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2023
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In this dissertation, efficient and accurate models based on enhanced theories (enhanced first-order theories, enhanced higher-order theories and enhanced zig-zag theory) are proposed for the thermo-mechanical analysis of laminated composite and sandwich plates. In addition, co-rotational formulation with enhanced first-order theory is developed to investigate the geometrically nonlinear behaviors. In enhanced models, a couple of displacement fields are independently assumed to provide a reasonable compromise between solution accuracy and efficiency. The main objective of this dissertation is to systematically establish the relationships between two independent fields through the mixed variational theorem (MVT) as well as the strain energy transformation. According to the relationships, enhanced models have the same computational advantage of the simple models (conventional FSDT, HSDT, LCW, etc.) while improving upon its performance by utilizing the post-process procedure. Additionally, the convolution theorem of Laplace transformation is applied to circumvent the complexity of dealing with linear viscoelastic materials.
The enhanced theories proposed in this dissertation have the following advantages.
? Transverse shear stress continuity conditions at the interfaces between layers are satisfied.
? Transverse shear free conditions at the top and bottom surfaces of the composite and sandwich plates are satisfied.
? The number of primary variables is independent of the number of layers.
? C0 interpolation function is only required in the finite element implementation, so computational efficiency can be further improved.
The robustness, accuracy and computational efficiency of the enhanced models are demonstrated by comparing numerical results obtained herein to those of the 3-D exact solution, 3-D FEM solution as well as other theories available in the open literature.
The enhanced theories proposed in this dissertation have the following advantages.
? Transverse shear stress continuity conditions at the interfaces between layers are satisfied.
? Transverse shear free conditions at the top and bottom surfaces of the composite and sandwich plates are satisfied.
? The number of primary variables is independent of the number of layers.
? C0 interpolation function is only required in the finite element implementation, so computational efficiency can be further improved.
The robustness, accuracy and computational efficiency of the enhanced models are demonstrated by comparing numerical results obtained herein to those of the 3-D exact solution, 3-D FEM solution as well as other theories available in the open literature.
목차
Chapter 1. Introduction 11.1. Motivations & Objective 11.2. Basic Concept of the Strain Energy Matching Scheme 61.3. Thesis outline 9Chapter 2. Enhanced First-order Shear Deformation Theory 122.1. Enhanced First-order Shear Deformation Theory including Transverse Normal Effect via the MVT 122.1.1. Literature Review 122.1.2. Mixed Formulation 142.1.3. Enhanced First-order Shear Deformation Theory including Transverse Normal Effect via the MVT 232.1.4. Numerical examples and discussion 302.2. Enhanced First-order Shear Deformation Theory in Laplace domain 512.2.1. Literature Review 512.2.2. Constitutive equation for linear viscoelastic materials 542.2.3. Enhanced first-order shear deformation theory for the linear viscoelastic model 552.2.4. Numerical examples and discussion 66Chapter 3. Enhanced Higher-order Shear Deformation Theory 853.1. Enhanced Higher-order Shear Deformation Theory based on the MVT 853.1.1. Literature Review 853.1.2. Mixed Formulation 883.1.3. Enhanced higher-order shear deformation theory based on the MVT 933.1.4. Numerical examples and discussion 983.2. Enhanced Lo-Christensen-Wu Theory via the MVT 1213.2.1. Literature Review 1213.2.2. Mixed formulation 1243.2.3. Enhanced Lo-Christensen-Wu Theory via the MVT 1303.2.4. Numerical investigation and discussion 134Chapter 4. Enhanced Zig-zag Shear Deformation Theory 1634.1. Enhanced C0-type Efficient Higher-order Zig-zag Theory based on the MVT 1634.1.1. Literature Review 1634.1.2. Mixed Formulation 1654.1.3. Enhanced C0-type efficient higher-order zig-zag theory based on the MVT 1734.1.4. Numerical examples and discussion 176Chapter 5. Geometrically Nonlinear Analysis Based on Enhanced FSDT 1955.1. Co-rotational Geometrically Nonlinear Formulation based on EFSDT 1955.1.1. Literature Review 1955.1.2. Co-rotational Formulation 1985.1.3. Enhanced first-order shear deformation theory 2065.1.4. Numerical results and discussion 213Chapter 6. Concluding remarks 234Bibliography 239Appendix 250국문 요약 275
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