Single Point Load Boussinesq Problem

This image superimposes the hyperstreamline method and the deformation based method for visualizing tensor fields. Two planes perpendicular to the applied force (red arrow) are selected and deformed by tensor field on those planes. Hyperstreamlines clearly show the direction of greatest compression and, through pseudo-coloring by the eigenvalue, the magnitude of the compressive forces. Deformed planes give a stronger visual clue about the relative magnitude of forces. Additionally, they cover a large region of the field and hence provide more direct information over a greater portion of the field.

Cylinder with Hemispherical Cap

Closeup of deformation of a grid slice perpendicular to the cylinder and behind the hemispherical cap. The slice is deformed by the normal component of the rate of strain acting on the grid slice. Pseudo-coloring is by an HSV hue mapping of velocity with red hues indicating higher velocity. Extrusions toward the viewer represent tensile strain and depressions away from the viewer represent compressive strain. Some features of interest include a large spike of tensile strain just underneath the cylinder and the "ripple" pattern of alternating tension and compression on the surface above the cylinder.

Cylinder with Hemispherical Cap

Deformation of a grid slice perpendicular to the cylinder and further behind the hemispherical cap. The slice is deformed by the normal component of the rate of strain acting on the grid slice. Pseudo-coloring is by an HSV hue mapping of velocity with red hues indicating higher velocity. Extrusions toward the front of the cylinder represent tensile strain and depressions represent compressive strain. Some features of interest include (a) large spikes of tensile and compressive strain just underneath the cylinder, (b) a "ripple" pattern of alternating tension and compression on the surface above the cylinder, and (c) a "collar" of tensile strain near the cylinder surface that begins at the top of the cylinder and reaches its maximum extent at the middle of the cylinder.

Cylinder with Hemispherical Cap

Deformation of a grid slice perpendicular to the cylinder and behind the hemispherical cap (same slice as the image above). The slice is deformed by the normal component of the rate of strain deviator acting on the grid slice. Pseudo-coloring is by an HSV hue mapping of velocity with red hues indicating higher velocity. Extrusions toward the front of the cylinder represent tensile strain and depressions represent compressive strain. Some features of interest include (a) large spikes of tensile and compressive strain just underneath the cylinder, (b) a "ripple" pattern of alternating tension and compression on the surface above the cylinder, and (c) a "collar" of tensile strain near the cylinder surface that begins at the top of the cylinder and reaches its maximum extent at the middle of the cylinder. There is detail present in the slice just under the cylinder and in the "collar" at the side of the cylinder that is not seen in deformations that include the isotropic component of the strain tensor.

Last modified Tuesday, 14-Jul-1998 09:28:09 PDT.