Mechanical Design of AM Fabricated Prismatic Rods under Torsion

Abstract

Abstract.We study the stress-strain state of viscoelastic prismatic rods fabricated or repaired by additive manufacturing technologies under torsion. An adequate description of the processes involved is given by methods of a new scientific field, mechanics of growing solids. Three main stages of the deformation process (before the beginning of growth, in the course of growth, and after the termination of growth) are studied. Two versions of statement of two problems are given: (i) given the torque, find the stresses, displacements, and torsion; (ii) given the torsion, find the stresses, displacements, and torque. Solution methods using techniques of complex analysis are presented. The results can be used in mechanical and instrument engineering.

On determining residual stresses in a viscoelastic coating of arbitrary thickness formed during multilayer application on the inner surface of the straight pipe wall

“…Formulae (11) follow from (8). Further, such boundary conditions for the introduced functions follow from the boundary conditions of problem (8):…”

“…Therefore, the problems of mechanics for such solids stand apart from another problems in solid mechanics. The mathematical apparatus used for stating and solving these problems is currently being developed by the corresponding scientific school in Russia (see, for example, works [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]).…”

A model of mechanics of growing solids for the stress-strain analysis of wound composites reinforced with thin unidirectional fibers

“…This goal is dealt with in the works of the scientific school in mechanics of growing solids that has developed over the past twenty years under the initial leadership of Professor A.V. Manzhirov (see, e.g., [1][2][3][4][5][6][7][8][9][10]). It is on these approaches that the here presented research is based.…”