Cracks at elliptical holes: Stress intensity factor and Finite Fracture Mechanics solution
In this work crack initiation at elliptical holes in plates under uniaxial tension is studied by means of a closed form analytical Finite Fracture Mechanics approach. To allow for a detailed study of crack initiation, stress intensity factors available in literature are discussed and compared to ext...
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| Published in: | European journal of mechanics, A, Solids Vol. 55; pp. 192 - 198 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Masson SAS
01.01.2016
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| ISSN: | 0997-7538, 1873-7285 |
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| Abstract | In this work crack initiation at elliptical holes in plates under uniaxial tension is studied by means of a closed form analytical Finite Fracture Mechanics approach. To allow for a detailed study of crack initiation, stress intensity factors available in literature are discussed and compared to extensive numerical results. Based on physical rationale, an improved stress intensity factor solution is proposed that shows a very good agreement with numerical results for a wide range of stress concentration factors of the ellipse and crack lengths. Using the exact solution of the stress field in the notched plate and the proposed stress intensity factor, an efficient Finite Fracture Mechanics solution is obtained. No empiric length parameters are introduced but only the strength and the fracture toughness are required for evaluation. The analysis comprises the case of a circular hole and the limiting cases of a crack tangential and normal to the loading direction. Typical notch size effects are covered by this coupled stress and energy approach. A continuous transition from strength of materials to Linear Elastic Fracture Mechanics can be rendered.
•We model crack initiation at elliptical holes in plates under uniaxial tension.•The instantaneous initiation of finite cracks is analysed by means of a coupled stress and energy criterion.•We propose a new stress intensity factor with very good agreement to numerical results.•Notch size effects are covered correctly.•The Finite Fracture Mechanics solution renders a continuous transition from strength of materials to LEFM. |
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| AbstractList | In this work crack initiation at elliptical holes in plates under uniaxial tension is studied by means of a closed form analytical Finite Fracture Mechanics approach. To allow for a detailed study of crack initiation, stress intensity factors available in literature are discussed and compared to extensive numerical results. Based on physical rationale, an improved stress intensity factor solution is proposed that shows a very good agreement with numerical results for a wide range of stress concentration factors of the ellipse and crack lengths. Using the exact solution of the stress field in the notched plate and the proposed stress intensity factor, an efficient Finite Fracture Mechanics solution is obtained. No empiric length parameters are introduced but only the strength and the fracture toughness are required for evaluation. The analysis comprises the case of a circular hole and the limiting cases of a crack tangential and normal to the loading direction. Typical notch size effects are covered by this coupled stress and energy approach. A continuous transition from strength of materials to Linear Elastic Fracture Mechanics can be rendered.
