Front Cover -- Analysis of Composite Laminates -- Copyright -- Dedication -- Contents -- Biography -- Preface -- Acronyms -- 1 Composite analysis overview -- 1.1 Introduction -- 1.1.1 History of composites -- 1.1.2 Applications of composites in aircrafts -- 1.2 Composite laminates -- 1.2.1 Definition and constituents -- 1.2.2 Plies -- 1.2.3 Laminates -- 1.3 Analysis schemes -- 1.3.1 Basic analysis schemes -- 1.3.2 Basic equations -- 1.3.3 Existing analysis theories -- 1.3.4 Challenges -- 1.3.5 Future developments -- 1.4 General Hooke's law -- 1.4.1 Hyperelastic materials -- 1.4.2 Monoclinic materials -- 1.4.3 Orthotropic materials -- 1.4.4 Isotropic materials -- 1.4.5 Plane stress-reduced constitutive relations -- 1.4.6 Transformation of material coefficients -- 1.5 Energy principles -- 1.5.1 Virtual displacement principle -- 1.5.2 Hamilton's principle -- 1.5.3 Mixed variational principles -- References -- 2 Shear deformation theories -- 2.1 Introduction -- 2.2 Classical laminated plate theory -- 2.2.1 Displacement fields -- 2.2.2 Kinematic equation -- 2.2.3 Constitutive equations -- 2.2.4 Governing equations -- 2.3 First-order shear deformation theory -- 2.3.1 Displacement fields -- 2.3.2 Kinematic equation -- 2.3.3 Shear correction factors -- 2.3.4 Constitutive equations -- 2.3.5 Governing equations -- 2.4 High-order shear deformation theories -- 2.4.1 Second-order shear deformation theory -- 2.4.2 Third-order shear deformation theory -- 2.4.3 Higher-order shear deformation theories -- 2.5 Finite element formulations -- 2.5.1 CLPT -- 2.5.2 FSDT -- 2.5.3 TSDT -- 2.5.4 Numerical examples -- References -- 3 State space theory -- 3.1 Introduction -- 3.2 Hamiltonian canonical equation of laminated plates -- 3.2.1 Hamiltonian canonical equation of individual layer -- 3.2.2 Exact solution of simply support single layer plates.

3.2.3 Hamiltonian canonical equation of laminated plates -- 3.3 H-R variational principle of laminated plates -- 3.3.1 H-R variational principle in rectangular coordinate system -- 3.3.2 H-R variational principle in cylindrical coordinate system -- 3.3.3 Numerical examples -- 3.4 Finite element formulation of state space theory -- 3.4.1 Hamiltonian isoparametric element -- 3.4.2 Governing equations -- 3.4.3 Boundary conditions -- 3.4.4 Precise time-integration -- 3.4.5 Free vibration -- 3.4.6 Numerical examples -- 3.5 Meshfree formulation of state space theory -- 3.5.1 Interpolation using radial basis functions -- 3.5.2 Radial basis functions -- 3.5.3 Numerical examples -- Example I: Single layer plates -- Example II: Cross-ply composite laminated square plate -- 3.6 Bonding imperfection in composite laminates -- 3.6.1 Bonding imperfection -- 3.6.2 State space equation of bonding imperfection problems -- 3.6.3 Numerical examples -- Example I: Static problem -- Example II: Free vibration problem -- References -- 4 Layerwise theories -- 4.1 Introduction -- 4.2 Integrate layerwise methods -- 4.2.1 Generalized laminate plate theory -- 4.2.2 Layerwise FEM -- 4.2.3 Other ILWMs -- 4.3 Reddy's layerwise theory -- 4.3.1 Displacement fields -- 4.3.2 Euler equations -- 4.3.3 Constitutive equations -- 4.3.4 Finite formulations -- 4.3.5 Numerical examples -- Examples I: Plates -- Examples II: Cylindrical shells -- 4.4 Discrete layerwise theories -- 4.4.1 Development of DLWM -- 4.4.2 Displacement-based DLWM -- 4.4.3 Carrera's unified formulation -- 4.4.4 Three-field variables DLWM -- 4.4.5 Multiparticle model of multilayered materials -- References -- 5 Extended layerwise method -- 5.1 Introduction -- 5.2 Extended layerwise method of laminated plates -- 5.2.1 Displacements fields -- 5.2.2 Description of transverse crack.

