Mechanics of laminated composite plates and shells : theory and analysis
Mechanics of laminated composite plates and shells : theory and analysis
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发表时间：
1996-11
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通讯作者：
J. Reddy
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作者：
J. Reddy
各向异性弹性方程，虚功原理，和变分方法纤维增强复合材料各向异性熵数学初步方程虚功原理变分方法摘要复合材料概论基本概念和术语应力应变层变换本构方程平面应力本构关系复合材料层合板经典和一阶理论介绍层合板理论综述经典层合板理论一阶层合板理论层合板的刚度选择层合板的一维分析层合板的分析层合梁的分析层合梁的分析用FSDT圆柱弯曲用CLPT圆柱弯曲用FSDT梁的抑制振动结束语特殊正交异性层合板的分析用CLPT介绍简支矩形板的弯曲两相对板的弯曲不同边界条件下矩形板的边简支弯曲简支板在压缩载荷下的屈曲矩形板在面内剪切载荷下的屈曲简支板的振动简支板的双平行边简支板的屈曲和振动瞬态分析基于Navier的位移允许边界条件下的CLPT控制方程的矩形叠合板的闭包解析解反对称横铺层合板的Navier解反对称角铺层合板的Navier解中间对称层合板的Levy解分析瞬态分析总结矩形层合板的FSDT解析解介绍简支反对称横铺层合板简支反对称角铺层合板反对称横铺层合板两边相对简支反对称角铺层合板复合材料板和壳的线性有限元分析介绍经典板理论（CLPT）的有限元模型；剪切变形板理论（FSDT）的有限元模型；复合材料板理论（CLPT）的有限元模型摘要复合材料板壳的非线性分析介绍经典板理论一阶剪切变形板理论时间逼近与牛顿-拉夫逊法板数值实例功能梯度板层合壳有限元模型连续壳有限元复合材料板壳压缩闭合后屈曲响应与递进破坏三阶层合板壳理论三阶板理论高阶层合板刚度特性交叉层合板的Navier解Levy解板的有限元模型三阶双弯壳理论的运动方程分层理论和变运动学模型介绍理论的发展有限元模型变运动学公式在自适应结构中的应用分层圆柱壳闭合理论学科指标
Equations of Anisotropic Elasticity, Virtual Work Principles, and Variational Methods Fiber-Reinforced Composite Materials Mathematical Preliminaries Equations of Anisotropic Entropy Virtual Work Principles Variational Methods Summary Introduction to Composite Materials Basic Concepts and Terminology Constitutive Equations of a Lamina Transformation of Stresses and Strains Plan Stress Constitutive Relations Classical and First-Order Theories of Laminated Composite Plates Introduction An Overview of Laminated Plate Theories The Classical Laminated Plate Theory The First-Order Laminated Plate Theory Laminate Stiffnesses for Selected Laminates One-Dimensional Analysis of Laminated Composite Plates Introduction Analysis of Laminated Beams Using CLPT Analysis of Laminated Beams Using FSDT Cylindrical Bending Using CLPT Cylindrical Bending Using FSDT Vibration Suppression in Beams Closing Remarks Analysis of Specially Orthotropic Laminates Using CLPT Introduction Bending of Simply Supported Rectangular Plates Bending of Plates with Two Opposite Edges Simply Supported Bending of Rectangular Plates with Various Boundary Conditions Buckling of Simply Supported Plates Under Compressive Loads Buckling of Rectangular Plates Under In-Plane Shear Load Vibration of Simply Supported Plates Buckling and Vibration of Plates with Two Parallel Edges Simply Supported Transient Analysis Closure Analytical Solutions of Rectangular Laminated Plates Using CLPT Governing Equations in Terms of Displacements Admissible Boundary Conditions for the Navier Solutions Navier Solutions of Antisymmetric Cross-Ply Laminates Navier Solutions of Antisymmetric Angle-Ply Laminates The Levy Solutions Analysis of Midplane Symmetric Laminates Transient Analysis Summary Analytical Solutions of Rectangular Laminated Plates Using FSDT Introduction Simply Supported Antisymmetric Cross-Ply Laminated Plates Simply Supported Antisymmetric Angle-Ply Laminated Plates Antisymmetric Cross-Ply Laminates with Two Opposite Edges Simply Supported Antisymmetric Angle-Ply Laminates with Two Opposite Edges Simply Supported Transient Solutions Vibration Control of Laminated Plates Summary Theory and Analysis of Laminated Shells Introduction Governing Equations Theory of Doubly-Curved Shell Vibration and Buckling of Cross-Ply Laminated Circular Cylindrical Shells Linear Finite Element Analysis of Composite Plates and Shells Introduction Finite Element Models of the Classical Plate Theory (CLPT) Finite Element Models of Shear Deformation Plate Theory (FSDT) Finite Element Analysis of Shells Summary Nonlinear Analysis of Composite Plates and Shells Introduction Classical Plate Theory First-Order Shear Deformation Plate Theory Time Approximation and the Newton-Raphson Method Numerical Examples of Plates Functionally Graded Plates Finite Element Models of Laminated Shell Theory Continuum Shell Finite Element Postbuckling Response and Progressive Failure of Composite Panels in Compression Closure Third-Order Theory of Laminated Composite Plates and Shells Introduction A Third-Order Plate Theory Higher-Order Laminate Stiffness Characteristics The Navier Solutions Levy Solutions of Cross-Ply Laminates Finite Element Model of Plates Equations of Motion of the Third-Order Theory of Doubly-Curved Shells Layerwise Theory and Variable Kinematic Model Introduction Development of the Theory Finite Element Model Variable Kinematic Formulations Application to Adaptive Structures Layerwise Theory of Cylindrical Shell Closure Subject Index