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THE MOST CITED SCIENTIFIC PAPERS IN SOLID AND COMPUTATIONAL MECHANICS

I posted this survey in Applied Mechanics Research and Researchers on 16 April 2006, based on a survey of Web of Science. A paper making the list satisfied the following conditions:

  • It is in the areas of solid mechanics, mechanics of materials, or computational mechanics, and
  • It has at least 1000 citations.

This list may not be complete. If anyone finds a missing entry, please leave a comment below.

The cited number has been updated up to 18 Dec. 2006.

  1. ESHELBY JD, The determination of the elastic field of an ellipsoidal inclusion, and related problems. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 241 (1226): 376-396, 1957. Times Cited: 3945
  2. WILLIAMS ML, Mechanical properties of substances of high molecular weight .19. The temperature dependence of relaxation mechanism in amorphous polymers and other glass-forming liquids. JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 77(14), 3701-3707, 1955. Times Cited: 3180
  3. GRIFFITH AA, The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society of London, Sereis A, 221:163-198, 1921. Times Cited: 2646
  4. MATTHEWS JW and BLAKESLEE AE, Defects and epitaxial multilayers: 1. Misfit dislocations. JOURNAL OF CRYSTAL GROWTH 27 (DEC): 118-125, 1974. Times Cited 2486
  5. RICE JR, A path independent integral and approximate analysis of strain concentration by notches and cracks, JOURNAL OF APPLIED MECHANICS 35 (2): 379-386, 1968. Times Cited: 2089
  6. JOHNSON KL, KENDALL K, ROBERTS AD
    SURFACE ENERGY AND CONTACT OF ELASTIC SOLIDS
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 324 (1558): 301& 1971 Times Cited: 1877
  7. Taylor GI, Plastic strain in metals. JOURNAL OF THE INSTITUTE OF METALS 62: 307-324, 1938. Times Cited: 1817
  8. DUGDALE DS, Yielding of steel sheets containing slits. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 8 (2): 100-104, 1960. Times Cited: 1746
  9. BIOT MA, Theory of propagation of elastic waves in a fluid-saturated porous solid. 1. Low-frequency range. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 28 (2): 168-178, 1956. Times Cited: 1737
  10. MINDLIN RD, Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 18 (1): 31-38, 1951. Times Cited: 1437
  11. Biot MA, General theory of three-dimensional consolidation. Source: JOURNAL OF APPLIED PHYSICS 12 (2): 155-164, FEB 1941. Times Cited: 1447
  12. GREENWOO.JA, WILLIAMS.JB
    CONTACT OF NOMINALLY FLAT SURFACES
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 295 (1442): 300& 1966 ,Times Cited: 1321

  13. ESHELBY JD, The continuum theory of lattice defects. SOLID STATE PHYSICS-ADVANCES IN RESEARCH AND APPLICATIONS 3: 79-144, 1956. Times Cited: 1223

  14. RICE JR, ROSENGRE GF, Plane strain deformation near a crack tip in a power-law hardening material. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 16 (1): 1-12, 1968. Times Cited: 1224

  15. HUTCHINSON JW, Singular behavior at end of a tensile crack in a hardening material. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 16 (1): 13-31, 1968. Times Cited: 1220

  16. MORI T, TANAKA K, Average stress in matrx and average elastic energy of materials with misfitting inclusions. ACTA METALLURGICA 21 (5): 571-574, 1973. Times Cited: 1270

  17. BROOKS AN, HUGHES TJR, Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 32 (1-3): 199-259, 1982. Times Cited: 1180

  18. RICE JR, TRACEY DM ON DUCTILE ENLARGEMENT OF VOIDS IN TRIAXIAL STRESS FIELDS JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 17 (3): 201& 1969 Times Cited: 1069.
  19. GURSON AL, Continuum theory of ductile rupture by void nucleation and growth, 1. Yield criteria and flow rules for porous ductile media. JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME 99 (1): 2-15, 1977. Times Cited: 1109

Comments

Konstantin Volokh's picture

Interesting list! Are not references 5, 16, 17 about fluids?

I am probably wrong but Hashin&Shtrickman's work on composites should be placed in the list too. Unfortunately, I cannot clarify that myself because my ISI access is limited.

(1) the reason for that is because we view G.I. Taylor as solid mechanician, maybe that is not true;

 

(2) We have checked that Hashing-Shtrikman's work have been cited well below 1000. 

Zhigang Suo's picture

Thank you so much for taking the time to do the survey, and to migrate this post from AMR.

It would be wonderful if another iMechanician will follow your lead and post the most cited papers published in last year, or last ten years, or last 20 years. It might give us some idea of contemporary and evolving interests in mechanics.

It would also be wonderful if someone passionate for a topic make a list of "must reads" on the topic. No doubt other iMechanicians will weigh in to suggest their favorites, as Kosta just did in his comment to your post.

