The visualization of the parameters of the stress state of a solid remains one
of the parameters influencing the adoption of engineering decisions. For example,
methods for determining finite elements (FEM), which make it possible to determine
and visualize stress in the selected regions of the model. Applying element methods to
analytically constructed models to localize the search for stress to its values at a point,
however, will not lead to successful results. The paper discusses the principles of
visualization of local stresses based on the functional-voxel method. The concept
of a volume vector as a unit of volume distribution of a force vector in a solid
isotropic medium is introduced. Geometrical foundations are proposed for
computer representation of the stress unit in an isomorphic body based on a raster
image. Geometric models of the stress tensor are constructed for the main site,
the inclined platform. The principles of applying the functional-voxel model in
the tasks of constructing complex objects are proposed. The application of the
functional voxel method for discrete modeling of the deformation of a geometric
object is illustrated by the example of a function that describes a rectangular plate.