Concepedia

Hereditary Integral Formulation

Hereditary Integral Formulation is a mathematical framework in viscoelasticity that models the stress response of materials as a time-integral of past strain histories weighted by a relaxation function, distinguishing it from instantaneous elasticity by incorporating temporal memory effects.

29

Publications

895

Citations

65

Authors

32

Institutions

Publications per year

2017–2026

6

Parents

Publications

29

Determining a Prony Series for a Viscoelastic Material From Time Varying Strain Data

Tzi-Kang Chen · NASA Technical Reports Server (NASA) · 2000 · 135 citations · Full text

, , +17

Semi-Analytical Viscoelastic Contact Modeling of Polymer-Based Materials

Wei Chen, Q. Jane Wang, Zhijie Huan et al. · Journal of Tribology · 2011 · 89 citations

, , +17

Response functions in linear viscoelastic constitutive equations and related fractional operators

Jordan Hristov · Mathematical Modelling of Natural Phenomena · 2019 · 69 citations

, , +17

A general hereditary multimechanism-based deformation model with application to the viscoelastoplastic response of titanium alloys

A. F. Saleeb, Steven M. Arnold, Michael G. Castelli et al. · International Journal of Plasticity · 2001 · 67 citations

, , +15

Dynamic Viscoelastic Analysis of Asphalt Pavements using a Finite Element Formulation

Pedro Custódio de Araújo, Jorge Barbosa Soares, Áurea Silva de Holanda et al. · Road Materials and Pavement Design · 2010 · 44 citations

, , +17

1–5 of 29

Authors

65

  1. SS
    Simon Shaw

    Brunel University of London, United Kingdom

    3 publications · 59 citations

    3

    h-index

  2. MW
    M.K. Warby

    Brunel University of London, United Kingdom

    2 publications · 40 citations

    2

    h-index

  3. JR
    J. R. Whiteman

    Brunel University of London, United Kingdom

    2 publications · 40 citations

    2

    h-index

  4. AF
    A. F. Saleeb

    University of Akron, United States

    2 publications · 83 citations

    2

    h-index

  5. SM
    Steven M. Arnold

    Glenn Research Center, United States

    2 publications · 83 citations

    2

    h-index

1–5 of 65

Institutions

32

  1. University of Akron

    Akron, United States

    3 h-index

    5 publications

    247 citations

  2. Case Western Reserve University

    Cleveland, United States

    2 h-index

    4 publications

    74 citations

  3. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    4 publications

    74 citations

  4. Glenn Research Center

    Cleveland, United States

    2 h-index

    2 publications

    83 citations

  5. National Aeronautics and Space Administration

    Washington, United States

    2 h-index

    2 publications

    83 citations

  6. University of British Columbia

    Vancouver, Canada

    1 h-index

    3 publications

    93 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    1 h-index

    2 publications

    30 citations

  8. Nara Women's University

    Nara, Japan

    1 h-index

    2 publications

    38 citations

1–8 of 32

Venues

  1. 2

    h-index

  2. Tire Science and Technology

    1 publications · 30 citations

    1

    h-index

  3. Journal of Tribology

    1 publications · 89 citations

    1

    h-index

  4. Advances in Numerical Analysis

    1 publications · 19 citations

    1

    h-index

  5. Textile Research Journal

    1 publications · 19 citations

    1

    h-index

1–5