Of course, this idea gets close to Pradeep's idea of the Journal Club, but it is less organized, and anyone can do it on impulse. Who knows? Maybe someone will have just created an excellent post, and possibly a forum of lasting value.

Pradeep Sharma's picture

Shaofan, this is an interesting post. Here is something that is related to your list. In connection with someones promotion case,  I recently found out about the so-called H-factor. This is a measure of "scientist quality" which is catching on in the physics and materials community--although personally I remain somewhat cynical about almost all measures.

Essentially this is an alternative to the "impact factor". A scientist or engineer has an H-factor of N if N of his/her publications have N or more citations. Bibiometric research has shown that this measure is a better indicator of an individuals impact than say total citations etc.

You can read more about it here which also has a list of H-factors for some prominent scientists and as well on Nature's coverage of it.

This same topic has come up here at Duke of late.  ISI (through Web of Knowledge) now includes the capability to calculate this for an author automatically. 

I think these metrics are just one piece of information that shed light into the quality/impact of someone's body of work.  I'm a little wary of them being weighted too heavily by administrators in promotion and hiring cases.    

 

Zhigang Suo's picture

A former colleague of mine, just as wary of these numbers as you are, once suggested that we weigh the papers each person has.  The number may not be more useless than any other such numbers, but perhaps less convenient in this age!

Pradeep Sharma's picture

iAs sometimes Lewis Wheeler points out to me, in the modern age, perhaps we can suggest to our beancounter admin friends to use the total number of megabytes of papers!

Mogadalai Gururajan's picture

Taylor appears thrice, while Eshelby, Rice, and Biot appear twice in the list--if the exact number of citations are counted, the order is still Taylor, Eshelby, Biot, and Rice. However, if we remove the papers on fluids which Prof. Konstantin pointed out, the order is reversed to Eshelby, Rice, Biot, Taylor... So, I guess, I will go with Prof. Konstantin with the following understanding--not that Taylor is less of a solid-mechanician, but, he is more of a continuum mechanician!

This year's Timoshenko medalist KL Johnson and his collaborators (Johnson, K.L.; Kendall, K.; Roberts, A.D.) have more than 1855 citations for the JKR theory of adhesion, based on the ISI web of Knowledge.

The following paper by Greenwood and Williamson deserves to be on the list

GREENWOO.JA, WILLIAMS.JB
CONTACT OF NOMINALLY FLAT SURFACES 
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES 295 (1442): 300& 1966
Times Cited: 1321

Mike Ciavarella's picture

 

the JKR theory JOHNSON et al P ROY SOC LOND A 324, 301  -- 1971
has even more, at least 1394 documents in the database are related to parent record. (500 shown)

Yueming Liang's picture

RICE JR, TRACEY DM
ON DUCTILE ENLARGEMENT OF VOIDS IN TRIAXIAL STRESS FIELDS 
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 17 (3): 201& 1969
Times Cited: 1035 

Henry Tan's picture

In 2002 I taught a course, Deformation and Fracture of Engineering Materials, for senior/graduate student. I encouraged them to read some classic papers:

B. BUDIANSKY, J.W. HUTCHINSON, A.G. EVANS, MATRIX FRACTURE IN FIBER-REINFORCED CERAMICS. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 34, 167-189 (1986). (cited 478 times, by January 2002)

J.R. RICE, ELASTIC FRACTURE-MECHANICS CONCEPTS FOR INTERFACIAL CRACKS. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 55, 98-103 (1988). (cited 447 times, by January 2002)

W.D. NIX, MECHANICAL-PROPERTIES OF THIN-FILMS. METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 20, 2217-2245 (1989). (cited 416 times, by January 2002)

T. CHRISTMAN, A. NEEDLEMAN, S. SURESH, AN EXPERIMENTAL AND NUMERICAL STUDY OF DEFORMATION IN METAL CERAMIC COMPOSITES. ACTA METALLURGICA 37 3029-3050 (1989). (cited 344 times, by January 2002)

J.W. HUTCHINSON, Z. SUO, MIXED-MODE CRACKING IN LAYERED MATERIALS. ADVANCES IN APPLIED MECHANICS, 29, 63-191 (1992). (cited 312 times, by January 2002)

V. PAIDAR, D.P. POPE, V. VITEK, A THEORY OF THE ANOMALOUS YIELD BEHAVIOR IN LL2 ORDERED ALLOYS. ACTA METALLURGICA, 32, 435-448 (1984). (cited 302 times, by January 2002)

V. TVERGAARD and A. NEEDLEMAN, ANALYSIS OF THE CUP-CONE FRACTURE IN A ROUND TENSILE BAR. ACTA METALLURGICA, 32, 157-169 (1984). (cited 267 times, by January 2002)

