-In order to increase the density of the whole packing and to fill spheres in the gaps close to the mesh boundaries (created by removing boundary spheres), SpherePadder detect `void spaces' where new spheres could be added by applying a particular geometric procedure, using tetrahedra resulting from a tridimensional Delaunay triangulation built with the sphere centers. That triangulation is generated by using the CGAL library [2].
-
-DE meshes generated by SpherePadder algorithm are used in EUROPLEXUS fast dynamics software simulations [3] to model the discontinuous behaviour (fractures, fragmentation) of reinforced concrete structures under severe dynamic loads such as impacts or explosions. The characteristic size of elements does not have to be representative of concrete constituents, such as granulars or cement matrix, since the aim is to reproduce the dynamic behaviour of the simulated material at the macroscopic scale.
-
-To generate DE mesh for a reinforced concrete structure, one should supply a single tetrahedral mesh for concrete and as many segment-type 1D meshes as groups of steel reinforcement bars of different diameters. The size (length) of segment-type steel reinforcement elements should correspond to the modelled bar’s diameter. SpherePadder algorithm will create steel discrete elements by using the segment’s length as the DE diameter.
-
-Warning: The User should control that all steel bars of a given diameter in a mesh belong to the same mesh group, and that different steel bar groups do not use the same diameter.
+In order to increase the density of the whole packing and to fill
+spheres in the gaps close to the mesh boundaries (created by removing
+boundary spheres), SpherePadder detect `void spaces' where new spheres
+could be added by applying a particular geometric procedure, using
+tetrahedra resulting from a tridimensional Delaunay triangulation
+built with the sphere centers. That triangulation is generated by
+using the CGAL library [2].
+
+DE meshes generated by SpherePadder algorithm are used in EUROPLEXUS
+fast dynamics software simulations [3] to model the discontinuous
+behaviour (fractures, fragmentation) of reinforced concrete structures
+under severe dynamic loads such as impacts or explosions. The
+characteristic size of elements does not have to be representative of
+concrete constituents, such as granulars or cement matrix, since the
+aim is to reproduce the dynamic behaviour of the simulated material at
+the macroscopic scale.
+
+To generate DE mesh for a reinforced concrete structure, one should
+supply a single tetrahedral mesh for concrete and as many segment-type
+1D meshes as groups of steel reinforcement bars of different
+diameters. The size (length) of segment-type steel reinforcement
+elements should correspond to the modelled bar’s
+diameter. SpherePadder algorithm will create steel discrete elements
+by using the segment’s length as the DE diameter.
+
+Warning: The User should control that all steel bars of a given
+diameter in a mesh belong to the same mesh group, and that different
+steel bar groups do not use the same diameter.