The algorithm for generating internal structure of product considering stress-strain on example three-point bending

Abstract

An algorithm is proposed for optimizing the internal structure of a sample obtained by 3D printing, while maintaining the mechanical strength and rigidity. The basis is the pre-calculated stress-strain state of the sample in an elastic isotropic setting. Numerical simulation results are obtained showing the performance of the optimized design using the example of the three-point bending problem. Comparison of the results of numerical modeling, optimized and monolithic samples, in elastic isotropic formulation is presented

Algorithm for the formation of the internal structure of a product manufactured using FDM technology, considering the stress-strain state on the example of four-point bending

“…Calculation scheme for determining the maximum deflection of the sample based on the strength condition. To determine the maximum allowable deflection of the sample, the strength condition can be written as [11] AMSD…”

“…Next, using the expression for maximum deflection in the pure four-point bending problem [11] 3 34 2 3 max 24…”

“…4. The strength condition of axial tension compression can be written as [11]: (6) Where Ni is the longitudinal tensile / compressive force; for the cross-sectional area providing strength, Ai is the cross-sectional area of the conditional layer in which σ i acts; i = 8 this number is taken in accordance with the number of finite elements, the sample along the Y axis, to ensure the accuracy of determining the value of normal stresses. The cross-sectional area based on this condition,   .…”