Intro; Preface; References; Contents; 1 Unidirectional Fiber-Reinforced Rubber; 1.1 Composite Materials Used for Tires; 1.2 Stress/Strain Relationship; 1.3 Mechanics of a Composite; 1.3.1 Plane Stress; 1.3.2 Transformation of Strain Between Two Coordinate Systems; 1.3.3 Constitutive Equation (Hook's Law); 1.3.4 Representation of the Stiffness Matrix Using Invariants; 1.3.5 Properties of a Composite in an Arbitrary Direction; 1.4 Micromechanics; 1.4.1 Parallel and Series Models; 1.4.2 Modified Micromechanics; 1.4.3 Upper and Lower Bounds of the Modulus of Composites; 1.4.4 Halpin-Tsai Model
1.5 Micromechanics of Unidirectionally Cord-Reinforced Rubber (UDCRR)1.5.1 Models for UDCRR; 1.5.2 Comparison of the Micromechanics Model for Fiber-Reinforced Rubber; 1.6 Mechanics of UDCRR Under an FRR Approximation; 1.6.1 Approximate Equations for UDCRR; 1.6.2 Properties of UDCRR in an Arbitrary Direction; 1.6.3 Particular Angle for UDCRR; 1.6.4 Comparison of Micromechanics and Experimental Results; 1.7 Viscoelastic Properties of a UDCRR Plate; 1.7.1 Studies on the Viscoelastic Properties of a UDCRR Plate; 1.7.2 Analytical Damping Model
1.7.3 Finite Element Model for Viscoelastic Properties1.8 Mechanics of Short-Fiber-Reinforced Rubber (SFRR); 1.8.1 Micromechanics of SFRR; 1.8.2 Modulus of SFRR in an Arbitrary Direction; 1.8.3 Viscoelastic Properties of SFRR; Appendix: Viscoelasticity; Notes; References; 2 Lamination Theory; 2.1 CLT; 2.1.1 Coordinate System for Laminates and Representation of the Laminate Configuration; 2.1.2 CLT; 2.2 Properties of a Symmetric Laminate; 2.2.1 Constitutive Equation of a Symmetric Laminate; 2.2.2 In-Plane Stiffness of a Symmetric Laminate; 2.2.3 Bending Properties of a Symmetric Laminate
2.3 Properties of a Bias Laminate2.3.1 Stiffness of a Bias Laminate; 2.3.2 In-Plane and Out-of-Plane Coupling Deformation of a Bias Laminate; 2.3.3 FRR Approximation for a Bias Laminate; 2.3.4 Comparison of CLT and Experimental Results for a Bias Laminate; 2.3.5 Viscoelastic Properties of a Bias Laminate; 2.4 Optimization of the Belt Structure of a Tire; 2.4.1 Computer-Aided Composite Design; 2.4.2 Optimization of the Belt Construction Through Mathematical Programming; 2.4.3 Optimization of the Belt Construction Using a GA; Notes; References; 3 Modified Lamination Theory; 3.1 Introduction
3.2 MLT of a Two-Ply Laminate Without Out-of-Plane Coupling Deformations (Symmetric Four-Ply Laminate)3.2.1 Fundamental Equations; 3.2.2 Analysis of a Bias Laminate Under Uniform Stress and Displacement; 3.2.3 Analysis of FRR; 3.3 MLT of a Two-Ply Laminate Including Transverse Stress Without Out-of-Plane Coupling Deformation (Symmetric Four-Ply Laminate); 3.3.1 Fundamental Equations of the MLT of a Two-Ply Laminate Including Transverse Stress Without Out-of-Plane Coupling Deformation; 3.3.2 Comparison of CLT and MLT and a Parameter Study on the Interlaminar Shear Strain of UDCRR
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This book highlights the mechanics of tire performance, offering detailed explanations of deriving basic equations for the fundamental properties of tires, and discussing ways to improve tire performance using these equations. It also compares the theory with practical measurements. The book commences with composite mechanics, which is the fundamental theory for belt and carcass tires, and covers classical, modified and discrete lamination theory. It then addresses the theory of tire shape and spring properties and the mechanics of tread pattern contact properties, as was well as the performance of various tires. This comprehensive book is a valuable resource for engineers involved in tire design and offers unique insights and examples of improvement of tire performances.