•We model crack initiation at elliptical holes in plates under uniaxial tension.•The instantaneous initiation of finite cracks is analysed by means of a coupled stress and energy criterion.•We propose a new stress intensity factor with very good agreement to numerical results.•Notch size effects are covered correctly.•The Finite Fracture Mechanics solution renders a continuous transition from strength of materials to LEFM. In this work crack initiation at elliptical holes in plates under uniaxial tension is studied by means of a closed form analytical Finite Fracture Mechanics approach. To allow for a detailed study of crack initiation, stress intensity factors available in literature are discussed and compared to extensive numerical results. Based on physical rationale, an improved stress intensity factor solution is proposed that shows a very good agreement with numerical results for a wide range of stress concentration factors of the ellipse and crack lengths. Using the exact solution of the stress field in the notched plate and the proposed stress intensity factor, an efficient Finite Fracture Mechanics solution is obtained. No empiric length parameters are introduced but only the strength and the fracture toughness are required for evaluation. The analysis comprises the case of a circular hole and the limiting cases of a crack tangential and normal to the loading direction. Typical notch size effects are covered by this coupled stress and energy approach. A continuous transition from strength of materials to Linear Elastic Fracture Mechanics can be rendered. |
| Author | Becker, W. Geipel, D. Weißgraeber, P. Felger, J. |
| Author_xml | – sequence: 1 givenname: P. surname: Weißgraeber fullname: Weißgraeber, P. email: weissgraeber@fsm.tu-darmstadt.de – sequence: 2 givenname: J. surname: Felger fullname: Felger, J. – sequence: 3 givenname: D. surname: Geipel fullname: Geipel, D. – sequence: 4 givenname: W. surname: Becker fullname: Becker, W. |
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| Cites_doi | 10.1016/j.engfracmech.2014.01.012 10.1177/002199839502900706 10.1016/j.engfracmech.2007.04.007 10.1111/j.1460-2695.1991.tb00005.x 10.1177/073168448500400102 10.1016/S0997-7538(01)01184-6 10.1111/j.1460-2695.1980.tb01382.x 10.1016/j.compstruct.2012.10.004 10.1115/1.2806812 10.1016/j.ijsolstr.2012.08.020 10.1111/j.1460-2695.2011.01637.x 10.1016/j.crme.2013.04.002 10.1007/s10704-014-9932-x 10.1016/j.engfracmech.2006.02.006 10.1115/1.3601206 10.1016/j.compositesa.2012.03.004 10.1177/002199837400800303 10.1002/sapm195635160 10.1016/j.engfracmech.2007.04.010 10.1016/j.jeurceramsoc.2005.02.016 10.1016/j.compscitech.2006.02.017 10.1007/s10704-011-9640-8 10.1007/BF00034697 10.1016/S0921-5093(01)01759-2 10.1016/j.compscitech.2007.02.005 10.1061/(ASCE)0733-9399(1984)110:4(518) 10.1177/002199838702101004 10.1016/j.ijsolstr.2013.03.012 10.1016/0025-5416(80)90153-6 10.1023/A:1022644023867 10.1016/j.engfracmech.2005.09.001 10.1299/kikai1938.39.7 10.1016/0022-5096(95)00080-1 10.1080/15376490802135266 10.1016/0013-7944(87)90027-0 10.1016/j.engfracmech.2006.03.010 10.1016/j.compscitech.2012.12.009 10.1177/002199837100500402 10.1007/s10704-006-0066-7 |
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| References | Erçin, Camanho, Xavier, Catalanotti, Mahdi, Linde (bib16) 2013; 96 Lukáš (bib31) 1987; 26 Gomez, Guinea, Elices (bib17) 2006; 141 Awerbuch, Madhukar (bib1) 1985; 4 Broberg (bib5) 1999 Kim, Kim, Takeda (bib24) 1995; 29 Jergéus (bib23) 1978; 14 Waddoups, Eisenmann, Kaminski (bib44) 1971; 5 Wormsen, Fjeldstad, Härkegård (bib48) 2006; 73 Leguillon (bib29) 2013; 341 Bažant, Daniel, Li (bib3) 1996; 118 Whitney, Nuismer (bib47) 1974; 8 Gross, Seelig (bib18) 2011 Nisitani, Isida (bib34) 1973; 39 Bowie (bib4) 1956; 35 Cornetti, Pugno, Carpinteri, Taylor (bib14) 2006; 73 Cornetti, Sapora, Carpinteri (bib15) 2014 Newman (bib33) 1971 Weißgraeber, Becker (bib45) 2013; 50 Weißgraeber, Leguillon, Becker (bib46) 2015 Li, Zhang (bib30) 2006; 73 Taylor (bib42) 2008; 75 Schijve (bib38) 1980; 3 Timoshenko, Goodier (bib43) 1951 Carpinteri, Cornetti, Pugno, Sapora, Taylor (bib10) 2008; 75 Catalanotti, Camanho (bib13) 2013; 76 Camanho, Erçin, Catalanotti, Mahdi, Linde (bib7) 2012; 43 Carpinteri, Cornetti, Sapora (bib11) 2011; 172 Hell, Weißgraeber, Felger, Becker (bib21) 2014; 117 Tan (bib41) 1987; 21 Bažant (bib2) 1984; 110 Kotousov, Jones (bib26) 2002; 115 Camanho, Lambert (bib8) 2006; 66 Inglis (bib22) 1913; 55 Camanho, Maimí, Dávila (bib9) 2007; 67 Hebel, Becker (bib20) 2008; 15 Srivastava (bib39) 2002; 328 Tada, Paris, Irwin (bib40) 1985 Hashin (bib19) 1996; 44 Kirsch (bib25) 1898; 42 Picard, Leguillon, Putot (bib35) 2006; 26 Byron Pipes, Wetherhold, Gillespie (bib6) 1980; 45 Kujawski (bib27) 1991; 14 Rice (bib36) 1968; 35 Carpinteri, Cornetti, Sapora (bib12) 2012; 35 Sapora, Cornetti, Carpinteri (bib37) 2014; 187 Leguillon (bib28) 2002; 21 Martin, Leguillon, Carrère (bib32) 2012; 49 Cornetti (10.1016/j.euromechsol.2015.09.002_bib14) 2006; 73 Picard (10.1016/j.euromechsol.2015.09.002_bib35) 2006; 26 Kirsch (10.1016/j.euromechsol.2015.09.002_bib25) 1898; 42 Hashin (10.1016/j.euromechsol.2015.09.002_bib19) 1996; 44 Weißgraeber (10.1016/j.euromechsol.2015.09.002_bib45) 2013; 50 Bažant (10.1016/j.euromechsol.2015.09.002_bib3) 1996; 118 Carpinteri (10.1016/j.euromechsol.2015.09.002_bib12) 2012; 35 Gomez (10.1016/j.euromechsol.2015.09.002_bib17) 2006; 141 Jergéus (10.1016/j.euromechsol.2015.09.002_bib23) 1978; 14 Camanho (10.1016/j.euromechsol.2015.09.002_bib7) 2012; 43 Carpinteri (10.1016/j.euromechsol.2015.09.002_bib10) 2008; 75 Timoshenko (10.1016/j.euromechsol.2015.09.002_bib43) 1951 Tada (10.1016/j.euromechsol.2015.09.002_bib40) 1985 Hell (10.1016/j.euromechsol.2015.09.002_bib21) 2014; 117 Kotousov (10.1016/j.euromechsol.2015.09.002_bib26) 2002; 115 Nisitani (10.1016/j.euromechsol.2015.09.002_bib34) 1973; 39 Camanho (10.1016/j.euromechsol.2015.09.002_bib8) 2006; 66 Camanho (10.1016/j.euromechsol.2015.09.002_bib9) 2007; 67 Li (10.1016/j.euromechsol.2015.09.002_bib30) 2006; 73 Wormsen (10.1016/j.euromechsol.2015.09.002_bib48) 2006; 73 Bažant (10.1016/j.euromechsol.2015.09.002_bib2) 1984; 110 Lukáš (10.1016/j.euromechsol.2015.09.002_bib31) 1987; 26 Rice (10.1016/j.euromechsol.2015.09.002_bib36) 1968; 35 Schijve (10.1016/j.euromechsol.2015.09.002_bib38) 1980; 3 Weißgraeber (10.1016/j.euromechsol.2015.09.002_bib46) 2015 Bowie (10.1016/j.euromechsol.2015.09.002_bib4) 1956; 35 Byron Pipes (10.1016/j.euromechsol.2015.09.002_bib6) 1980; 45 Cornetti (10.1016/j.euromechsol.2015.09.002_bib15) 2014 Kim (10.1016/j.euromechsol.2015.09.002_bib24) 1995; 29 Catalanotti (10.1016/j.euromechsol.2015.09.002_bib13) 2013; 76 Erçin (10.1016/j.euromechsol.2015.09.002_bib16) 2013; 96 Newman (10.1016/j.euromechsol.2015.09.002_bib33) 1971 Martin (10.1016/j.euromechsol.2015.09.002_bib32) 2012; 49 Sapora (10.1016/j.euromechsol.2015.09.002_bib37) 2014; 187 Srivastava (10.1016/j.euromechsol.2015.09.002_bib39) 2002; 328 Waddoups (10.1016/j.euromechsol.2015.09.002_bib44) 1971; 5 Kujawski (10.1016/j.euromechsol.2015.09.002_bib27) 1991; 14 Leguillon (10.1016/j.euromechsol.2015.09.002_bib29) 2013; 341 Leguillon (10.1016/j.euromechsol.2015.09.002_bib28) 2002; 21 Tan (10.1016/j.euromechsol.2015.09.002_bib41) 1987; 21 Awerbuch (10.1016/j.euromechsol.2015.09.002_bib1) 1985; 4 Broberg (10.1016/j.euromechsol.2015.09.002_bib5) 1999 Taylor (10.1016/j.euromechsol.2015.09.002_bib42) 2008; 75 Gross (10.1016/j.euromechsol.2015.09.002_bib18) 2011 Whitney (10.1016/j.euromechsol.2015.09.002_bib47) 1974; 8 Hebel (10.1016/j.euromechsol.2015.09.002_bib20) 2008; 15 Carpinteri (10.1016/j.euromechsol.2015.09.002_bib11) 2011; 172 Inglis (10.1016/j.euromechsol.2015.09.002_bib22) 1913; 55 |
