Optimizing Computational Efficiency in TPMS Structural Design through Surrogate Modeling

This paper introduces a surrogate modeling approach for simulating Triply Periodic Minimal Surfaces (TPMS), which can be used in various engineering applications due to their unique geometric, mechanical properties and light weight properties as a second hierarchy level below the component design level. The detailed finite element analysis of theses structure in components, require inten- sive computational resources due to the complex geometries of TPMS. To address these challenges, we propose a surrogate model that simplifies the geometric and mechanical representation of TPMS, enabling more effcient simulations without compromising accuracy. This model was validated against experimental data from bending tests performed on TPMS structures fabricated using additive manufac- turing techniques. The surrogate model demonstrated excellent agreement with experimental results, offering a promising tool for the rapid and effcient design of TPMS-based components. The model’s utility is underscored by its application in predicting the mechanical behavior of TPMS structures under various loading conditions, confirming its potential for broader adoption in engineering design processes.