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Topology Optimization in Engineering

Topology Optimization in Engineering is a research topic within Civil and Structural Engineering. Science Explorer counts 19k research works in it since 1950. 21.8% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the application of topology optimization in structural engineering, utilizing methods such as level set, sensitivity analysis, and morphology-based filters. It explores topics such as non-linear elastic structures, compliant mechanisms, additive manufacturing, and multi-material optimization using finite element methods and metaheuristic algorithms.

  • Level Set Method
  • Sensitivity Analysis
  • Structural Boundary Design
  • Morphology-based Filters
  • Non-linear Elastic Structures
  • Compliant Mechanisms
  • Additive Manufacturing
  • Multi-material Optimization
  • Finite Element Method
  • Metaheuristic Algorithms
Research works
19k
fractional, since 1950
In the world top 10%
4.1k
per year above
Top-10% rate
21.8%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+33%
the tick is no change

Which countries lead Topology Optimization in Engineering research?

By volume, China and the United States publish the most (1.3k and 341 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 1.3k works
  2. 2 United States 341 works
  3. 3 Japan 214 works
  4. 4 India 176 works
  5. 5 Germany 174 works
  6. 6 France 120 works
  7. 7 Italy 117 works
  8. 8 Türkiye 108 works
  9. 9 Brazil 102 works
  10. 10 Iran 98 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 47.8%United States: 12.3%Japan: 7.7%India: 6.3%6 others listed: 25.9%48%largest
China1,330 · 47.8%United States341 · 12.3%Japan214 · 7.7%India176 · 6.3%6 others listed719 · 25.9%

Shares of the rows listed above, not of the whole node.

Which institutions lead Topology Optimization in Engineering research?

By volume in 2022–2025, Dalian University of Technology publishes the most Topology Optimization in Engineering research, followed by Northwestern Polytechnical University and Huazhong University of Science and Technology.

Who are the leading researchers in Topology Optimization in Engineering?

The most-cited researchers publishing on Topology Optimization in Engineering include Kalyanmoy Deb, J. N. Reddy and Ole Sigmund.

  1. 1 Kalyanmoy Deb United States 6.7k citations
  2. 2 J. N. Reddy United States 2.9k citations
  3. 3 Ole Sigmund Denmark 2.9k citations
  4. 4 Carlos A. Coello Coello Mexico 2.7k citations
  5. 5 Ivo Babuška United States 2.7k citations
  6. 6 Qingfu Zhang Hong Kong 2.6k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Topology Optimization in Engineering research done?

The largest centres of Topology Optimization in Engineering research in 2022–2025 are Beijing (China), Xi'an (China), Dalian (China) and Wuhan (China). Among places with at least 20 works in it, it is an unusually large share of all research in Kongens Lyngby, Dalian and Nagoya.

Largest cities, 2022–2025

  1. 1 Beijing China 189 works
  2. 2 Xi'an China 115 works
  3. 3 Dalian China 100 works
  4. 4 Wuhan China 96 works
  5. 5 Shanghai China 87 works
  6. 6 Tokyo Japan 59 works
  7. 7 Nanjing China 56 works
  8. 8 Changsha China 56 works
  9. 9 Guangzhou China 53 works
  10. 10 Tehran Iran 46 works

Where it is the local speciality

  1. Kongens LyngbyDK · 22.1 works11×
  2. DalianCN · 100.2 works10×
  3. NagoyaJP · 30.9 works8.3×
  4. DelftNL · 22.6 works7.7×
← less than its size predictsmore →

Location quotient: how much more of its research is in Topology Optimization in Engineering than the world average.

See Topology Optimization in Engineering on the map

Where is the best place to study Topology Optimization in Engineering?

Among universities, judged by research, Sejong University, Huazhong University of Science and Technology and Dalian University of Technology score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%60%mean 30.89%fractional works in this node (log) →share in the world top 10% →Sejong University: 9, 47.8%Huazhong University of Science and Technology: 54, 29.0%Dalian University of Technology: 85, 22.3%RMIT University: 19, 33.8%Technical University of Denmark: 22, 26.0%Northwestern Polytechnical University: 56, 19.2%Toyota Technological Institute: 16, 30.4%Xi'an Jiaotong University: 24, 42.0%Beihang University: 29, 30.8%Hunan University: 19, 27.6%Sejong UniversityRMIT UniversityHuazhong University …Dalian University of…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Sejong UniversitySouth Korea 78.047.8%13.1×9 +285.5%
2 Huazhong University of Science and TechnologyChina 69.029.0%9.2×54 +123.3%
3 Dalian University of TechnologyChina 66.322.3%23.8×85 +41.1%
4 RMIT UniversityAustralia 65.633.8%14.5×19 -17.8%
5 Technical University of DenmarkDenmark 62.326.0%11.2×22 +37.9%
6 Northwestern Polytechnical UniversityChina 60.019.2%13.0×56 +23.8%
7 Toyota Technological InstituteJapan 56.230.4%201.1×16 +0.5%
8 Xi'an Jiaotong UniversityChina 55.642.0%4.0×24 +136.8%
9 Beihang UniversityChina 54.530.8%7.1×29 +60.3%
10 Hunan UniversityChina 54.027.6%7.4×19 +109.2%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Topology Optimization in Engineering research growing?

Output in 2018–2022 was 33% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Topology Optimization in Engineering.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.