Pai Liu

36 papers and 886 indexed citations
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About

Pai Liu is a scholar working on Civil and Structural Engineering, Mechanics of Materials and Health, Toxicology and Mutagenesis. According to data from OpenAlex, Pai Liu has authored 36 papers receiving a total of 886 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Civil and Structural Engineering, 12 papers in Mechanics of Materials and 9 papers in Health, Toxicology and Mutagenesis. Recurrent topics in Pai Liu’s work include Topology Optimization in Engineering (15 papers), Composite Structure Analysis and Optimization (12 papers) and Advanced Multi-Objective Optimization Algorithms (6 papers). Pai Liu is often cited by papers focused on Topology Optimization in Engineering (15 papers), Composite Structure Analysis and Optimization (12 papers) and Advanced Multi-Objective Optimization Algorithms (6 papers). Pai Liu collaborates with scholars based in China, United States and Netherlands. Pai Liu's co-authors include Zhan Kang, Yangjun Luo, Xiaopeng Zhang, Yang Song, Ming Li, Jian Xing, Wenjun Wu, Rajan K. Chakrabarty, Yi Yan and Yaguang Wang and has published in prestigious journals such as The Science of The Total Environment, Optics Express and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Co-authorship network of co-authors of Pai Liu

This figure shows the co-authorship network connecting the top 25 collaborators of Pai Liu. A scholar is included among the top collaborators of Pai Liu based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Pai Liu. Pai Liu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

Fields of papers citing papers by Pai Liu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Pai Liu. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Pai Liu. The network helps show where Pai Liu may publish in the future.

Countries citing papers authored by Pai Liu

Since Specialization
Citations

This map shows the geographic impact of Pai Liu's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Pai Liu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Pai Liu more than expected).

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar’s output or impact.

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2026