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Finite Element Formulation

Invoking the stationary of $\Pi$ in Equation (3.5) gives the following system of incremental equations

 \begin{displaymath}\left[ \begin{array}{cc}
{ \bf M}_s &{ \bf0} \\
{ \bf0} &...
{\bf F } \\
{\bf P }
\end{array} \right\}

where ${\bf K}_{\lambda}$ is the contact matrix, ${\bf F}$ is the contact force vector that results from the implementation of the contact forces transmissibility condition, ${\bf R}$ is the conventional residual vector and ${\bf P}$ is the penetration vector resulting from the current material overlap.


A. Zeiny