A method for use in a system comprising a receiver module, an application module, an evaluation module and a modification module for obtaining topologically optimized structure for use in additive manufacturing, the method comprising: receiving by the receiver module, a finite element mesh encompassing a desired structure to be topologically optimized based on at least one design objective and orthotropic properties of material, the orthotropic properties arising out of a selected material and a selected additive manufacturing process to be used for manufacturing the desired structure; applying by the application module, an iterative topology optimization of the desired structure, wherein each iteration of the topology optimization comprises simulating one or more loading requirements, one or more design constraints and one or more boundary conditions under which the desired structure is designed and optimized; evaluating by the evaluation module, the desired structure resulting from application of the iterative topology optimization using finite element analysis framework to obtain a minimal predefined factor of safety based on anisotropic properties of the material arising out of the selected additive manufacturing process, wherein a predefined factor of safety condition is defined as a substantially small difference in comparison with an evaluated factor of safety; modifying, by the modification module, a state of a finite element iteratively according to one or more changes of a factor of safety between two consecutive iterations of the iterative topology optimization of the desired structure, wherein a mesh-independency filter with one or more nodal variables is used to determine utility numbers of the finite elements, which are used for addition or elimination of finite elements; and obtaining an optimal desired structure when the entire structure reaches a minimal factor of safety equivalent to the minimal predefined factor of safety. receiving by the receiver module, a finite element mesh encompassing a desired structure to be topologically optimized based on at least one design objective and orthotropic properties of material, the orthotropic properties arising out of a selected material and a selected additive manufacturing process to be used for manufacturing the desired structure; applying by the application module, an iterative topology optimization of the desired structure, wherein each iteration of the topology optimization comprises simulating one or more loading requirements, one or more design constraints and one or more boundary conditions under which the desired structure is designed and optimized; evaluating by the evaluation module, the desired structure resulting from application of the iterative topology optimization using finite element analysis framework to obtain a minimal predefined factor of safety based on anisotropic properties of the material arising out of the selected additive manufacturing process, wherein a predefined factor of safety condition is defined as a substantially small difference in comparison with an evaluated factor of safety; modifying, by the modification module, a state of a finite element iteratively according to one or more changes of a factor of safety between two consecutive iterations of the iterative topology optimization of the desired structure, wherein a mesh-independency filter with one or more nodal variables is used to determine utility numbers of the finite elements, which are used for addition or elimination of finite elements; and obtaining an optimal desired structure when the entire structure reaches a minimal factor of safety equivalent to the minimal predefined factor of safety.