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Topic · Mechanics of Materials

Elasticity and Wave Propagation

Elasticity and Wave Propagation is a research topic within Mechanics of Materials. Science Explorer counts 17k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the mechanics and fracture behavior of nanomaterials and composites, including the use of wavelets for solution of nonlinear PDEs, development of mechanical models, review of fracture in viscoelastic materials, and analysis of elastic wave propagation. It also explores the influence of third order elastic constants, establishment of fundamentals in nanocomposite mechanics, and the study of microdamage in these materials.

  • Nanomaterials
  • Mechanics
  • Fracture
  • Wavelets
  • Composite Materials
  • Nonlinear PDE
  • Viscoelasticity
  • Microdamage
  • Elastic Waves
  • Stress Analysis
Research works
17k
fractional, since 1950
In the world top 10%
1.7k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+8%
the tick is no change
Largest producer
Russia
38% of the 10 largest, 2022-now
Elasticity and Wave Propagation

Which countries lead Elasticity and Wave Propagation research?

By volume, Russia and China publish the most (579 and 270 works in 2022-now).

By volume, 2022-now

  1. 1 Russia 579 works
  2. 2 China 270 works
  3. 3 Ukraine 170 works
  4. 4 United States 153 works
  5. 5 India 136 works
  6. 6 Italy 54 works
  7. 7 Germany 52 works
  8. 8 Uzbekistan 48 works
  9. 9 France 44 works
  10. 10 Egypt 36 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.

Russia: 37.5%China: 17.5%Ukraine: 11.0%United States: 9.9%6 others listed: 24.0%38%largest
Russia579 · 37.5%China270 · 17.5%Ukraine170 · 11.0%United States153 · 9.9%6 others listed370 · 24.0%

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

Which institutions lead Elasticity and Wave Propagation research?

By volume in 2022-now, Russian Academy of Sciences publishes the most Elasticity and Wave Propagation research, followed by National Academy of Sciences of Ukraine and Lomonosov Moscow State University.

By volume, 2022-now

  1. 1 Russian Academy of SciencesRussia 189 works
  2. 2 National Academy of Sciences of UkraineUkraine 80 works
  3. 3 Lomonosov Moscow State UniversityRussia 57 works
  4. 4 Moscow Aviation InstituteRussia 27 works
  5. 5 Centre National de la Recherche ScientifiqueFrance 17 works
  6. 6 Southern Federal UniversityRussia 15 works
  7. 7 St Petersburg UniversityRussia 14 works
  8. 8 Bauman Moscow State Technical UniversityRussia 13 works
  9. 9 Weatherford CollegeUnited States 13 works
  10. 10 Moscow State UniversityTajikistan 13 works

Who are the leading researchers in Elasticity and Wave Propagation?

The most-cited researchers publishing on Elasticity and Wave Propagation include Lei Jiang.

  1. 1 Lei Jiang China 214k citations

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

What are the most cited papers in Elasticity and Wave Propagation?

The most cited paper in Elasticity and Wave Propagation is "Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates" (R. D. Mindlin, 1951), with 5,072 citations. Next come "Reformulation of elasticity theory for discontinuities and long-range forces" (4,276) and "Wave Propagation in Elastic Solids" (4,036).

Most cited papers
#PaperReleasedCitations
1 Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates R. D. Mindlin · Journal of Applied Mechanics Mar 1951 5,072
2 Reformulation of elasticity theory for discontinuities and long-range forces Stewart A. Silling · Journal of the Mechanics and Physics of Solids 2000 4,276
3 Wave Propagation in Elastic Solids J. D. Achenbach, Stephen A. Thau · Journal of Applied Mechanics Jun 1974 4,036
4 Mechanics of Deformation and Acoustic Propagation in Porous Media M. A. Biot · Journal of Applied Physics Open access Apr 1962 3,959
5 Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Holger Wendland · Advances in Computational Mathematics Dec 1995 3,058
All 99 most cited papers, with filters and sorting

Where is Elasticity and Wave Propagation research done?

The largest centres of Elasticity and Wave Propagation research in 2022-now are Moscow (Russia), Kyiv (Ukraine), Saint Petersburg (Russia) and Beijing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Rostov-on-Don and Lviv.

Largest cities, 2022-now

  1. 1 MoscowRussia 246 works
  2. 2 KyivUkraine 76 works
  3. 3 Saint PetersburgRussia 57 works
  4. 4 BeijingChina 41 works
  5. 5 NovosibirskRussia 31 works
  6. 6 TashkentUzbekistan 26 works
  7. 7 Rostov-on-DonRussia 23 works
  8. 8 LvivUkraine 23 works
  9. 9 Kazan’Russia 21 works
  10. 10 BakuAzerbaijan 18 works

Where it is the local speciality

  1. Rostov-on-DonRU · 23.4 works24×
  2. LvivUA · 22.7 works16×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Elasticity and Wave Propagation than the world average.

See Elasticity and Wave Propagation on the map

Where is the best place to study Elasticity and Wave Propagation?

Among universities, judged by research, Moscow Aviation Institute, Moscow State University and Weatherford College 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%5%10%mean 3.64444%fractional works in this field (log) →share of work in the world top 10% →Moscow Aviation Inst…Weatherford CollegeMoscow State Univers…Lomonosov Moscow Sta…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Moscow Aviation InstituteRussia 71.611.0%95.7×27 -7.9%
2Moscow State UniversityTajikistan 59.43.8%26.1×13 +132.3%
3Weatherford CollegeUnited States 56.69.3%5.3×13 +98.3%
4Lomonosov Moscow State UniversityRussia 54.91.4%36.5×57 -13.6%
5Moscow State University of Civil EngineeringRussia 44.94.2%50.0×12 +54.9%
6Southern Federal UniversityRussia 36.91.9%47.5×15 -20.4%
7St Petersburg UniversityRussia 25.70.8%16.2×14 -49.9%
8Bauman Moscow State Technical UniversityRussia 20.10.0%38.5×13 -55.0%
9Tula State UniversityRussia 10.00.4%139.3×8 -21.6%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Elasticity and Wave Propagation, country by country

Is Elasticity and Wave Propagation research growing?

Output in 2022-2025 was 8% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Elasticity and Wave Propagation.

still counting19801990200020102020
grewheldshrank

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

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Elasticity and Wave Propagation as a percentage of every work published that year, 0.011% in 2024.

still counting0.025%0.050%0.075%Elasticity and Wave Propagation0.0100% in 202519801990200020102020

Fractional works of Elasticity and Wave Propagation over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Elasticity and Wave Propagation10.0% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

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.

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