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<html><head><link rel="stylesheet" type="text/css" href="style.css"/></head><body> <H2> <BR> *GAP </H2> <P> Keyword type: model definition <P> This option is used to define a gap geometry. The parameter ELSET is required and defines the set of gap elements to which the geometry definition applies. Right now, all gap elements must be of the GAPUNI type and can be defined by an *ELEMENT card. The gap geometry is defined by its clearance <SPAN CLASS="MATH"><B><IMG WIDTH="12" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img302.png" ALT="$ d$"></B></SPAN> and direction <!-- MATH $\boldsymbol{n}$ --> <SPAN CLASS="MATH"><B><IMG WIDTH="15" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" SRC="img303.png" ALT="$ \boldsymbol{n}$"></B></SPAN> (a vector of length 1). Let the displacement vector of the first node of a GAPUNI element be <!-- MATH $\boldsymbol{u_1}$ --> <SPAN CLASS="MATH"><B><IMG WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img304.png" ALT="$ \boldsymbol{u_1}$"></B></SPAN> and the displacement vector of the second node <!-- MATH $\boldsymbol{u_2}$ --> <SPAN CLASS="MATH"><B><IMG WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img305.png" ALT="$ \boldsymbol{u_2}$"></B></SPAN>. Then, the gap condition is defined by: <P> <P></P> <DIV ALIGN="CENTER" CLASS="mathdisplay"><!-- MATH \begin{equation} d+\boldsymbol{n} \cdot (\boldsymbol{u_2} -\boldsymbol{u_1}) \ge 0. \end{equation} --> <TABLE CLASS="equation" CELLPADDING="0" WIDTH="100%" ALIGN="CENTER"> <TR VALIGN="MIDDLE"> <TD NOWRAP ALIGN="CENTER"><SPAN CLASS="MATH"><IMG WIDTH="157" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" SRC="img306.png" ALT="$\displaystyle d+\boldsymbol{n} \cdot (\boldsymbol{u_2} -\boldsymbol{u_1}) \ge 0.$"></SPAN></TD> <TD NOWRAP CLASS="eqno" WIDTH="10" ALIGN="RIGHT"> (<SPAN CLASS="arabic">706</SPAN>)</TD></TR> </TABLE></DIV> <BR CLEAR="ALL"><P></P> <P> The gap condition is internally simulated by a nonlinear spring of the type used in node-to-face contact with a linear pressure-overclosure curve, cf. Figure 130 in which the pressure is to be replaced by the force. The defaults for the spring stiffness (in units of force/displacement) and the tensile force at <SPAN CLASS="MATH"><B><IMG WIDTH="32" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img2397.png" ALT="$ - \infty$"></B></SPAN> are <SPAN CLASS="MATH"><B><IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="img2398.png" ALT="$ 10^{12}$"></B></SPAN> and <SPAN CLASS="MATH"><B><IMG WIDTH="37" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="img925.png" ALT="$ 10^{-3}$"></B></SPAN>, respectively. They can be changed by the user. <P> <P><P> <BR> <P> First line: <UL> <LI>*GAP </LI> <LI>Enter the ELSET parameter and its value. </LI> </UL> <P> Second line : <UL> <LI>gap clearance </LI> <LI>first component of the normalized gap direction </LI> <LI>second component of the normalized gap direction </LI> <LI>third component of the normalized gap direction </LI> <LI>not used </LI> <LI>spring stiffness (default <SPAN CLASS="MATH"><B><IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="img2398.png" ALT="$ 10^{12}$"></B></SPAN> [force]/[length]) </LI> <LI>tensile force at <SPAN CLASS="MATH"><B><IMG WIDTH="32" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img2397.png" ALT="$ - \infty$"></B></SPAN> (default <SPAN CLASS="MATH"><B><IMG WIDTH="37" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="img925.png" ALT="$ 10^{-3}$"></B></SPAN> [force]). </LI> </UL> <P> <PRE>
Example:
*GAP,ELSET=E1
0.5,0.,1.,0.
</PRE> <P> defines a clearance of 0.5 and the global y-axis as gap direction for all gap elements contained in element set E1. <P> <P><P> <BR> Example files: gap. <P> </body></html>