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GlossaryDefinitions.tex
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%elasticity basics
\newcommand{\mI}{\ensuremath{ \textnormal{I}}}
\newcommand{\mbu}{\ensuremath{\mathbf {u} }}
\newcommand{\mbx}{\ensuremath{\mathbf {x} }}
\newcommand{\mbX}{\ensuremath{\mathbf {X} }}
\newcommand{\mbF}{\ensuremath{\mathbf {F }}}
\newcommand{\mbdotF}{\ensuremath{\dot{\mbF} }}
\newcommand{\mbdx}{\ensuremath{\textnormal{d} \mathbf {x }}}
\newcommand{\mbdX}{\ensuremath{\textnormal{d} \mathbf {X }}}
\newcommand{\mdx}{\ensuremath{\textnormal{d} {x }}}
\newcommand{\mdX}{\ensuremath{\textnormal{d} {X }}}
\newcommand{\mbdu}{\ensuremath{\textnormal{d} \mathbf {u }}}
\newcommand{\mbI}{\ensuremath{ \mathbf {I }}}
\newcommand{\mdVZero}{\ensuremath{ \textnormal{dV}_0}}
\newcommand{\mdV}{\ensuremath{ \textnormal{dV}}}
\newcommand{\mdAZero}{\ensuremath{ \textnormal{dA}_0}}
\newcommand{\mdA}{\ensuremath{ \textnormal{dA}}}
\newcommand{\mbdAZero}{\ensuremath{ \textnormal{d}\mathbf{A}_0}}
\newcommand{\mbdA}{\ensuremath{ \textnormal{d}\mathbf{A}}}
\newcommand{\mdet}{\ensuremath{ \textnormal{det}}}
\newcommand{\mphi}{\ensuremath{\varphi}}
\newcommand{\msigma}{\ensuremath{\boldsymbol{\sigma}}}
\newcommand{\mn}{\ensuremath{\mathbf {n} }}
\newcommand{\mbN}{\ensuremath{\mathbf {N} }}
\newcommand{\mbn}{\ensuremath{\mathbf {n} }}
\newcommand{\mt}{\ensuremath{\mathbf {t} }}
\newcommand{\mbg}{\ensuremath{\mathbf {g} }}
\newcommand{\mbl}{\ensuremath{\mathbf {l} }}
\newcommand{\mbd}{\ensuremath{\mathbf {d} }}
\newcommand{\mbw}{\ensuremath{\mathbf {w} }}
\newcommand{\mboF}{\ensuremath{\mathbf {\overline{F} }}}
\newcommand{\mboC}{\ensuremath{\mathbf {\overline{C} }}}
\newcommand{\mrf}{\ensuremath{\mathcal G }}
\newcommand{\mrF}{\ensuremath{\mathcal H }}
\newcommand{\mbT}{\ensuremath{\mathbf {T} }}
\newcommand{\mtr}{\ensuremath{\textnormal{tr} }}
\newcommand{\mwint}{\ensuremath{w_{int}}}
\newcommand{\mbV}{\ensuremath{\mathbf {V} }}
\newcommand{\mgrad}{\ensuremath{ \textnormal{grad}}}
\newcommand{\mGrad}{\ensuremath{ \textnormal{Grad}}}
\newcommand{\mdiv}{\ensuremath{ \textnormal{div}}}
\newcommand{\mDiv}{\ensuremath{ \textnormal{Div}}}
\newcommand{\mddt}{\ensuremath{ \frac{\textnormal{D}}{\textnormal{Dt}}}}
\newcommand{\mddtS}{\ensuremath{ \frac{\textnormal{D}^2}{\textnormal{Dt}^2}}}
\newcommand{\mDDt}{\ensuremath{ \frac{\textnormal{D}}{\textnormal{Dt}}}}
\newcommand{\mbU}{\ensuremath{\mathbf {U} }}
\newcommand{\mbC}{\ensuremath{\mathbf {C} }}
