Chapter 9: Energy Dissipation in Vibrating Composite Bars
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Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Introduction; Chapter 1: Main Methods of Approach to Describing the Phenomenon of Internal Friction in Solids; 1.1 Simplest Models of Internal Friction; 1.2 Theory of Linear Hereditary Elasticity (Viscoelasticity); 1.3 Theory of Microplastic Deformation; 1.4 C.M. Zener's Thermodynamic Theory of Vibration Damping; 1.5 Theory of Elastic Hysteresis; 1.6 Energy Method for Consideration of the Internal Friction; Chapter 2: Methods for Experimental Investigation of Energy Dissipation Response
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2.1 Direct Methods for Determining Energy Losses2.2 Indirect Methods for Determining Energy Losses; 2.3 Consideration of the Aerodynamic Component of Energy Dissipation; Chapter 3: General Information on Energy Dissipation in Composites; 3.1 Dissipative Behavior of Unidirectional Composites; 3.2 Dissipative Properties of Multilayered Fibrous Composites; 3.3 Effect of Load Conditions on Composite Dissipative Response; Chapter 4: Elasto-Dissipative Characteristics (EDC) of Anisotropic Bodies; 4.1 Elastic Characterization of Anisotropic Bodies
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4.2 Energy Losses under Cyclic Loading of an Anisotropic Body4.3 Complex Moduli of Anisotropic Bodies; 4.4 EDC Tensors for the Materials with Different Types of Symmetry; 4.5 System of Engineering Constants; 4.6 Plane Stress State; 4.7 Coordinate Transformation; 4.8 Some Additional Comments; Chapter 5: Dissipative Response of Unidirectional Fiber Reinforced Composites: Structural Method of Approach; 5.1 Composites of Transversely Isotropic Fibers and Isotropic Matrix: Three-Dimensional Stress State; 5.2 Plane Stress State for a Composite of Transversely Isotropic Fibers and Isotropic Matrix
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5.3 Composite of Isotropic Fibers in Isotropic Matrix: Three-Dimensional Stress State5.4 Plane Stress State for a Composite of Isotropic Fibers and Isotropic Matrix; Chapter 6: Effective Viscoelastic Characteristics of Fiber Reinforced Composites; 6.1 Complex Compliances of the Viscoelastic Body; 6.2 Effective Complex Characteristics of the Unidirectional Composite in Terms of Fiber and Matrix Characteristic; 6.3 Comparison of Composite Dissipative Characteristics Derived by the Method of Complex Moduli and the Energy Method
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Chapter 7: Extreme Properties of the Dissipative Behavior of a Transversely Isotropic Monolayer (Unidirectional Composite)7.1 Surface of Dissipation; 7.2 A Chart of Level Lines of the Dissipation Surface. Extreme Properties of Relative Energy Dissipation; 7.3 Trajectories of Stress State Variation; Chapter 8: Dissipative Properties of Multilayered Composites; 8.1 Elastic Characteristics of Multilayered Composites; 8.2 Dissipative Behavior of Multilayered Composites under a Plane Stress State; 8.3 Energy Dissipation of Multilayered Composites under Bending
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SUMMARY OR ABSTRACT
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All real materials in one way or another, exhibit a departure from ideal elastic behaviour, even at very small strain values. Under cyclic deformation, these departtures result in irreversible energy losses in material. The causes of such losses are many, and include the irreversibletransfer of mechanical energy into heat, growth of cracks and other defects, and the microplastic deformaton of crystals to name a few. Several terms have been suggested to define these phenomena including damping, energy dissipation, imperfect elasticity and internal friction. This book is about materials damping; with damping or energy dissipation processes in vibrating solids.