Efficient Analysis and Topology Optimization of Frame Structures With Tension‐Compression Asymmetry

作者：Zhiang Xu, Yue Mei, Zongliang Du, Xu Guo · 发表于：International Journal for Numerical Methods in Engineering · 年份：2025 · DOI：10.1002/nme.70182 · 被引用次数：1 · 研究领域：Topology Optimization in Engineering、Composite Structure Analysis and Optimization、Aeroelasticity and Vibration Control

ABSTRACT Tension‐compression asymmetry (TCA) significantly influences the mechanical behavior and optimal designs, ranging from concrete to advanced composites. This study develops bi‐modulus Euler‐Bernoulli beam element formulations employing the integration of cross‐sectional constitutive relations, according to the partitioning of tension and compression states. Both displacement‐based and force‐based elements are formulated, with the latter accurately capturing the neutral surface. An analysis framework for bi‐modulus frame structures is then proposed, enabling stable and efficient solutions for large‐scale problems with a wide‐range TCA. Numerical examples confirm the significant influence of TCA on structural responses and validate the proposed framework. Furthermore, a ground‐structure‐based optimization procedure is presented for single‐ and two‐phase bi‐modulus frame structures, revealing how TCA profoundly impacts optimal designs. These findings highlight the consideration of TCA for more efficient material utilization and novel structural designs, providing valuable insights for future engineering applications.