\newcommand{\mbE}{\ensuremath{\mathbf {E} }}
\newcommand{\mbeps}{\ensuremath{\boldsymbol \epsilon }}
\newcommand{\mPext}{\ensuremath{\mathcal P _{ext}}}
\newcommand{\mPint}{\ensuremath{\mathcal P _{int}}}
\newcommand{\mKext}{\ensuremath{\mathcal K }}
\newcommand{\mK}{\ensuremath{\mathcal K }}
\newcommand{\mcg}{\ensuremath{\mathcal{g}}}
\newcommand{\mcG}{\ensuremath{\mathcal{G}}}
\newcommand{\mcM}{\ensuremath{\mathcal{M}}}
\newcommand{\mPsi}{\ensuremath{\Psi}}
\newcommand{\mbdF}{\ensuremath{\textnormal{d} \mathbf {f} }}
\newcommand{\mbP}{\ensuremath{\mathbf {P} }}
\newcommand{\mbS}{\ensuremath{\mathbf {S} }}
\newcommand{\mrho}{\ensuremath{\rho}}
\newcommand{\mBody}{\ensuremath{\mathcal{B} }}
\newcommand{\mv}{\ensuremath{\mathbf {v} }}
\newcommand{\mdotv}{\ensuremath{\mathbf {\dot v} }}
\newcommand{\mdotu}{\ensuremath{\mathbf {\dot u} }}
\newcommand{\mSt}{\ensuremath{\mathbf {U }}}
\newcommand{\meFunc}{\ensuremath{\Pi}}
\newcommand{\mH}{\ensuremath{H}} %Hamiltonian
\newcommand{\mL}{\ensuremath{L}} %Lagrangian
%\newcommand{\mPotEn}{\ensuremath{\Pi}}
\newcommand{\meps}{\ensuremath{\boldsymbol{\epsilon}}}
\newcommand{\mRConf}{\ensuremath{\Omega _0 }}
\newcommand{\mCConf}{\ensuremath{\Omega }}
\newcommand{\mIntRConf}{\ensuremath{\int _{\Omega _0} }}
\newcommand{\mIntCConf}{\ensuremath{\int _{\Omega } }}
\newcommand{\mIntREl}{\ensuremath{\int _{\mElem} }}
\newcommand{\mIntBCRConf}{\ensuremath{\int _{\partial \Omega _0} }}
\newcommand{\mDRConf}{\ensuremath{\textnormal{dV}_0 }}
\newcommand{\mDCConf}{\ensuremath{\textnormal{dV} }}
\newcommand{\mcu}{\ensuremath{\mathcal{U} }}
%\newcommand{\mca}{\ensuremath{\mathcal{A} }}
\newcommand{\mcx}{\ensuremath{\mathcal{X} }}
\newcommand{\mbf}{\ensuremath{N_J }}
\newcommand{\mbffull}{\ensuremath{N_{jJ} }}
\newcommand{\mtf}{\ensuremath{N_I }}
\newcommand{\mtfTwo}{\ensuremath{N}}
\newcommand{\mtfderiv}{\ensuremath{N_{I,i} }}
\newcommand{\mtfn}{\ensuremath{N }}
\newcommand{\mcdx}{\ensuremath{\textnormal{d}\mathpzc{x} }}
\newcommand{\mcdv}{\ensuremath{\textnormal{d}\dot{\mathcal{U}} }}
\newcommand{\mcdu}{\ensuremath{\textnormal{d}{\mathcal{U}} }}
\newcommand{\mesym}{\ensuremath{T }}
\newcommand{\mfsym}{\ensuremath{\partial T }}
\newcommand{\mfext}{\ensuremath{\mathbf f ^{ext}}}
\newcommand{\mfextTwo}{\ensuremath{\mathbf f ^{ext}_I}}
\newcommand{\mfextThree}{\ensuremath{f ^{ext}_{iI}}}
\newcommand{\mfint}{\ensuremath{\mathbf f ^{int}}}
\newcommand{\mfintTwo}{\ensuremath{\mathbf f ^{int}_I}}
\newcommand{\mfintTwoX}{\ensuremath{\mathbf f ^{int}_I}}
