueness of quantized states | p. 254 |
Stability of quantized states | p. 255 |
Conclusion | p. 256 |
References | p. 257 |
About the Authors | p. 259 |
Index | p. 277 |
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