| References_xml | – volume: 21 start-page: 61 year: 2002 end-page: 72 ident: bib28 article-title: Strength or toughness? a criterion for crack onset at a notch publication-title: Eur. J. Mech. A Solids – year: 2014 ident: bib15 article-title: Finite fracture mechanics vs. cohesive crack modelling: an analytical comparison based on case studies publication-title: 16th European Conference on Composite Materials (ECCM-14) European Society of Composite Materials (ESCM) – volume: 118 start-page: 317 year: 1996 end-page: 324 ident: bib3 article-title: Size effect and fracture characteristics of composite laminates publication-title: J. Eng. Mater. Technol. – volume: 44 start-page: 1129 year: 1996 end-page: 1145 ident: bib19 article-title: Finite thermoelastic fracture criterion with application to laminate cracking analysis publication-title: J. Mech. Phys. Solids – volume: 29 start-page: 982 year: 1995 end-page: 998 ident: bib24 article-title: Notched strength and fracture criterion in fabric composite plates containing a circular hole publication-title: J. Compos. Mater. – volume: 3 start-page: 325 year: 1980 end-page: 338 ident: bib38 article-title: Stress gradients around notches publication-title: Fatigue Fract. Eng. Mater. Struct. – volume: 45 start-page: 247 year: 1980 end-page: 253 ident: bib6 article-title: Macroscopic fracture of fibrous composites publication-title: Mater. Sci. Eng. – year: 1999 ident: bib5 article-title: Cracks and Fracture – volume: 141 start-page: 99 year: 2006 end-page: 113 ident: bib17 article-title: Failure criteria for linear elastic materials with U-notches publication-title: Int. J. Fract. – volume: 172 start-page: 1 year: 2011 end-page: 8 ident: bib11 article-title: Brittle failures at rounded V-notches: a finite fracture mechanics approach publication-title: Int. J. Fract. – volume: 14 start-page: R113 year: 1978 end-page: R116 ident: bib23 article-title: A simple formula for the stress intensity factors of cracks in side notches publication-title: Int. J. Fract. – volume: 35 start-page: 379 year: 1968 end-page: 386 ident: bib36 article-title: A path independent integral and the approximate analysis of strain concentration by notches and cracks publication-title: J. Appl. Mech. – volume: 26 start-page: 1421 year: 2006 end-page: 1427 ident: bib35 article-title: A method to estimate the influence of the notch-root radius on the fracture toughness measurement of ceramics publication-title: J. Eur. Ceram. Soc. – year: 1951 ident: bib43 article-title: Theory of Elasticity – volume: 67 start-page: 2715 year: 2007 end-page: 2727 ident: bib9 article-title: Prediction of size effects in notched laminates using continuum damage mechanics publication-title: Compos. Sci. Technol. – year: 2015 ident: bib46 article-title: A review of finite fracture mechanics: crack initiation at singular and non-singular stress-raisers publication-title: Int. J. Fract. – year: 2011 ident: bib18 article-title: Fracture Mechanics: With an Introduction to Micromechanics – volume: 73 start-page: 505 year: 2006 end-page: 523 ident: bib30 article-title: A criterion study for non-singular stress concentrations in brittle or quasi-brittle materials publication-title: Eng. Fract. Mech. – volume: 55 start-page: 219 year: 1913 end-page: 230 ident: bib22 article-title: Stresses in a plate due to the presence of cracks and sharp corners publication-title: Trans. Inst. Nav. Archit. – volume: 26 start-page: 471 year: 1987 end-page: 473 ident: bib31 article-title: Stress intensity factor for small notch-emanated cracks publication-title: