Concepedia

Compatibility Conditions

Compatibility Conditions is a mathematical framework in continuum mechanics that enforces the requirement that deformations be continuous and single-valued by ensuring that the strain field derives from a unique displacement field, thereby avoiding gaps or overlaps in the material body.

359

Publications

15.9K

Citations

753

Authors

423

Institutions

Publications per year

2017–2026

59

Parents

Publications

359

The force on an elastic singularity

J. D. Eshelby · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1951 · 1.2K citations

, , +15

Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization

John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 1982 · 851 citations

, , +15

A solution method for planar and axisymmetric contact problems

Klaus‐Jürgen Bathe, Anil Chaudhary · International Journal for Numerical Methods in Engineering · 1985 · 492 citations

, , +16

The TUBA Family of Plate Elements for the Matrix Displacement Method

John Argyris, Isaac Fried, D. W. Scharpf · The Aeronautical Journal · 1968 · 466 citations

, , +16

Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect

R. A. Toupin, Barry Bernstein · The Journal of the Acoustical Society of America · 1961 · 440 citations

, , +16

1–5 of 359

Authors

753

  1. FT
    Francesco Tornabene

    University of Bologna, Italy

    5 publications · 279 citations

    5

    h-index

  2. KT
    Keivan Torabi

    University of Kashan, Iran

    4 publications · 87 citations

    4

    h-index

  3. NF
    Nicholas Fantuzzi

    University of Bologna, Italy

    4 publications · 245 citations

    4

    h-index

  4. AW
    Abdul‐Majid Wazwaz

    Saint Xavier University, United States

    4 publications · 131 citations

    4

    h-index

  5. SP
    S.N. Patnaik

    Glenn Research Center, United States

    4 publications · 78 citations

    4

    h-index

1–5 of 753

Institutions

423

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    19 publications

    749 citations

  2. Politecnico di Milano

    Milan, Italy

    7 h-index

    9 publications

    490 citations

  3. Glenn Research Center

    Cleveland, United States

    6 h-index

    9 publications

    165 citations

  4. Nanyang Technological University

    Singapore, Singapore

    5 h-index

    7 publications

    152 citations

  5. Indian Institute of Science Bangalore

    Bengaluru, India

    5 h-index

    8 publications

    129 citations

  6. Johns Hopkins University

    Baltimore, United States

    5 h-index

    8 publications

    300 citations

  7. Imperial College London

    London, United Kingdom

    5 h-index

    7 publications

    1.6K citations

  8. University of Minnesota

    Minneapolis, United States

    4 h-index

    8 publications

    341 citations

1–8 of 423

Venues

  1. 11

    h-index

  2. AIAA Journal

    10 publications · 328 citations

    10

    h-index

  3. Journal of Structural Engineering

    9 publications · 362 citations

    9

    h-index

  4. Journal of Mathematical Physics

    8 publications · 326 citations

    8

    h-index

  5. SIAM Journal on Numerical Analysis

    7 publications · 1.1K citations

    7

    h-index

1–5