Shape memory polymers (SMPs) are a promising class of intelligent polymer materials that have the ability to recover the permanent shape in a predefined way from the temporary shape in response to external stimuli. SMPs have become a new hot spot in the field of smart materials and have shown many potential applications in various fields, such as smart textile materials, biomedical materials, aerospace technology, and so on. In order to better utilize SMPs in these fields, high recovery rate and fixed rate, excellent mechanical properties, fast response speed, and good adjustable performance are required. Generally, the properties are mainly determined by the intrinsic structure, and the design of SMPs with novel structure has become a worthy topic. In this review, the progress in SMPs design based on the network structure is summarized systematically, including the relationship between their structure and properties, characteristics and potential applications, focusing on the design of SMP materials with interpenetrating network structure, AB network structure, homogenous network structure, topological structure of interlocked network. Finally, the future developments and applications of SMPs with the network structure are prospected.

Contents
1 Introduction
2 Design of SMPs based on interpenetrating network structure
3 Design of SMPs based on AB network structure
4 Design of SMPs based on homogenous network structure
4.1 Design of SMPs based on homogenous network with star structure
4.2 Design of SMPs based on homogenous network structure with nanoparticle netpoints
5 Design of SMPs based on topological structure of interlocked network
6 Conclusion and outlook