A Numerical Approach to the Simplified Laminate Theory of Composite Materials: The Composite Laminate Analysis Tool―CLAT 1D (Advanced Structured Materials, 202)

Preface
Contents
Symbols and Abbreviations
	Latin Symbols
	Latin Symbols
	Latin Numbers
	Greek Symbols
	Mathematical Symbols
	Indices, Superscripted
	Indices, Subscripted
	Abbreviations
1 Introduction
	References
2 Simplified Laminate Theory
	2.1 Introduction
	2.2 Bar Elements
		2.2.1 Kinematics
		2.2.2 Constitutive Equation
		2.2.3 Equilibrium
		2.2.4 Differential Equation
	2.3 Euler–Bernoulli Beam Elements
		2.3.1 Kinematics
		2.3.2 Constitutive Equation
		2.3.3 Equilibrium
		2.3.4 Differential Equation
	2.4 Combination of Bar and Beam Elements
		2.4.1 Kinematics
		2.4.2 Constitutive Equation
		2.4.3 Equilibrium
		2.4.4 Differential Equations
	2.5 Failure Criteria
		2.5.1 Maximum Stress Criterion
		2.5.2 Maximum Strain Criterion
		2.5.3 Tsai-Hill Criterion
		2.5.4 Tsai-Wu Criterion
	2.6 Simplified Classical Laminate Theory for One-Dimensional Elements
		2.6.1 Introduction
		2.6.2 Generalized Stress-Strain Relationship
		2.6.3 Failure Analysis
	References
3 Composite Laminate Analysis Tool—CLAT 1D
	3.1 Programming Approach
	3.2 Graphical Appearance, Functionality, and Operation
	References
4 Application Examples
	4.1 Introduction
	4.2 Problem 1: Stresses and Strains in a Symmetric Laminate
	4.3 Problem 2: Stresses and Strains in an Asymmetric Laminate
	4.4 Problem 3: Failure Criteria
	4.5 Problem 4: Ply-By-Ply Failure Loads
	References
5 Source Codes
	5.1 main.py
	5.2 Laminates_classes.py
	5.3 globalVars.py
	5.4 CLATHelpModule.py
	5.5 requirements.txt
Index