The paper presents an approach developed on the basis of the functional
voxel method to the geometric representation of the thermal expansion of
objects and temperature stresses in a material when exposed to a surface of a heat
source. A discrete geometric law of a single temperature stress in an isotropic
heat-conducting body is derived, applicable in the concept of functional voxel
modeling. Based on this law, functional-voxel models of thermal stress are developed
for a single and distributed application of a heat source. Algorithms of
functional-voxel modeling of temperature stress and expansion in the case of distributed
thermal loading are presented, which make it possible to construct a loading
region of a complex configuration, uniformly form a contour (surface) after
material expansion and obtain information about changes in the length (volume)
of products. The advantages of the proposed functional-voxel approach to modeling
thermal expansion and stress over approaches based on the FEM are substantiated