journal article·2026-02-04

Review on Data‐ and Mathematics‐Driven Optimization for Metamaterial Lattice Structures

Shengyu Ni, Xinyi Chen, Hao Wu, Xiangrong Xu, Yifei Qian, Fenling Wang, Tianjian Wang, Liming Lei, Hong Zhang

Advanced Engineering Materials· Volume 28· Issue 3
Publisher page

Abstract

Lattice structures, as pivotal constituents of metamaterials, receive extensive utilization in emerging engineering domains like aerospace, automotive, and biomedicine due to their distinctive mechanical properties. However, stringent engineering requirements necessitate the further optimization of the structures. In recent years, numerous inverse design methodologies oriented toward targeted performance and seeking optimal solutions have been reported which can be theoretically divided into data‐driven and mathematics‐driven strategies. This review presents lattice structures classified by Poisson's ratio and introduces inverse design methodologies at two distinct scales. Data‐driven strategies represented by artificial intelligence and mathematics‐driven strategies represented by topology optimization receive equal attention, and their characteristics are evaluated objectively, while their advantages and limitations are systematically compared. Concurrently, integration and collaboration between the two strategies are focused, resulting in the development of three hybrid optimization frameworks and one modular two‐scale design approach, whose engineering applicability is discussed. Finally, the current limitations and future opportunities for lattice structure design are summarized. This work places both strategies within a single discourse for the first time, guiding their selection, application, and integration and thereby exerts a forward‐looking influence on the evolution of design methodology.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Topology Optimization in Engineering · Cellular and Composite Structures · Advanced Multi-Objective Optimization Algorithms

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Failure Mechanics and Engineering Disaster Prevention Key Laboratory of Sichuan Province College of Architecture and Environment Sichuan University Chengdu 610065 China

Key Laboratory of Deep Underground Science and Engineering Ministry of Education Sichuan University Chengdu 610065 China

State Key Laboratory of Clean and Efficient Turbomachinery Power Equipment Deyang 618000 China

Dongfang Electric Corporation Dongfang Turbine Co., Ltd. Deyang 618000 China

TaiHang Laboratory No. 619, Jicui Street, Tianfu New District Chengdu 610213 China

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