Concepedia

Gradient Continuum Mechanics

Gradient Continuum Mechanics is a higher-order continuum theory that extends classical continuum mechanics by incorporating spatial gradients of strain or internal variables into the constitutive equations to account for size-dependent mechanical behavior observed at micro- and nano-scales.

130

Publications

9.2K

Citations

236

Authors

180

Institutions

Publications per year

2017–2026

32

Variants

Strain Gradient Continuum Mechanics

Parents

Publications

130

On Some Aspects in the Special Theory of Gradient Elasticity

Burhanettin S. Altan, Elias C. Aifantis · Journal of the Mechanical Behavior of Materials · 1997 · 472 citations · Full text

, , +12

At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

Francesco dell’Isola, Ugo Andreaus, Luca Placidi · Mathematics and Mechanics of Solids · 2014 · 464 citations · Full text

, , +7

Analytical continuum mechanics <i>à la</i> Hamilton–Piola least action principle for second gradient continua and capillary fluids

Nicolas Auffray, Francesco dell’Isola, Angela Madeo et al. · Mathematics and Mechanics of Solids · 2013 · 247 citations

, , +16

Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

Francesco dell’Isola, Alessandro Della Corte, Ivan Giorgio · Mathematics and Mechanics of Solids · 2016 · 239 citations · Full text

, , +17

Thermodynamics applied to gradient theories involving the accumulated plastic strain: The theories of Aifantis and Fleck and Hutchinson and their generalization

Morton E. Gurtin, Lallit Anand · Journal of the Mechanics and Physics of Solids · 2008 · 234 citations

, , +14

1–5 of 130

Authors

236

  1. EC
    Elias C. Aifantis

    Michigan Technological University, United States

    11 publications · 1K citations

    11

    h-index

  2. FD
    Francesco dell’Isola

    Sapienza University of Rome, Italy

    9 publications · 1.6K citations

    9

    h-index

  3. VE
    Vasily E. Tarasov

    Lomonosov Moscow State University, Russia

    8 publications · 309 citations

    8

    h-index

  4. HA
    Harm Askes

    University of Sheffield, United Kingdom

    7 publications · 469 citations

    7

    h-index

  5. JG
    Jean‐François Ganghoffer

    Université de Lorraine, France

    6 publications · 373 citations

    6

    h-index

1–5 of 236

Institutions

180

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    26 publications

    1.7K citations

  2. University of L'Aquila

    L’Aquila, Italy

    11 h-index

    19 publications

    2K citations

  3. Lomonosov Moscow State University

    Moscow, Russia

    10 h-index

    10 publications

    326 citations

  4. Aristotle University of Thessaloniki

    Thessaloniki, Greece

    9 h-index

    9 publications

    429 citations

  5. Sapienza University of Rome

    Rome, Italy

    9 h-index

    11 publications

    2.2K citations

  6. Michigan Technological University

    Houghton, United States

    8 h-index

    9 publications

    470 citations

  7. Carnegie Mellon University

    Pittsburgh, United States

    6 h-index

    6 publications

    522 citations

  8. Université de Lorraine

    Nancy, France

    6 h-index

    11 publications

    684 citations

1–8 of 180

Venues

  1. International Journal of Solids and Structures

    13 publications · 959 citations

    13

    h-index

  2. Mathematics and Mechanics of Solids

    MMS · 8 publications · 1.2K citations

    8

    h-index

  3. Journal of the Mechanics and Physics of Solids

    8 publications · 916 citations

    8

    h-index

  4. European Journal of Mechanics - A/Solids

    EJM · 7 publications · 616 citations

    7

    h-index

  5. Mechanics Research Communications

    5 publications · 404 citations

    5

    h-index

1–5