An algorithm for topological structural optimization using homogenization theory and optimality criteria methods is presented. Material models and homogenization theory are briefly introduced. Some examples of plane problems are presented, mainly...

by the homogenization method are described. In this paper, the mathematical model for the topological structural optimization is constructed and derivation of the related optimality criteria is explained. A modified resizing scheme is suggested. Finally, in explaining...

In this paper, two new quadrilateral elements are formulated to solve plane problems. Low sensitivity to geometric distortion, no parasitic shear error, rotational invariance, and satisfying the Felippa pure bending test ...

-based methods to optimum solution have been presented yet. Using a new performance index based on the optimality criteria, this paper presents a quantita-tive verification of the MESO method for some structural elements. In this study, quantitative verification...

To analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium...

Morphing Evolutionary Structural Optimization (MESO) is a soft-kill version of the Evolutionary Structural Optimization (ESO). This paper proposes a new performance index which is based on optimality criteria for monitoring the optimization process...