5.2.3 Hamilton's principle and Euler-Lagrange equations -- 5.2.4 Constitutive equations -- 5.2.5 Finite element formulations -- 5.2.6 Time integrations -- 5.2.7 Numerical examples -- Example I: Static problems -- Example II: Free vibration analysis -- Example III: Transient analysis -- 5.3 Extended layerwise method of doubly-curved laminated shells -- 5.3.1 Geometric equations of laminated shells -- 5.3.2 Hamilton's principle and Euler-Lagrange equations -- 5.3.3 Constitutive equations -- 5.3.4 Governing equations -- 5.3.5 Full extended layerwise method -- 5.3.6 Numerical examples -- Example I: Isotropic and orthotropic shells without damage -- Example II: Cylindrical shells with delaminations and/or transverse crack -- Example III: Spherical shells with delaminations and/or transverse crack -- Example IV: Full-XLWM -- 5.4 Fracture analysis of composite laminates -- 5.4.1 Equivalent domain integral method -- 5.4.2 Interaction integral method of isotropic materials -- 5.4.3 Interaction integral method of orthotropic materials -- 5.4.4 Interaction integral method of dynamic problems -- 5.4.5 Local remeshing scheme -- 5.4.6 Maximum circumferential tensile stress criterion -- 5.4.7 VCCT based on XLWM -- 5.4.8 Determination of delamination front -- 5.4.9 Numerical examples -- Example I: Rectangular plates with a edge transverse crack -- Example II: Cylindrical shell with transverse cracks -- Example III: Edge cracked plate under mechanical shock -- Example IV: Arbitrary growth of transverse crack -- Example V: Delamination growth of laminates with transverse crack -- 5.5 Fast uniform-grid delamination scheme -- 5.5.1 The fast uniform-grid delamination scheme -- 5.5.2 Delamination region identification -- 5.5.3 Numerical examples -- Example I: Rectangular delamination region -- Example II: Circular delamination region.

Example III: Doubly circular delamination region -- 5.6 Microfracture analysis of composite laminates -- 5.6.1 Force-bearing mechanisms of fibers -- 5.6.2 Modeling scheme -- 5.6.3 Fibers modeling -- 5.6.4 Governing equations -- 5.6.5 Numerical examples -- Example I: Unidirectional laminates without damage -- Example II: Unidirectional laminates with matrix crack -- Example III: Unidirectional laminates with fiber breakage or transverse crack -- References -- 6 Multiphysical analysis -- 6.1 Introduction -- 6.2 Thermomechanical analysis -- 6.2.1 Variational principles considering temperature effect -- 6.2.2 Displacement fields -- 6.2.3 Euler equations -- 6.2.4 Constitutive equations -- 6.2.5 Finite element formulations -- 6.2.6 Time integrations -- 6.2.7 Evaluation of SIF for thermomechanical dynamic problems -- 6.2.8 Numerical examples -- Example I: Steady-state thermomechanical problems -- Example II: Laminates with delamination and transverse crack -- 6.3 Piezoelectric analysis -- 6.3.1 Displacement and potential fields -- 6.3.2 Electromechanical variational principle -- 6.3.3 Constitutive equations -- 6.3.4 Finite element formulation -- 6.3.5 Coupling modeling of laminated plates with piezoelectric patch -- 6.3.6 Thermo-electromechanical dynamic analysis -- 6.3.7 Numerical examples -- Example I: Piezoelectric plates with delaminations and transverse cracks -- Example II: Laminates with piezoelectric patch -- Example III: Thermo-electromechanical dynamic analysis of piezoelectric laminates -- 6.4 Chemo-thermomechanical analysis -- 6.4.1 Chemo-thermomechanical fields -- 6.4.2 Hamilton principle and Euler equations -- 6.4.3 Constitutive equations -- 6.4.4 Finite element formulations -- 6.4.5 Times integration -- 6.4.6 Chemomechanical analysis -- 6.4.7 Numerical examples -- Example I: Dynamic chemomechanical problems.

Example II: Multilayered TBC plate without damage -- Example III: TBC plate with multiple interface cracks and transverse crack -- References -- 7 Analysis of complex composites -- 7.1 Introduction -- 7.2 Layerwise/solid-element method of composite stiffened shells -- 7.2.1 Modeling scheme -- 7.2.2 Finite element formulations of the stiffener -- 7.2.3 LW/SE method -- 7.2.4 Numerical examples -- Example I: Semimonocoque construction -- Example II: XLW/SE -- 7.3 Dynamic thermomechanical analysis of stiffened plates -- 7.3.1 Dynamic thermomechanical three-dimensional elements -- 7.3.2 Dynamic thermomechanical XLW/SE -- 7.3.3 Numerical examples -- Example I: Stiffened plates with transverse crack or/and delamination -- Example II: Composite stiffened plates with various damage -- 7.4 Analysis methods of sandwich structures -- 7.4.1 DLWM for the sandwich plates -- 7.4.2 Layerwise/solid-element of composite sandwich plates -- 7.4.3 LW/SE of sandwich plates with multilayer cores -- 7.4.4 Modeling of the sandwich structures -- 7.4.5 Numerical examples -- Example I: Rectangular sandwich plate -- Example II: XLW/SE of truss sandwich plate -- Example III: XLW/SE of honeycomb sandwich plate -- 7.5 Dynamic thermomechanical analysis of sandwich plates -- 7.5.1 LW/SE method of sandwich plates with single core -- 7.5.2 LW/SE method of sandwich plates with multiply cores -- 7.5.3 Numerical examples -- Example I: Verifications -- Example II: Composite sandwich plates with various damage -- Example III: Composite sandwich plates with double layer honeycomb cores -- 7.6 Dynamic thermo-chemomechanical coupling analysis on aeroengine turbine -- 7.6.1 Three-dimensional thermo-chemomechanical formulations -- 7.6.2 Transformation of coordinate system -- 7.6.3 Modeling of aeroengine turbine with TBCs -- 7.6.4 Numerical examples -- Example I: Verifications.