Modeling of additive manufacturing and surface growth processes

Influence of Postprocessing on Wear Resistance of Aerospace Steel Parts Produced by Laser Powder Bed Fusion

“…Laser additive manufacturing methods have been successfully developed for the last 30 years [1][2][3]; however, the parts' final quality is often under the quality threshold required by the industry level [4][5][6][7][8] (anisotropy of properties, natural profile waviness, surface roughness parameter R a higher than 6.3 µm, trapped unmelted granules, side effect) despite the evident advantages [9,10], especially concerning the production of the functional wear-resistant responsible products for more complex mechanisms for the needs of the transport, aircraft, and aerospace industries [11,12]. Another problem is the postprocessing of the obtained surfaces with a complex character and internal cavities that are mostly required for the parts produced by additive manufacturing [13][14][15].…”

Application of surface growth model for a pathological process in a blood vessel's wall

“…The derivations of some boundary conditions using thermodynamics principles or conservation laws can be found in a number of studies. [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] The principal variables of the boundary value problem for theory of surface growth for solids are the stress tensor and strain rate tensors and velocity vector. On the surface of growth, one needs to set a specific boundary condition depending on the curvature tensor of the growth surface as well as on tension and inflow rates of the incremented elements.…”

“…In this paper, we use notations and concepts introduced in studies. 40,41,45,48 Description of the surface growth process involves three characteristic times: * 𝜏 1 (x) is time when the element with the position vector x is created, the time 𝜏 0 (x) is time when a load is applied to this element, and * 𝜏(x) is time when the element is deposited on the growing solid. Furthermore, the star " * " on the top of character "a" has the following sense:…”

“…We suggest an approach to modeling the surface growth processes in solids on the basis of the following postulates 48 :…”

“…The solution of each specific problem for a growing solid is an independent and complicated problem. 45,48 Within the framework of the mechanics of growing solids, an essential feature of the formulation of boundary value problems is the statement of boundary conditions on the surface between main body and growing part. 38,[40][41][42] In this section, we consider several variants of the boundary value problems.…”