The Behavior of Sandwich Structures of Isotropic and Composite Materials

From a background in sandwich structures to thermoelastic problems of sandwich structures and sandwich shell theory, this book provides the knowledge needed to analyze, design, and optimize various sandwich structures. It covers special failure modes, such as face wrinkling and core shear instability, as well as honeycomb, foam, web, and truss cores. Optimization is explored in two chapters on sandwich plates and sandwich shells. The author presents the optimization techniques in closed form and the methods are applicable to material selection and geometric design. The book also contains a set of problems and references at the end of each chapter.

The Behavior of Sandwich Structures of Isotropic and Composite Materials presents the mathematics, descriptions, and analytical techniques in the growing field of sandwich structures. From a background in sandwich structures to thermoelastic problems of sandwich structures and sandwich shell theory, the book provides the knowledge needed to analyze, design, and optimize various sandwich structures.As one would expect from a book on sandwich structures, this volume discusses special failure modes such as face wrinkling and core shear instability. Coverage includes not only honeycomb cores, but also foam, web, and truss cores. An important topic in composite structure design, optimization is explored in two chapters on sandwich plates and sandwich shells. The author presents the optimization techniques in closed form and the methods are applicable to material selection and geometric design. The book also contains a set of problems and references at the end of each chapter. This text is ideal for engineers-in-training, as well as practical engineers who desire a comprehensive understanding of sandwich structures technology.

