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Topic · Biomedical Engineering

Elasticity and Material Modeling

Elasticity and Material Modeling is a research topic within Biomedical Engineering. Science Explorer counts 26k 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 biomechanical modeling of arterial tissues, including hyperelastic modeling, collagen fiber orientation, constitutive models, vascular mechanics, tissue growth and remodeling, viscoelastic properties, finite element analysis, and mechanical characterization. The research covers a wide range of topics related to the mechanical behavior and modeling of arterial tissues in health and disease.

  • Arterial Biomechanics
  • Hyperelastic Modeling
  • Collagen Fiber Orientation
  • Constitutive Models
  • Vascular Mechanics
  • Tissue Growth and Remodeling
  • Viscoelastic Properties
  • Finite Element Analysis
  • Mechanical Characterization
  • Elasticity Tensor
Research works
26k
fractional, since 1950
In the world top 10%
2.6k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+6%
the tick is no change
Largest producer
China
25% of the 10 largest, 2022-now
Elasticity and Material Modeling

Which countries lead Elasticity and Material Modeling research?

By volume, China and the United States publish the most (682 and 680 works in 2022-now).

By volume, 2022-now

  1. 1 China 682 works
  2. 2 United States 680 works
  3. 3 Germany 302 works
  4. 4 France 243 works
  5. 5 Italy 188 works
  6. 6 India 165 works
  7. 7 United Kingdom 156 works
  8. 8 Japan 127 works
  9. 9 Russia 127 works
  10. 10 Iran 94 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: 24.7%United States: 24.6%Germany: 10.9%France: 8.8%6 others listed: 31.0%25%largest
China682 · 24.7%United States680 · 24.6%Germany302 · 10.9%France243 · 8.8%6 others listed857 · 31.0%

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

Which institutions lead Elasticity and Material Modeling research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Elasticity and Material Modeling research, followed by Russian Academy of Sciences and RWTH Aachen University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 97 works
  2. 2 Russian Academy of SciencesRussia 45 works
  3. 3 RWTH Aachen UniversityGermany 24 works
  4. 4 Chinese Academy of SciencesChina 21 works
  5. 5 Zhejiang UniversityChina 20 works
  6. 6 Politecnico di MilanoItaly 18 works
  7. 7 Stanford UniversityUnited States 18 works
  8. 8 Harbin Institute of TechnologyChina 17 works
  9. 9 Shanghai Jiao Tong UniversityChina 17 works
  10. 10 Friedrich-Alexander-Universität Erlangen-NürnbergGermany 17 works

Who are the leading researchers in Elasticity and Material Modeling?

The most-cited researchers publishing on Elasticity and Material Modeling include Emelia J. Benjamin, Victoria Delgado and Patrizio Lancellotti.

  1. 1 Emelia J. Benjamin United States 341k citations
  2. 2 Victoria Delgado Netherlands 269k citations
  3. 3 Patrizio Lancellotti Belgium 245k citations
  4. 4 Jeroen Joost Bax Netherlands 229k citations
  5. 5 A. Meyer France 224k 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 Material Modeling?

The most cited paper in Elasticity and Material Modeling is "Elastic Properties of Lipid Bilayers: Theory and Possible Experiments" (W. Helfrich, 1973), with 6,290 citations. Next come "A generalized dynamical theory of thermoelasticity" (4,485) and "Microstructural and Physiological Features of Tissues Elucidated by Quantitative-Diffusion-Tensor MRI" (4,372).

Most cited papers
#PaperReleasedCitations
1 Elastic Properties of Lipid Bilayers: Theory and Possible Experiments W. Helfrich · Zeitschrift für Naturforschung C Open access Dec 1973 6,290
2 A generalized dynamical theory of thermoelasticity H. W. Lord, Yechiel Shulman · Journal of the Mechanics and Physics of Solids Sep 1967 4,485
3 Microstructural and Physiological Features of Tissues Elucidated by Quantitative-Diffusion-Tensor MRI Peter J. Basser, Carlo M. Pierpaoli · Journal of Magnetic Resonance Series B Jun 1996 4,372
4 Reformulation of elasticity theory for discontinuities and long-range forces Stewart A. Silling · Journal of the Mechanics and Physics of Solids 2000 4,276
5 The Physics of Rubber Elasticity Leslie R. G. Treloar, D. J. Montgomery · Physics Today Feb 1959 3,802
All 100 most cited papers, with filters and sorting

Where is Elasticity and Material Modeling research done?

The largest centres of Elasticity and Material Modeling research in 2022-now are Beijing (China), Paris (France), Shanghai (China) and Tehran (Iran). Among places with at least 20 works in it, it is an unusually large share of all research in Aachen.

Largest cities, 2022-now

  1. 1 BeijingChina 122 works
  2. 2 ParisFrance 73 works
  3. 3 ShanghaiChina 62 works
  4. 4 TehranIran 51 works
  5. 5 MoscowRussia 50 works
  6. 6 Xi'anChina 40 works
  7. 7 NanjingChina 37 works
  8. 8 LondonUnited Kingdom 36 works
  9. 9 HangzhouChina 31 works
  10. 10 TokyoJapan 31 works

Where it is the local speciality

  1. AachenDE · 25.6 works7.7×
← less than its size predicts1×more →

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

See Elasticity and Material Modeling on the map

Where is the best place to study Elasticity and Material Modeling?

Among universities, judged by research, Stanford University, ETH Zurich and Friedrich-Alexander-Universität Erlangen-Nürnberg 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%mean 22.71%fractional works in this field (log) →share of work in the world top 10% →Stanford UniversityETH ZurichFriedrich-Alexander-…Politecnico di Milano
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
1Stanford UniversityUnited States 81.028.9%3.7×18 +26.9%
2ETH ZurichSwitzerland 67.923.3%5.7×13 +22.7%
3Friedrich-Alexander-Universität Erlangen-NürnbergGermany 67.320.7%8.9×17 +38.3%
4Politecnico di MilanoItaly 66.217.8%7.8×18 +19.5%
5The University of Texas at AustinUnited States 66.028.0%5.6×15 +39.0%
6RWTH Aachen UniversityGermany 65.914.9%9.6×24 +9.6%
7Graz University of TechnologyAustria 65.624.7%16.4×10 -4.3%
8Zhejiang UniversityChina 63.720.4%2.3×20 +90.4%
9Norwegian University of Science and TechnologyNorway 62.025.6%5.6×10 +15.1%
10University of GlasgowUnited Kingdom 60.722.8%6.7×14 -5.3%

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 Material Modeling, country by country

Is Elasticity and Material Modeling research growing?

Output in 2022-2025 was 6% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Elasticity and Material Modeling.

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 Material Modeling as a percentage of every work published that year, 0.014% in 2024.

still counting0.020%0.040%0.060%Elasticity and Material Modeling0.016% in 202519801990200020102020

Fractional works of Elasticity and Material Modeling 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 Material Modeling9.9% 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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