nots.tex

\newcommand{\notcolor}{blue}
\newcommand{\+}[2]{\newcommand#1{{\color{\notcolor}#2}}}
\newcommand{\1}[2]{\newcommand{#1}[1]{{\color{\notcolor}#2}}}
\newcommand{\2}[2]{\newcommand{#1}[2]{{\color{\notcolor}#2}}}

\newcommand{\mat}{\boldsymbol }
\renewcommand{\exp}[1]{\mathrm{exp}\left({#1}\right)}

\+{\degree}{$^\circ$}
\+{\dd}{\mathrm{d}}
\1{\ddt}{\frac{\dd#1}{\dd t}}
\1{\norm}{|\!|#1|\!|}
\+{\pd}{\partial}

\+{\uuh}{u^h}
\+{\ggh}{g^h}
\+{\vvh}{v^h}
\+{\wwh}{w^h}
\+{\nel}{N}
\+{\young}{E}                   % young's modulus
\+{\area}{A}                    % cross-section area

\+{\shape}{\Phi}                % elementary shape (basis) function
\+{\stm}{\mat K}                % stiffness matrix
\1{\stme}{K_{#1}}       % stiffness matrix entry

\+{\estm}{\mat K^e}               % element stiffness matrix
\1{\estme}{\mat K^e_{#1}}       % element stiffness matrix entry

\+{\vdspl}{\vec d}
\+{\vfrc}{\vec F}

\1{\cO}{\mathcal{O}(#1)}

\+{\bcg}{\mathfrak{g}}
\+{\bch}{\mathfrak{h}}

\+{\press}{P}                   % pressure
\+{\pressatm}{P_\mathrm{atm}}   % atmospheric pressure
\+{\stress}{\sigma}             % total stress
\+{\efstress}{\bar\sigma}       % effective stress
\+{\strain}{\varepsilon}       % strain
\+{\rdense}{\rho_r}             % resin density

\+{\dx}{\Delta_x}                      % space step
\+{\dt}{\Delta_t}                      % time step
\1{\bigO}{\mathcal{O}(#1)}      % big O notation
\2{\disp}{u_{#1}^{#2}}          % shorthand for u
\2{\efstr}{\efstress_{#1}^{#2}}          % shorthand for u

\1{\ee}{\cdot 10^{#1}}          % times 10^x -- engineering notation

\+{\vfrac}{V_f}                 % fibre volume fraction
\+{\vzero}{V_0}                 % initial fibre volume fraction
\+{\vmax}{V_a}                  % maximal fibre volume fraction
\+{\permeab}{K}                 % permeability
\+{\kozeny}{k}                  % Kozeny constant
\+{\viscos}{\mu}                % viscosity
\+{\cure}{\alpha}               % cure
\+{\curegel}{\cure_g}          % cure gelation point
\+{\temp}{T}                    % temperature

\+{\viscosinf}{\mu_\infty} % theoretical viscosity at infinite temperature and no cure

\+{\spring}{A_s}                % spring constant

\+{\flow}{v}                    %flow through the fibre bed

\+{\duration}{d}                    % duration of the press

\+{\errU}{\epsilon_u}                    % error in U