Chapter 1: Anisotropic Elasticity
1.1 Theory of Elasticity
1.2 Linear Anisotropic Elastic Materials
1.2.1 Three-Dimensional Constitutive Relations
1.2.2 Two-Dimensional Constitutive Relations
1.2.3 Laminate Constitutive Relations
1.3 Thermoelastic Problems
1.4 Piezoelectric Materials
Chapter 2: Complex Variable Formalism
2.1 Two-Dimensional Analysis
2.1.1 Lekhnitskii Formalism
2.1.2 Stroh Formalism 2.1.3 Extended Stroh Formalism for Thermoelastic Problems
2.1.4 Expanded Stroh Formalism for Piezoelectric Materials
2.2 Plate Bending Analysis
2.2.1 Lekhnitskii Bending Formalism 2.2.2 Stroh-Like Bending Formalism
2.3 Coupled Stretching-Bending Analysis
2.3.1 Stroh-Like Formalism
2.3.2 Extended Stroh-Like Formalism for Thermal Stresses in Laminates
2.3.3 Expanded Stroh-Like Formalism for Electro-Elastic Laminates
2.4 Explicit Expressions
2.4.1 Fundamental Matrix N 2.4.2 Material Eigenvector Matrices A and B
2.4.3 Barnett-Lothe Tensors S, H and L
2.5 General Remarks
2.5.1 Degeneracy of Material Eigenvectors
2.5.2 Units, Scaling Factors, and Dimensions
2.5.3 Sign Convention 2.5.4 Common Symbols
2.5.5 Extended Symbols
Chapter 3: Computer Program with Matlab 3.1 Program Structures
3.1.1 Computational Procedure
3.1.2 Control Parameters
3.1.3 Global Variables
3.1.4 Input
3.1.5 Output
3.2 Main Program and Functions
3.2.1 Main program
3.2.2 Function Description
3.3 Input and Calculation of Material Properties
3.3.1 Function - elastic
3.3.2 Function - thermal
3.3.3 Function - piezoM
3.4 Calculation of Material Eigenvalues and Eigenvectors
3.4.1 Function - material_eigen
3.4.2 Function - thermal_eigen
3.5 Calculation of Analytical Solutions
3.5.1 Function - internal, positionTime
3.5.2 Function - uphi_bank
3.6 Functions for Double Check
3.6.1 Function - piezo2, piezoM2
3.6.2 Function - fundamental_N
3.6.3 Function - eigen_muAB
3.6.4 Function - identities
3.7 Functions for Output
3.7.1 Function - output_caption
3.7.2 Function - printTF
3.7.3 Function - TableFig, TableFig3D
3.8 Examples
3.8.1 Elastic Properties
3.8.2 Thermal Properties
3.8.3 Piezoelastic Properties
Chapter 4: Infinite Space, Half Space and Bi-materials 4.1 Infinite Space
4.1.1 Uniform Load - s411infUL
4.1.2 Inplane Bending - s412infIB
4.1.3 Point Force - s413infPF
4.1.4 Point Moment - s414infPM
4.1.5 Dislocation - s415infDL
4.2 Half Space
4.2.1 Point Force - s421halfPF
4.2.2 Point Force on Surface - s422halfPFs
4.2.3 Distributed Load - s423halfDT
4.2.4 Point Moment - s424halfPM
4.2.5 Dislocation - s425halfDL
4.3 Bi-materials
4.3.1 Point Force and Dislocation
