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Nonlocal and gradient elasticity in micro/nano structures

Nonlocal and gradient elasticity in micro/nano structures is a research topic within Materials Chemistry. Science Explorer counts 10k research works in it since 1959. 21.6% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the application of nonlocal continuum mechanics, strain gradient theory, and microstructure-dependent models to analyze the behavior of nanoscale materials. It explores the effects of flexoelectricity, surface tension, and size-dependence on the elasticity, plasticity, and wave propagation in functionally graded beams and other nanoscale structures.

  • Nonlocal Continuum Mechanics
  • Strain Gradient Theory
  • Nanoscale Materials
  • Flexoelectric Effect
  • Surface Effects
  • Functionally Graded Beams
  • Size-dependent Behavior
  • Elasticity and Plasticity
  • Wave Propagation
  • Microstructure-dependent Models
Research works
10k
fractional, since 1959
In the world top 10%
2.2k
per year above
Top-10% rate
21.6%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+39%
the tick is no change

Which countries lead Nonlocal and gradient elasticity in micro/nano structures research?

By volume, China and India publish the most (584 and 213 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 584 works
  2. 2 India 213 works
  3. 3 Iran 200 works
  4. 4 United States 118 works
  5. 5 Vietnam 98 works
  6. 6 Türkiye 97 works
  7. 7 Italy 95 works
  8. 8 Russia 76 works
  9. 9 Saudi Arabia 70 works
  10. 10 Germany 64 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: 36.2%India: 13.2%Iran: 12.4%United States: 7.3%6 others listed: 31.0%36%largest
China584 · 36.2%India213 · 13.2%Iran200 · 12.4%United States118 · 7.3%6 others listed500 · 31.0%

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

Which institutions lead Nonlocal and gradient elasticity in micro/nano structures research?

By volume in 2022–2025, Nanjing University of Aeronautics and Astronautics publishes the most Nonlocal and gradient elasticity in micro/nano structures research, followed by Xi'an Jiaotong University and Lanzhou University of Technology.

Who are the leading researchers in Nonlocal and gradient elasticity in micro/nano structures?

The most-cited researchers publishing on Nonlocal and gradient elasticity in micro/nano structures include J. N. Reddy, Zdeněk P. Bažant and Timon Rabczuk.

  1. 1 J. N. Reddy United States 2.9k citations
  2. 2 Zdeněk P. Bažant United States 2.8k citations
  3. 3 Timon Rabczuk Germany 2.7k citations
  4. 4 L. E. Cross United States 2.4k citations
  5. 5 Aibing Yu Australia 2.2k citations
  6. 6 Ji‐Huan He China 2.2k citations
  7. 7 N.A. Fleck United Kingdom 2.1k citations
  8. 8 K.M. Liew Hong Kong 2.1k citations

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

Where is Nonlocal and gradient elasticity in micro/nano structures research done?

The largest centres of Nonlocal and gradient elasticity in micro/nano structures research in 2022–2025 are Beijing (China), Tehran (Iran), Hanoi (Vietnam) and Nanjing (China).

Largest cities, 2022–2025

  1. 1 Beijing China 73 works
  2. 2 Tehran Iran 62 works
  3. 3 Hanoi Vietnam 60 works
  4. 4 Nanjing China 58 works
  5. 5 Xi'an China 45 works
  6. 6 Moscow Russia 35 works
  7. 7 Ho Chi Minh City Vietnam 29 works
  8. 8 Shanghai China 27 works
  9. 9 Wuhan China 27 works
  10. 10 Lanzhou China 26 works
See Nonlocal and gradient elasticity in micro/nano structures on the map

Where is the best place to study Nonlocal and gradient elasticity in micro/nano structures?

Among universities, judged by research, Karabük University, Nanjing University of Aeronautics and Astronautics and Shahrekord University 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%25%50%75%mean 25.35%fractional works in this node (log) →share in the world top 10% →Karabük University: 15, 64.6%Nanjing University of Aeronautics and Astronautics: 31, 7.8%Shahrekord University: 14, 24.9%Jouf University: 14, 26.2%King Abdulaziz University: 11, 18.5%Le Quy Don Technical University: 15, 34.0%Istanbul Technical University: 13, 15.5%University of Kashan: 11, 32.4%Bursa Uludağ Üni̇versi̇tesi̇: 17, 21.0%Lanzhou University of Technology: 19, 8.6%Karabük UniversityJouf UniversityShahrekord UniversityNanjing University o…
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 Karabük UniversityTürkiye 71.764.6%43.4×15
2 Nanjing University of Aeronautics and AstronauticsChina 62.27.8%16.7×31 +162.2%
3 Shahrekord UniversityIran 61.524.9%120.5×14 +510.7%
4 Jouf UniversitySaudi Arabia 60.626.2%48.7×14
5 King Abdulaziz UniversitySaudi Arabia 60.018.5%10.0×11 +303.7%
6 Le Quy Don Technical UniversityVietnam 58.034.0%126.9×15
7 Istanbul Technical UniversityTürkiye 56.315.5%17.2×13 +215.6%
8 University of KashanIran 53.732.4%76.5×11 +74.6%
9 Bursa Uludağ Üni̇versi̇tesi̇Türkiye 51.921.0%30.1×17
10 Lanzhou University of TechnologyChina 51.58.6%27.9×19 +114.4%

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 Nonlocal and gradient elasticity in micro/nano structures research growing?

Output in 2018–2022 was 39% higher than in 2013–2017, peaking in 2026. The fastest-growing topics are Nonlocal and gradient elasticity in micro/nano structures.

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.