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Most cited papers in Fatigue and fracture mechanics

What are the most cited papers in Fatigue and fracture mechanics?

The most cited paper in Fatigue and fracture mechanics is "Influence of partially known parameter on flaw characterization in Eddy Current Testing by using a random walk MCMC method based on metamodeling" (Caifang Cai, Thomas Rodet, Marc Antoine Lambert, 2014), with 12,195 citations. Next come "A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks" (8,399) and "A Critical Analysis of Crack Propagation Laws" (7,114).

Showing 50 of 99 papers. Every paper with more than 789 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Influence of partially known parameter on flaw characterization in Eddy Current Testing by using a random walk MCMC method based on metamodeling Caifang Cai, Thomas Rodet, Marc Antoine Lambert · Journal of Physics Conference Series Conference paperOpen access 21 Oct 2014 12,195
2 A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks JAMES R. RICE · Journal of Applied Mechanics Jun 1968 8,399
3 A Critical Analysis of Crack Propagation Laws Paul C. Paris, F. Erdoğan · Journal of Basic Engineering Dec 1963 7,114
4 Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements Arne Hillerborg, Mats Modéer, Per-Erik Petersson · Cement and Concrete Research Nov 1976 6,876
5 A finite element method for crack growth without remeshing Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering Open access 10 Sep 1999 6,402
6 Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate G. R. Irwin · Journal of Applied Mechanics Sep 1957 5,601
7 On the Crack Extension in Plates Under Plane Loading and Transverse Shear F. Erdoğan, G. C. Sih · Journal of Basic Engineering Dec 1963 4,863
8 Elastic crack growth in finite elements with minimal remeshing Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering 20 Jun 1999 4,852
9 Mixed Mode Cracking in Layered Materials John Woodside Hutchinson, Zhigang Suo · Advances in applied mechanics Book chapter 1991 4,014
10 Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index Andrea Saltelli, Paola Annoni, Ivano Azzini et al. · Computer Physics Communications Oct 2009 3,573
11 Analysis of the cup-cone fracture in a round tensile bar Viggo Tvergaard, Alan Needleman · Acta Metallurgica 1984 3,507
12 On the Stress Distribution at the Base of a Stationary Crack Malcolm L. Williams · Journal of Applied Mechanics Mar 1957 3,403
13 A General Theory of Strength for Anisotropic Materials Stephen W. Tsai, Edward M. Wu · Journal of Composite Materials 1971 3,371
14 Plane strain deformation near a crack tip in a power-law hardening material JAMES R. RICE, G. F. Rosengren · Journal of the Mechanics and Physics of Solids 1968 3,187
15 Exact and Invariant Second-Moment Code Format A. M. Hasofer, Niels C. Lind · Journal of the Engineering Mechanics Division Feb 1974 3,127
16 A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits Christian Miehé, Martina Hofacker, Fabian Welschinger · Computer Methods in Applied Mechanics and Engineering 8 May 2010 3,113
17 Singular behaviour at the end of a tensile crack in a hardening material John Woodside Hutchinson · Journal of the Mechanics and Physics of Solids 1968 2,900
18 Universal Elastic Anisotropy Index Shivakumar I. Ranganathan, Martin Ostoja‐Starzewski · Physical Review Letters Aug 2008 2,727
19 Numerical simulations of fast crack growth in brittle solids Xiaopeng Xu, Alan Needleman · Journal of the Mechanics and Physics of Solids Sep 1994 2,410
20 Strain-energy-density factor applied to mixed mode crack problems G. C. Sih · International Journal of Fracture Sep 1974 2,302
21 A finite element calculation of stress intensity factors by a modified crack closure integral E.F. Rybicki, M. F. Kanninen · Engineering Fracture Mechanics 1977 2,282
22 Making best use of model evaluations to compute sensitivity indices Andrea Saltelli · Computer Physics Communications Open access May 2002 2,240
23 A Study of the Effects of Cyclic Thermal Stresses on a Ductile Metal L. F. Coffin · Transactions of the American Society of Mechanical Engineers Aug 1954 2,232
