Difference between revisions of "Linear Imperfect Interface"
(Created page with "__TOC__ == Description == This imperfect interface contact law assume the normal and tangential tractions are linear and dep...") |
|||
| Line 2: | Line 2: | ||
== Description == | == Description == | ||
This [[Contact Laws#Imperfect Interface Contact Laws|imperfect interface contact law]] | This [[Contact Laws#Imperfect Interface Contact Laws|imperfect interface contact law]] assumes the normal and tangential tractions are linear and depend only on the normal and tangentatial displacement discontinuities, respectively: | ||
| |||
<math>T_n = D_n[u_n]</math> | |||
| |||
<math>T_t = D_t[u_t]</math> | |||
where D<sub>n</sub> and D<sub>t</sub> are two interface parameters, which are infinite for a perfect interface (zero displacement discontinuity) and 0 for a debonded interface (zero traction). But this linear law would allow the two materials to interpenetrate, especially if D<sub>n</sub> was low. To correct this issue, the traction law in the normal direction is allowed to be bilinear: | |||
| |||
<math>T_n = \left\{ \begin{array}{ll} D_{nt}[u_n] & {\rm \ if\ }[u_n]>0 \\ D_{nc}[u_n] & {\rm \ otherwise} \end{array} \right.</math> | |||
where D<sub>nt</sub> and D<sub>nc</sub> are separate interface parameters for the interface being in tension or compression. | |||
== Properties == | == Properties == | ||
Revision as of 08:07, 24 January 2016
Description
This imperfect interface contact law assumes the normal and tangential tractions are linear and depend only on the normal and tangentatial displacement discontinuities, respectively:
[math]\displaystyle{ T_n = D_n[u_n] }[/math]
[math]\displaystyle{ T_t = D_t[u_t] }[/math]
where Dn and Dt are two interface parameters, which are infinite for a perfect interface (zero displacement discontinuity) and 0 for a debonded interface (zero traction). But this linear law would allow the two materials to interpenetrate, especially if Dn was low. To correct this issue, the traction law in the normal direction is allowed to be bilinear:
[math]\displaystyle{ T_n = \left\{ \begin{array}{ll} D_{nt}[u_n] & {\rm \ if\ }[u_n]\gt 0 \\ D_{nc}[u_n] & {\rm \ otherwise} \end{array} \right. }[/math]
where Dnt and Dnc are separate interface parameters for the interface being in tension or compression.