J.R. RICE, DISLOCATION NUCLEATION FROM A CRACK TIP - AN ANALYSIS BASED ON THE PEIERLS CONCEPT. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 40, 239-271 (1992). (cited 246 times, by January 2002)

Z. SUO, C.M. KUO, D.M. BARNETT, J.R. WILLIS, FRACTURE-MECHANICS FOR PIEZOELECTRIC CERAMICS. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 40, 739-765 (1992). (cited 243 times, by January 2002)

R.J. ASARO and A. NEEDLEMAN, OVERVIEW .42. TEXTURE DEVELOPMENT AND STRAIN-HARDENING IN RATE DEPENDENT POLYCRYSTALS. ACTA METALLURGICA, 33, 923-953 (1985). (cited 242 times, by January 2002)

T. CHRISTMAN, S. SURESH, MICROSTRUCTURAL DEVELOPMENT IN AN ALUMINUM ALLOY-SIC WHISKER COMPOSITE. ACTA METALLURGICA 36, 1691-1704 (1988). (cited 242 times, by January 2002)
 
T. BELYTSCHKO, Y.Y. LU and L. GU, ELEMENT-FREE GALERKIN METHODS. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 37, 229-256 (1994). (cited 259 times, by January 2002)

G. BAO, J.W. HUTCHINSON, R.M. MCMEEKING, PARTICLE REINFORCEMENT OF DUCTILE MATRICES AGAINST PLASTIC-FLOW AND CREEP. ACTA METALLURGICA ET MATERIALIA, 39, 1871-1882 (1991). (cited 241 times, by January 2002)

M.F. ASHBY, F.J. BLUNT and M. BANNISTER, FLOW CHARACTERISTICS OF HIGHLY CONSTRAINED METAL WIRES. ACTA METALLURGICA, 37, 1847-1857 (1989). (cited 232 times, by January 2002)

N.P. ODOWD, C.F. SHIH, FAMILY OF CRACK-TIP FIELDS CHARACTERIZED BY A TRIAXIALITY PARAMETER .1. STRUCTURE OF FIELDS. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 39, 989-1015 (1991). (cited 220 times, by January 2002)

P.A. FLINN, D.S. GARDNER, W.D. NIX, MEASUREMENT AND INTERPRETATION OF STRESS IN ALUMINUM-BASED METALLIZATION AS A FUNCTION OF THERMAL HISTORY. IEEE TRANSACTIONS ON ELECTRON DEVICES, 34, 689-699 (1987). (cited 206 times, by January 2002)

M.F. ASHBY, S.D. HALLAM, THE FAILURE OF BRITTLE SOLIDS CONTAINING SMALL CRACKS UNDER COMPRESSIVE STRESS STATES. ACTA METALLURGICA, 34, 497-510 (1986). (cited 205 times, by January 2002)

J.W. HUTCHINSON, M.E. MEAR, J.R. RICE, CRACK PARALLELING AN INTERFACE BETWEEN DISSIMILAR MATERIALS. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME , 54 828-832 (1987). (cited 203 times, by January 2002)

C.F. SHIH and R.J. ASARO, ELASTIC-PLASTIC ANALYSIS OF CRACKS ON BIMATERIAL INTERFACES .1. SMALL-SCALE YIELDING. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 55, 299-316 (1988). (cited 202 times, by January 2002)

Zhigang Suo's picture

Following up on a tip given by Michelle Oyen, I found this list of highly cited papers on poroelasticity identified by Alex Cheng of PoroNet

Noel ODowd's picture

It is interesting that 4 of the 'top 18 list' come from the somewhat specialised (?) area of Fracture Mechanics. I wonder why these papers rank so highly.

MichelleLOyen's picture

Is it because the list represents relatively modern literature that was published as individual papers?  I keep wondering why Hertz's original contact mechanics work would not be on this list except that it is most often cited via a chapter reference to his "Miscellaneous papers" in English or indirectly via something like Johnson's contact mechanics.

This list actually was displayed on the screen at a recent symposium on "Future Directions in Solid Mechanics" held at Cambridge in October (where it was noted to have been pulled from iMech!) to illustrate that you had to get to position 17 on the list before you hit the first paper that really qualified as computational mechanics.

Robert Paynter's picture

Timoshenko & Goodier's "Theory of Elasticity" really ought to be in the list.

Google Scholar credits it with almost twice the number of cites (3597) as Eshelby's top paper (1803). If those ratios with your numbers hold up then his other book "Theory of Elastic Stability" with JM Gere should make the list as well.

I notice you used the Web of Science; I have found it dissapointing lately compared with Google Scholar because it doesn't cover books, conference proceedings and other sources at all well. Agreed it does some things better but - I tend to go to Google first nowadays.

Henry Tan's picture

citation number just gives you an idea of who is who; should not be too serious about that.

The work of Prof. A. C. Eringen on micropolar elasticity should be added in the list. 

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