THE METHOD AND PROGRAM TO DETERMINE THE COMMON VOLUME OF INTERSECTION OF TWO NONPLANAR-FACE HEXAHEDRONS ARBITRARILY LOCATED IN SPACE

V. I. Delov, L. V. Dmitrieva, V. V. Sadchikov
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.4. С. 57-61.

      A method developed to solve the spatial problem on the existence of an intersection between two hexahedrons arbitrarily located in space and the way to find the common volume of their intersection, if any, is presented. The faces of the hexahedrons are represented as a set of four flat triangles with a common vertex in the geometric centers of the faces. The number of triangles that approximate the surface of the face can be easily replaced if necessary.

      An approach to the construction of conservative differential-difference representations of equations to describe unsteady elastoplastic flows in Lagrangian variables is proposed. 2D axially symmetric motion of an isotropic elastoplastic medium is considered. Results of computations by a difference scheme of the second order of approximation in time obtained using the constructed differential-difference equations of motion are reported.