Multimaterial Topology Optimization using SIMP, DMO, and gSF: A comparative study with Honeycomb tessellations

📅 2026-09-22
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本文通过比较SIMP、DMO和gSF方法,研究了多材料拓扑优化问题,并使用六边形元素参数化设计域以减少网格效应。
📝 Abstract
This paper presents a comparative study of multimaterial topology optimization (MMTO) using the extended SIMP, Discrete Ma- terial Optimization (DMO), and generalized shape functions (gSF) ap- proaches. The design domain is parametrized using hexagonal elements. Each element has six neighboring elements, thereby improving element connectivity and yielding a relatively uniform local mesh structure. This characteristic reduces mesh-related effects on the optimized designs com- pared with conventional triangular and quadrilateral discretizations. Struc- tural compliance is minimized at the prescribed volume fractions. The optimization is performed using the method of moving asymptotes. The resulting optimized topologies are compared in terms of material distri- bution, structural performance, convergence behavior, and the character- istics of the obtained material interfaces. The comparative investigation provides insights into the working principles and performance of the ex- tended SIMP, DMO, and gSF interpolation schemes for MMTO.
Problem

Research questions and friction points this paper is trying to address.

multimaterial topology optimization
honeycomb tessellations
comparative study
Innovation

Methods, ideas, or system contributions that make the work stand out.

multimaterial topology optimization
SIMP
DMO
generalized shape functions
honeycomb tessellations
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