Concepedia

Constitutive Relations

Constitutive Relations is the material-specific mathematical relation that links stresses to strains (or internal forces to deformations) in a deformable body, thereby characterizing its mechanical response independently of equilibrium and kinematic compatibility conditions.

2.1K

Publications

157.4K

Citations

3.9K

Authors

1.1K

Institutions

Publications per year

2017–2026

386

Variants

Constitutive EquationsConstitutive Laws

Parents

Children

Publications

2.1K

A constitutive model and data for materials subjected to large strains, high strain rates, and high temperatures

Gordon R. Johnson · Medical Entomology and Zoology · 1983 · 3.9K citations

, , +17

A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials

Ellen M. Arruda, Mary C. Boyce · Journal of the Mechanics and Physics of Solids · 1993 · 3.2K citations · Full text

, , +16

Mathematical theory of elasticity

Choice Reviews Online · 2004 · 3.1K citations

, , +17

Effects of couple-stresses in linear elasticity

R. D. Mindlin, H. F. Tiersten · Archive for Rational Mechanics and Analysis · 1962 · 2.6K citations

, , +12

Peridynamic States and Constitutive Modeling

Stewart Silling, Michael A. Epton, Olaf Weckner et al. · Journal of Elasticity · 2007 · 2.4K citations

, , +10

1–5 of 2.1K

Authors

3.9K

  1. ΚR
    Κ. R. Rajagopal

    Texas A&M University, United States

    28 publications · 1.2K citations

    21

    h-index

  2. RB
    R. Bustamante

    University of Chile, Chile

    19 publications · 523 citations

    15

    h-index

  3. JM
    J. Merodio

    Universidad Politécnica de Madrid, Spain

    12 publications · 276 citations

    12

    h-index

  4. RW
    Ray W. Ogden

    University of Glasgow, United Kingdom

    12 publications · 1.1K citations

    12

    h-index

  5. CO
    Cornelius O. Horgan

    University of Virginia, United States

    11 publications · 658 citations

    11

    h-index

1–5 of 3.9K

Institutions

1.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    30 h-index

    133 publications

    6.7K citations

  2. Texas A&M University

    College Station, United States

    30 h-index

    93 publications

    4K citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    24 h-index

    45 publications

    14K citations

  4. University of California, Berkeley

    Berkeley, United States

    21 h-index

    48 publications

    4.6K citations

  5. Stanford University

    Stanford, United States

    20 h-index

    50 publications

    8.3K citations

  6. University of Cambridge

    Cambridge, United Kingdom

    19 h-index

    25 publications

    5K citations

  7. University of Michigan

    Ann Arbor, United States

    18 h-index

    42 publications

    3.3K citations

  8. Northwestern Polytechnical University

    Xi'an, China

    18 h-index

    75 publications

    3.6K citations

1–8 of 1.1K

Venues

  1. International Journal of Solids and Structures

    109 publications · 8.7K citations

    47

    h-index

  2. International Journal of Plasticity

    76 publications · 10K citations

    45

    h-index

  3. Journal of the Mechanics and Physics of Solids

    71 publications · 13K citations

    42

    h-index

  4. 34

    h-index

  5. Journal of Applied Mechanics

    57 publications · 7.1K citations

    29

    h-index

1–5