We investigate the use of combining SIMP topology optimization and phase field method to fracture for maximizing resistance a structure composed two materials. The problem is formulated with respect external work under constraint inclusion volume fraction. performance convergence proposed algorithm are investigated. It shown that can be improved as compared several guess designs same fraction r...

Abstract A flexible problem-specific multiscale topology optimization is introduced to associate different areas of the design domain with diverse microstructures extracted from a dictionary optimized unit cells. The generation carried out by exploiting micro-SIMP AnisoTropic mesh adaptivitY (microSIMPATY) algorithm, which promotes free-form layouts. proposed methodology particularized in proof...

A topology optimization framework for improving the dynamic fracture resistance of structures is proposed. The phase field method combined with Solid Isotropic Material Penalization (SIMP) optimization. problem defined as minimizing energy during whole loading process, from initiation cracks to full failure structure, under volume and compliance constraints. Semi analytical expressions sensitiv...

This study takes an approach to reliability-based topology optimization (RBTO) for 3D structures by applying expansion of smoothing evolutionary structural (SESO) and sequential element rejection admission (SERA) three-dimensional optimization. In the search stable optimal solution, a more reliable structure, we present performance index with ability monitor procedure adopt filtering scheme usu...

This work develops a framework for SIMP-based topology optimization of a metallic panel structure subjected to design-dependent aerodynamic, inertial, elastic, and thermal loads. Multi-physics eigenvalue-based design metrics such as thermal buckling and dynamic flutter are derived, along with their adjoint-based design derivatives. Locating the flutter point (Hopf-bifurcation) in a precise and ...

The general problem in topology optimization is correctly formulated as a doublemin mixed integer nonlinear programming (MINLP) problem based on the minimum total potential energy principle. It is proved that for linear elastic structures, the alternative iteration leads to a Knapsack problem, which is considered to be NP-hard in computer science. However, by using canonical duality theory (CDT...

This paper gives an overview of the issues and opportunities for the application of topology optimization methods for additive manufacturing (AM). The main analysis issues discussed are: how to achieve the maximum geometric resolution to allow the fine features easily manufacturable by AM to be represented in the optimization model; the manufacturing constraints to be considered, and the workfl...

1. Abstract The present paper aims to address a long-standing and challenging problem in structural topology optimization: explicit feature control of the optimal topology. The basic idea is to introduce feature control constraints which are closely related to structural skeleton, which is a key concept in mathematical morphology and a powerful tool for describing structural topologies. Benefit...