SANDWICH STRUCTURES: ORIGINS, ADVANTAGES, AND USES Description of Various Sandwich ConstructionsAdvantages of Sandwich Construction over Construction Monocoque Thin Walled ConstructionOrigins of Sandwich ConstructionUses of Sandwich ConstructionPresent Approach to AnalysisProblemsReferencesANISTROPIC ELASTICITY AND COMPOSITE LAMINATE THEORYIntroductionDerivation of the Anisotropic Elastic Stiffness and Compliance MatricesThe Physical Meaning of the Components of the Orthotropic Elasticity TensorMethods to Obtain Composite Elastic Properties from Fiber and Matrix PropertiesThermal and Hygrothermal ConsiderationsTime-Temperature Effects on Composite MaterialsHigh Strain Rate Effects on Material PropertiesLaminae of Composite MaterialsLaminate Analysis[A], [B], and [D] Stiffness Matrices for a Mid-Plane Symmetric Sandwich StructurePiezoelectric EffectsProblemsReferencesDERIVATION OF THE GOVERNING EQUATIONS FOR SANDWICH PLATES (PANELS)IntroductionPlate Equilibrium EquationsThe Bending of Composite Material Laminated and/or Sandwich Plates: Classical Theory Classical Plate Theory Boundary ConditionsAnalysis of Composite Materials Laminated and/or Sandwich Panels Including Transverse Shear Deformation EffectsBoundary Conditions for a Plate Using the Refined Plate TheoryLaminated or Sandwich Plate on an Elastic FoundationLaminated or Sandwich Plates Subjected to Dynamic LoadsProblems ReferencesBEAMS, COLUMNS, AND RODS OF COMPOSITE MATERIALS Development of Classical Beam TheorySome Simplified Sandwich-Beam SolutionsEigenvalue Problems of Sandwich Beams: Natural Vibrations and Elastic StabilityOther ConsiderationsProblemsReferencesENERGY METHODS FOR SANDWICH STRUCTURESIntroductionTheorem of Minimum Potential EnergyAnalysis of a Beam in Bending Using the Theorem of Minimum Potential EnergyReissner's Variational Theorem and Its ApplicationsStatic Deformation of Moderately Thick BeamsFlexural Vibrations of Moderately Thick BeamsFlexural Natural Frequencies of a Simply Supported Beam Including Transverse Shear Deformation and Rotatory Inertia EffectsMinimum Potential Energy for Rectangular PlatesA Rectangular Composite Material Plate Subjected to Lateral and Hygrothermal LoadsIn-Plane Shear Strength Determination of Composite Materials in Laminated and Sandwich PanelsProblems ReferencesSOLUTIONS FOR RECTANGULAR SANDWICH PLATESIntroductionNavier Solutions for Rectangular Sandwich PlatesLevy Solutions for Plates of Composite MaterialsPerturbation Solutions for the Bending of a Composite Material Sandwich Plate, with Mid-Plane Symmetry and No Bending-Twisting CouplingIsotropic Sandwich Panels Subjected to a Uniform Lateral LoadMinimum Weight Optimization for a Sandwich Panel Subjected to a Distributed Lateral LoadAnalysis of an Isotropic Sandwich Plate on an Elastic Foundation Subjected to a Uniform Lateral LoadStatic Analysis of Sandwich Plates of Composite Materials Including Transverse Shear Deformation EffectsExact SolutionOther ConsiderationsProblems ReferencesDYNAMIC EFFECTS ON SANDWICH PANELSIntroductionNatural Flexural Vibrations of Sandwich Plates: Classical TheoryNatural Flexural Vibrations of Sandwich Plates Including Transverse Shear Deformation EffectsForced-Vibration Response of a Sandwich Plate Subjected to a Dynamic Lateral LoadDynamic Response of Sandwich Plates to Localized LoadsLarge Amplitude Nonlinear Oscillations of Sandwich Plates Simply Supported on All EdgesLinear and Nonlinear Oscillations of Specially Orthotropic Sandwich Panels with Various Boundary ConditionsVibration DampingProblems ReferencesTHERMAL AND MOISTURE EFFECTS ON SANDWICH STRUCTURESGeneral ConsiderationsDerivation of the Governing Equations for a Thermoplastic Isotropic PlateBoundary ConditionsGeneral Treatment of Plate Nonhomogeneous Boundary ConditionsThermoelastic Effects on BeamsSelf-Equilibrium of Thermal StressRectangular Composite Material Plate Subjected to Lateral and Hygrothermal LoadsReferencesELASTIC INSTABILITY (BUCKLING) OF SANDWICH PANELS General ConsiderationsThe Buckling of an Orthotropic Sandwich Plate Subjected to In-Plane Loads Classical TheoryElastic Stability of a Composite Sandwich Panel Including Transverse Shear Deformation and Hygrothermal EffectsThe Buckling of an Isotropic Plate on an Elastic Foundation Subjected to Biaxial In-Plane Compressive LoadsThe Buckling of Honeycomb Core Sandwich Panels Subjected to In-Plane Compressive LoadsThe Buckling of Solid- or Foam-Core Sandwich Panels Subjected to In-Plane Compressive LoadsBuckling of a Truss-Core Sandwich Panel Subjected to Uniaxial CompressionElastic Stability of a Web-Core Sandwich Panel Subjected to a Uniaxial Compressive In-Plane LoadBuckling of Honeycomb-Core Sandwich Panels Subjected to In-Plane Shear LoadsBuckling of Solid-Core or Foam-Sandwich Panel Subjected to In-Plane Shear LoadsBuckling of a Truss-Core Sandwich Panel Subjected to In-Plane Shear LoadsBuckling of a Web-Core Sandwich Panel Subjected to an In-Plane Shear LoadOther ConsiderationsProblems References STRUCTURAL OPTIMIZATION TO OBTAIN MINIMUM-WEIGHT SANDWICH PANELSIntroductionMinimum Weight Optimization of Honeycomb-Core Sandwich Panels Subjected to a Unidirectional Compressive LoadMinimum Weight Optimization of Foam-Core Sandwich Panels Subjected to a Unidirectional Compressive LoadMinimum Weight Optimization of Truss-Core Sandwich Panels Subjected to a Unidirectional Compressive LoadMinimum Weight Optimization of Web-Core Sandwich Panels Subjected to a Unidirectional Compressive LoadMinimum Weight Optimization of Honeycomb-Core Sandwich Panels Subjected to In-Plane Shear LoadsMinimum Weight Optimization of Solid- and Foam-Core Sandwich Panels Subjected to In-Plane Shear LoadsMinimum Weight Optimization of Truss-Core Sandwich Panels Subjected to In-Plane Shear LoadsMinimum Weight Optimization of Web-Core Sandwich Panels Subjected to In-Plane Shear LoadsOptimal Stacking Sequences for Composite Material Laminate Faces for Various Sandwich Panels Subjected to Various LoadsProblemsReferences SANDWICH SHELLSIntroductionAnalysis of Sandwich Cylindrical Shells under Axially Symmetric LoadsA General Solution for Orthotropic-Sandwich Cylindrical Shells under Axially Symmetric LoadsShells with Mid-Plane AsymmetryOther ConsiderationsProblems ReferencesBUCKLING OF SANDWICH CYLINDRICAL SHELLSBuckling of a Solid- or Foam-Core Sandwich Cylindrical Shell with Isotropic Faces Subjected to an Axially Symmetric Compressive End Load Buckling of a Solid- or Foam-Core Sandwich Cylindrical Shell with Orthotropic Composite Faces Subjected to an Axially Symmetric Compressive LoadBuckling of a Honeycomb-Core Sandwich Cylindrical Shell with Composite Faces Subjected to an Axially Symmetric Compressive End LoadOverall Buckling of Sandwich Cylindrical Shells Subjected to an Overall Bending MomentBuckling of a Sandwich Cylindrical Shell Due to External PressureBuckling of a Sandwich Cylindrical Shell Due to TorsionDynamic BucklingProblems ReferencesMINIMUM WEIGHT OPTIMIZATION OF SANDWICH CYLINDRICAL SHELLSGeneral DiscussionMinimum Weight Optimization of a Solid Foam-Core Sandwich Cylindrical Shell with Isotropic Faces Subjected to an Axially Compressive LoadMinimum Weight Optimization of a Solid- or Foam-Core Sandwich Cylindrical Shell with Orthotropic Composite Material Faces Subjected to an Axially Compressive LoadMinimum Weight Optimization of a Honeycomb-Core Sandwich Cylindrical Shell with Composite Material Faces Subjected to an Axially Symmetric Compressive LoadProblemsReferencesAPPENDIX 1: Core MaterialsAPPENDIX 2: Face MaterialsAPPENDIX 3: American Society for Testing Materials (ASTM) Standards for Sandwich Structures and MaterialsINDEX