Constraints on integral measures of stress state in topology optimization problems

Topology optimization (TO) is a computational method of determining material distribution in given design area to create the optimal shape part under boundary conditions. The increased interest development effective methods designing parts topology testifies relevance these theoretical studies and important applied value obtained results. In classic formulation maintenance, minimization flexibility restrictions on volume (mass) result chosen as criterion for finding specified distribution. Closer practical application maintenance problem, which involves minimizing part, taking into account condition its strength. inclusion aggregate functions calculation integral measures stress state has number advantages over traditional check maximum mechanical stress: significant saving time solving reduction costs ensuring stability process. This work presents analyzes specialization functions, have been most widely used modern research issues, strength optimized part. particular, P-norm P-mean Kreiselmeier-Steinhauser smoothed Heaviside function, measure exceeded stresses, uneven are described. large options available literature mathematical limitations designed indicates that issue developing universal parts, strength, remains open.