A Matlab Primer for Technical Programming for Materials Science and Engineering

Front matter
Copyright
Dedication
Preface
Introduction
	Some history
	Purpose and audience of the book
	About the book topics
	The structure of the chapters
	About MATLAB versions
	Order of presentation
Basics of MATLAB®
	Launching MATLAB
		MATLAB Desktop and its toolstrip and windows
			Toolstrip
			Command window
			Workspace window
			Current folder window
		Interactive calculations with elementary math functions
		Help commands and Help Window
		About toolboxes
		About variables and commands to variable management
		Output formats
		Output commands
		Application examples
			Bravais lattice: Volume of the triclinic crystal unit cell
			Brinell hardness number
			Friction coefficient
			Stress intensity factor
	Vectors, matrices, and arrays
		Vectors and matrices: Generation and handling
			Generation of vectors
			Generation of matrices and arrays
		Matrix operations
			Addition and subtraction
			Multiplication
			Division
		Array operations
		Commands for generation of some special matrices
		Displaying table with the disp and fprintf commands
		Application examples
			Volume via vectors
			Generating table of names of statistical measures
			Diffusion coefficient statistics
			Mean time between failures
	Flow control
		Relational and logical operators
			Relational operators
			Logical operators
				Application example: Screening of the metals in respect to their density
		The If statements
		Loops in MATLAB
		Application examples
			Isothermal liquid density: Defining coefficients of the linear fit
			Bulk modulus of a material
			Molar concentration
	Questions and exercises for self-testing
	Answers to selected questions and exercises
Graphics and presentations
	Two- and three-dimensional plots
		Two-dimensional plots
			Multiple curves on the 2D plot
				The plot command for multiple curves
				The hold command for generating multiple curves
			Several plots on the same page
			Formatting 2D plots using commands or the Plot Tools editor
				Commands for 2D plot formatting
				The Image 103 commands
				The axis commands
				The xlabel, ylabel, and title commands
				The gtext and text commands
				The legend command
					Formatting text strings
			About interactive plot formatting
		Three-dimensional plots
			Presenting line in 3D plots
			Presenting mesh in 3D plots
			Surfaces in 3D plots
			Formatting and rotating 3D plots
				Setting the figure colors with the colormap command
				The view command, viewpoint, and different 3D projections of the graph
			About the 3D plot rotation
		Specialized two- and threedimensional plots
			Plot with error bars
			Plot with semilogarithmic axes
			Plot with two y-axes
	Statistical plots
		The hist command
		The bar command
		The Data Statistics tool
	Supplementary commands for generating 2D and 3D graphs
	Application examples
		Surface tension of fluid as a function of temperature
		Stress-strain graph generated by the experimental data
		The Lennard-Jones interatomic potential
		Transient one-dimensional diffusion
		Temperature of a square plate
		Velocity distribution of the gas molecules
	Questions and exercises for self-testing
	Answer to selected questions and exercises
Writing programs for technical computing
	Scripts and script files
		How to create, save, and run the script file
			Saving the script file
			About the Current folder
			Running script file
		Input the variable values from the Command Window
	User-defined functions and function files
		Creating the user-defined function
			Definition line of the function
			Lines with the help comments
			Function body, local, and global variables
		Function file
		Running a user-defined function
			Script and user-defined function files, comparison
	Selected MATLAB functions and its applications in MSE
		The interp1 function for interpolation and extrapolation
		Nonlinear algebraic equation solution
		Finding of the extremal points of a function
		Integration
			The quad function
			The trapz function
		Derivative calculation
		Supplementary commands for interpolation, equation solution, integration, and differentiation
	Live Editor
		Launching the Live Editor
		Creating the life script with the Live Editor
		Supplementary information for using the Live Editor
			Creating Live Function
			Opening the existing script as a live script and user-defined function as a live function
			Text formatting options
			About the interactive controls
	Application examples
		Convertor from Brinell to Vickers and Rockwell hardness
		Dynamic viscosity: Reyn to pascal-second and vice versa convertor
		Thermal conductivity data interpolation
		Density of a solid at given pressure and temperature
		Maximal radiance of a surface by the Planck\'s law
		Isochoric thermal pressure coefficient of a substance in the solid state
		Isothermal compressibility for a gaseous substance
	Questions and exercises for self-testing
	Answers to selected questions and exercises
Curve fitting commands and the Basic Fitting tool
	Fitting with polynomials and some other functions
		Fitting by polynomials
		Fitting with nonpolynomial functions
		About the goodness of fit
	Interactive fitting with the Basic Fitting interface
		The ``Plot fits´´ panel items
			``Select data´´ field
			``Center and scale x data´´ box
			``Check to display fits on figure´´ area
			``Show equation´´ box and ``Significant digits´´ field
			``Plot residuals´´ box with two adjacent fields
			``Show norm of residuals´´ box
		The ``Numerical results´´ panel items
			``Fit´´ dropdown list
			``Coefficients and norm of residuals´´ box
			``Save to workspace´´ button
		The ``Find y=f(x)´´ panel items
			``Enter value(s) or a valid MATLAB expression´´
			``Save to workspace´´ button
			``Plot evaluated results´´ box
		An example of using the ``Basic Fitting´´ tool
	Single- and multivariate fitting via optimization
	Application examples
		Fitting of the compressibility factor with the virial series
		Thermal conductivity fitting with the 3rd and 4th degree polynomials
		Fitting the stress-strain data by the nonpolynomial equation
		Fitting of the specific heat of a metal with the Basic Fitting interface
		Fitting the dynamical viscosity-temperature-pressure data by optimization
	Questions and exercises for self-testing
	Answers to selected questions and exercises
ODE-, PDEPE-solvers, and PDE Modeler tool with applications
	Ordinary differential equations and ODE solver
		About numerical methods for solving ODEs
		The ode45 and ode15s commands for solving ODEs
			ODE solution steps
			Extended command forms of the ODE solver
		Supplementary commands of the ODE solver
	Solving partial differential equations with PDE solver
		About numerical methods for solving PDEs
		The pdepe command for solving one-dimensional PDEs
		The steps for solving a PDE with the pdepe command
	Partial differential equations with the PDE toolbox interface
		Solution steps in the PDE Modeler
		Exporting the obtained solution and mesh to the MATLAB workspace
		Conversion of the solution from the triangular to rectangular grid
		Drawing in PDE Modeler
	Application examples
		Examples with the ODE applications
			Heat transfer with a temperature-dependent material property
			Polymeric materials kinetics; step-growth polymerization
		Examples with one-dimensional PDEs
			One-dimensional diffusion equation with Neumann boundaries
			The diffusion Brusselator PDEs
		Examples with solving the two-dimensional PDEs with the PDE Modeler
			Two-dimensional heat transfer equation with temperature-dependent property of a material
			Two-dimensional transient diffusion equation with coordinate-dependent initial conditions
	Questions and exercises for self-testing
	Answers to selected questions and exercises
Appendix: Characters, operators,
and commands for mastering
programs
Index