24 The Significance of Fatigue Crack Closure Wolf Elber Book chapter 1971 2,008
25 Elastic Fracture Mechanics Concepts for Interfacial Cracks JAMES R. RICE · Journal of Applied Mechanics Mar 1988 1,973
26 Metal Fatigue in Engineering (1980) H. O. Fuchs, R. I. Stephens, Hector Saunders · Journal of Engineering Materials and Technology Oct 1981 1,939
27 The Variational Approach to Fracture Blaise Bourdin, Gilles A. Francfort, Jean‐Jacques Marigo · Journal of Elasticity Open access 14 Mar 2008 1,899
28 A CRITICAL PLANE APPROACH TO MULTIAXIAL FATIGUE DAMAGE INCLUDING OUT‐OF‐PHASE LOADING Ali Fatemi, Darrell F. SOCIE · Fatigue & Fracture of Engineering Materials & Structures Mar 1988 1,892
29 Slightly curved or kinked cracks Benjamin M. Cotterell, JAMES R. RICE · International Journal of Fracture Apr 1980 1,874
30 An empirical stress-intensity factor equation for the surface crack James C. Newman, Ivatury S. Raju · Engineering Fracture Mechanics 1981 1,861
31 A new model of metal plasticity and fracture with pressure and Lode dependence Yuanli Bai, Tomasz Wierzbicki · International Journal of Plasticity 26 Oct 2007 1,804
32 Constitutive equations for cyclic plasticity and cyclic viscoplasticity J.L. Chaboche · International Journal of Plasticity 1989 1,797
33 A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output Andrea Saltelli, Stefano Tarantola, Karen Chan · Technometrics Feb 1999 1,776
34 The relation between crack growth resistance and fracture process parameters in elastic-plastic solids Viggo Tvergaard, John Woodside Hutchinson · Journal of the Mechanics and Physics of Solids Aug 1992 1,704
35 Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments Hanen Amor, Jean‐Jacques Marigo, Corrado Maurini · Journal of the Mechanics and Physics of Solids 5 May 2009 1,676
36 Residual stress. Part 1 – Measurement techniques Philip John Withers, H. K. D. H. Bhadeshia · Materials Science and Technology Apr 2001 1,622
37 Dislocation nucleation from a crack tip: An analysis based on the Peierls concept JAMES R. RICE · Journal of the Mechanics and Physics of Solids 1992 1,592
38 On the relationship between critical tensile stress and fracture toughness in mild steel Robert O. Ritchie, J. F. Knott, JAMES R. RICE · Journal of the Mechanics and Physics of Solids Nov 1973 1,553
39 The elastic and ultimate properties of compact bone tissue Donald T. Reilly, Albert H. Burstein · Journal of Biomechanics 1975 1,526
40 Virtual crack closure technique: History, approach, and applications Ronald Krueger · Applied Mechanics Reviews Mar 2004 1,510
41 On the use of isoparametric finite elements in linear fracture mechanics Roshdy S. Barsoum · International Journal for Numerical Methods in Engineering 1976 1,507
42 Crack deflection processes—I. Theory K. T. Faber, Anthony Glyn Evans · Acta Metallurgica Apr 1983 1,450
43 The stresses around a fault or crack in dissimilar media Malcolm L. Williams · Bulletin of the Seismological Society of America Apr 1959 1,428
44 Mechanics of Brittle Fracture Genady P. Cherepanov, A. L. Peabody, Roland deWit et al. · Journal of Applied Mechanics Dec 1982 1,415
45 Crack deflection at an interface between dissimilar elastic materials Mingyuan He, John Woodside Hutchinson · International Journal of Solids and Structures 1989 1,397
46 Strain- and stress-based continuum damage models—I. Formulation J.C. Simo, Jiann-Wen Woody Ju · International Journal of Solids and Structures Open access 1987 1,362
47 On cracks in rectilinearly anisotropic bodies G. C. Sih, Paul C. Paris, G. R. Irwin · International Journal of Fracture Sep 1965 1,356
48 A survey of the application of gamma processes in maintenance Jan M. van Noortwijk · Reliability Engineering & System Safety 24 Mar 2007 1,351
49 Fatigue: A complex subject—Some simple approximations S. S. Manson · Experimental Mechanics Open access Jul 1965 1,333
50 Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials Ali Fatemi, Lintao Yang · International Journal of Fatigue 1998 1,310

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.