diff --git a/web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.md b/web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.pandoc similarity index 93% rename from web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.md rename to web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.pandoc index c249033c4300d8dc7cbc86cf44b540de77f519c9..57af17b0ac0cbf26b3488ca802410361817dc772 100644 --- a/web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.md +++ b/web/content/docs/benchmarks/python-bc/hertz-contact/hertz-contact.pandoc @@ -25,7 +25,7 @@ The aim of this test is: ## Problem description Two elastic spheres of same radius $R$ are brought into contact. -The sphere centers are displaced towards each other by $w\_0$, with increasing +The sphere centers are displaced towards each other by $w_0$, with increasing values in every load step. Due to symmetry reasons a flat circular contact area of radius $a$ forms. @@ -35,7 +35,7 @@ The contact between the two spheres is modelled as a Dirichlet BC on a varying boundary. The exact boundary and Dirichlet values for the $y$ displacements are determined in a Python script. Compared to the sketch above the prescribed $y$ displacements correspond -to $w\_0/2$, because due to symmetry only half of the system (a section of the +to $w_0/2$, because due to symmetry only half of the system (a section of the lower sphere) is simulated. @@ -47,7 +47,7 @@ in [this book (in German)](http://www.uni-magdeburg.de/ifme/l-festigkeit/pdf/Ber The radius of the contact area is given by $$ \begin{equation} -a = \sqrt{\frac{w\_0 R}{2}} +a = \sqrt{\frac{w_0 R}{2}} \end{equation} $$