Aug 2026· Proceedings in Applied Mathematics and Mechanics· 0 citations· 18 references
Abstract
Topology optimization and additive manufacturing complement each other: the freedom offered by design optimization enables the creation of complex, highly efficient structures that are often feasible only with additive manufacturing. However, most structural optimization methods assume isotropic material properties, an assumption that contradicts the inherent anisotropy of structures produced via additive manufacturing. Therefore, a comprehensive optimization should consider not only the topology but also the local material orientation.
We present an optimization approach for the topology of layered, anisotropic materials that includes optimizing the global print plane and the local fiber or tool paths, as well as restricting the maximum fiber curvature within the layers. This approach is grounded in thermodynamic optimization based on the stationarity condition of a variational principle used in thermodynamically consistent material modeling. We derive transient partial differential equations for the design variables, whose solutions in pseudo‐time serve as an update scheme that drives the design variables toward the optimum.
The volumetric reduction characteristic of distinct Topology Optimization (TO) techniques is attractive to both academia and industry applications. Furthermore, structural reinforcement provides an economically viable alternative to improve the mechanical properties of parts, inducing greater performance in engineering...
M. César, H. Oliveira, E. Leonel· MATEC Web of Conferences· 0 citations
This work presents a manufacturability‑driven topology optimization framework for continuous‑fiber 3D printing, where fiber orientation and density serve as design variables, and the fiber volume fraction is derived directly from manufacturable fiber paths. By computing the local fiber volume fraction from continuous‑f...
Topology optimization (TO) can be applied to continuum structures to generate efficient designs accounting for performance measures, such as compliance. However, the resulting solutions are often sensitive to the occurrence of local damage, which can be modeled by removing a group of elements from the optimized configu...
Gabriel Queiroz, Edson Denner Leonel· MATEC Web of Conferences· 0 citations
Additive manufacturing enables the production of structures conceived with optimal design freedom, realising the potential of conceptual gains. The design of composites with variable orientations, or variable stiffness design, holds unexplored potential for benefiting from optimisation techniques and additive manufactu...
Paulo Arthur Costa de Freitas, T. Dutra, R. T. Ferreira· Journal of the Brazilian Soc...· 0 citations
The mechanical performance of textile composite materials strongly depends on the architecture of the reinforcement, particularly in complex structures such as 2.5D interlock fabrics. While numerous optimization approaches have been developed for composite materials, most studies focus on parameter optimization within...
Mohamad Abbas Kaddaha, Rafic Younes, P. Lafon· Journal of composite materia...· 0 citations
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