\newcommand{\mfintThree}{\ensuremath{f ^{int}_{iI} }}
\newcommand{\mfintDens}{\ensuremath{\hat{f} ^{X,int}_{iI} }}
\newcommand{\mfintDensTwo}{\ensuremath{\mathbf {\hat{f}} ^{int}_I}}
\newcommand{\mfintDensTwoX}{\ensuremath{\mathbf {\hat{f}} ^{X,int}_I}}
\newcommand{\mfintCR}{\ensuremath{\mathbf f ^{int,CR}}}
\newcommand{\mfintTwoCR}{\ensuremath{\mathbf f ^{int,CR}_I}}
\newcommand{\mfintThreeCR}{\ensuremath{f ^{int,CR}_{iI} }}
\newcommand{\mfintDensCR}{\ensuremath{\hat{f} ^{int,CR}_{iI} }}
\newcommand{\mnode}{\ensuremath{P}}
\newcommand{\mnnode}{\ensuremath{n}} %number of all nodes
\newcommand{\mmnode}{\ensuremath{m}} %number of all extended nodes
\newcommand{\mmmat}{\ensuremath{\mathbf M}}
\newcommand{\msmat}{\ensuremath{\mathbf K}}
\newcommand{\mdmat}{\ensuremath{\mathbf D}}
\newcommand{\mBCN}{\ensuremath{\Gamma _N}}
\newcommand{\mBCD}{\ensuremath{\Gamma _D}}
\newcommand{\mBCC}{\ensuremath{\Gamma _C}}
\newcommand{\mBCSPD}{\ensuremath{V_D(\mBCD,\overline{\mbu})}}
\newcommand{\mBCSPDX}{\ensuremath{V_D(\mBCD,\overline{\mbx})}}
\newcommand{\mBCSPN}{\ensuremath{V_N(\mBCN,\overline{\mt})}}
\newcommand{\mBCSPC}{\ensuremath{V_C(\mBCC,0)}}
\newcommand{\mTFunc}{\ensuremath{\delta \mbu}}
\newcommand{\mSTFunc}{\ensuremath{{C}_0 ^{\infty}}}
\newcommand{\mSCTFunc}{\ensuremath{{C}_0 ^{\infty} \cap V_D(\mBCD,0)}}
\newcommand{\mSCTFuncTwo}{\ensuremath{{C}_0 ^{0} \cap V_D(\mBCD,0)}}
\newcommand{\mSCTFuncThree}{\ensuremath{{H}^1 \cap V_D(\mBCD,0)}}
\newcommand{\mSSol}{\ensuremath{{C} ^{2}(\Omega) \cap {C} ^{1} (\overline{\Omega})}}
\newcommand{\mSSolBC}{\ensuremath{{C} ^{2}(\Omega) \cap {C} ^{1} (\overline{\Omega}) \cap \mBCSPD \cap \mBCSPN}}
\newcommand{\mca}{\ensuremath{{\mathcal{\ddot{U}}}}}
\newcommand{\mcv}{\ensuremath{{\mathcal{\dot{U}}}}}
\newcommand{\mtvh}{\ensuremath{\hspace*{0.2em}^{t+\Delta t}\vspace*{-0.2em} }}
\newcommand{\mth}{\ensuremath{\hspace*{0.2em}^{t}\vspace*{-0.2em} }}
\newcommand{\mthZero}{\ensuremath{\hspace*{0.2em}^{0}\vspace*{-0.2em} }}
\newcommand{\mdt}{\ensuremath{\Delta t }}
\newcommand{\mintdt}{\textnormal{dt}}
\newcommand{\mrot}{\ensuremath{\mathbf{R}}}
\newcommand{\mstretchmat}{\ensuremath{\mathbf{U}}}
\newcommand{\mMesh}{\mathcal{M}}
\newcommand{\mSMesh}{\mathcal{S}}
\newcommand{\mElem}{\tau}
\newcommand{\mTri}{\mathbb{T}}
\newcommand{\mVert}{\nu}
\newcommand{\mbp}{\mathbf{p}}
\newcommand{\mElemSetVert}{\mathcal{E}}
\newcommand{\mVertSetElem}{\mathcal{V}}
\newcommand{\oProd}{\otimes}
\newcommand{\liftOp}{\mathbf O}