Differences

This shows you the differences between two versions of the page.

--- commit:futur:db [2018/07/17 11:49] – [Description] boemer
+++ commit:futur:db [2018/07/17 12:03] (current) – boemer
@@ Line 12: / Line 12: @@
 ===== Test case =====
-The test case in the following figure is identical to what was decribed previously.  A square is pushed against a contact tool (frictionless) by a constant pressure  $p$ , its lateral movement is blocked and its out-of-plane thickness increases.
+The test case in the following figure is identical to what was decribed previously.  A square is pushed against a contact tool (frictionless) with a pressure  $p$ , its lateral movement is blocked and its out-of-plane thickness increases (as a function of time).
 The gap can be computed in various ways, numerically, analytically and semi-analytically/numerically.  This is what is done in three different extractors to test the good implementation of the previous feature:
-  * First, the numerical computation simply consists in extracting the gaps in the Metafor computation and choosing the one at  $P_{4}$ .
+  * ''numericalGap'': First, the numerical computation simply consists in extracting the gaps in the Metafor computation and choosing the one at  $P_{4}$ .
-  * Second, the analytical computation provides the value of the gap via the following formula:  $\text{gap} = p/k_{n}$ , where  $k_{n}$  is the normal penalty coefficient.
+  * ''analyticalGap'': Second, the analytical computation provides the value of the gap via the following formula:  $\text{gap} = p/k_{n}$ , where  $k_{n}$  is the normal penalty coefficient.
-  * Thirdly, the semi-analytical/numerical computation consists in dividing the nodal contact force along  $\mathbf{y}$ ,  $f_{y}$ , at  $P_{4}$  by the nodal area  $l_{x}l_{z}/n_{x}$  (where  $l_{z} = \epsilon_{z}$ , since the initial out-of-plane thickness is 1, and where  $n_{x}$  is the number of elements along  $\mathbf{x}$ ) and the normal penalty  $k_{n}$ :  $\text{gap} = f_{y}/( k_{n}l_{z}l_{x}/(2n_{x}) )$
+  * ''semiNumAnalyGap'': Thirdly, the semi-analytical/numerical computation consists in dividing the nodal contact force along  $\mathbf{y}$ ,  $f_{y}$ , at  $P_{4}$  by the nodal area  $l_{x}l_{z}/n_{x}$  (where  $l_{z} = \epsilon_{z}$ , since the initial out-of-plane thickness is 1, and where  $n_{x}$  is the number of elements along  $\mathbf{x}$ ) and the normal penalty  $k_{n}$ :  $\text{gap} = f_{y}/( k_{n}l_{z}l_{x}/(2n_{x}) )$
+In all three cases, the gap should be the same.