Eng. Fract. Mech. – year: 1971 ident: bib33 article-title: An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various Shaped Boundaries – volume: 15 start-page: 410 year: 2008 end-page: 420 ident: bib20 article-title: Numerical analysis of brittle crack initiation at stress concentrations in composites publication-title: Mech. Adv. Mater. Struct. – volume: 42 start-page: 727 year: 1898 end-page: 807 ident: bib25 article-title: Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre publication-title: Z. Des. Vereines Dtsch. Ingenieure – volume: 39 start-page: 7 year: 1973 end-page: 14 ident: bib34 article-title: Stress intensity factor for the tension of an infinite plate containing an elliptical hole with two symmetrical edge cracks publication-title: Trans. Jpn. Soc. Mech. Eng. – volume: 43 start-page: 1219 year: 2012 end-page: 1225 ident: bib7 article-title: A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates publication-title: Compos. Part A Appl. Sci. Manuf. – volume: 96 start-page: 736 year: 2013 end-page: 744 ident: bib16 article-title: Size effects on the tensile and compressive failure of notched composite laminates publication-title: Compos. Struct. – volume: 75 start-page: 1736 year: 2008 end-page: 1752 ident: bib10 article-title: A finite fracture mechanics approach to structures with sharp V-notches publication-title: Eng. Fract. Mech. – volume: 21 start-page: 925 year: 1987 end-page: 948 ident: bib41 article-title: Laminated composites containing an elliptical opening. I. Approximate stress analyses and fracture models publication-title: J. Compos. Mater. – volume: 14 start-page: 953 year: 1991 end-page: 965 ident: bib27 article-title: Estimations of stress intensity factors for small cracks at notches publication-title: Fatigue Fract. Eng. Mater. Struct. – volume: 75 start-page: 1696 year: 2008 end-page: 1705 ident: bib42 article-title: The theory of critical distances publication-title: Eng. Fract. Mech. – volume: 110 start-page: 518 year: 1984 end-page: 535 ident: bib2 article-title: Size effect in blunt fracture: concrete, rock, metal publication-title: J. Eng. Mech. – volume: 115 start-page: 43 year: 2002 end-page: 48 ident: bib26 article-title: Method for calculating the stress intensity factor for small-to-medium edge cracks publication-title: Int. J. Fract. – volume: 328 start-page: 302 year: 2002 end-page: 309 ident: bib39 article-title: Notched strength prediction of laminated composite under tensile loading publication-title: Mater. Sci. Eng. A – volume: 73 start-page: 2021 year: 2006 end-page: 2033 ident: bib14 article-title: Finite fracture mechanics: a coupled stress and energy failure criterion publication-title: Eng. Fract. Mech. – volume: 5 start-page: 446 year: 1971 end-page: 454 ident: bib44 article-title: Macroscopic fracture mechanics of advanced composite materials publication-title: J. Compos. Mater. – volume: 73 start-page: 1899 year: 2006 end-page: 1912 ident: bib48 article-title: The application of asymptotic solutions to a semi-elliptical crack at the root of a notch publication-title: Eng. Fract. Mech. – volume: 35 start-page: 60 year: 1956 ident: bib4 article-title: Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular bole publication-title: J. Math. Phys. – volume: 50 start-page: 2383 year: 2013 end-page: 2394 ident: bib45 article-title: Finite fracture mechanics model for mixed mode fracture in adhesive joints publication-title: Int. J. Solids Struct. – volume: 66 start-page: 3004 year: 2006 end-page: 3020 ident: bib8 article-title: A design methodology for mechanically fastened joints in laminated composite materials publication-title: Compos. Sci. Technol. – volume: 35 start-page: 451 year: 2012 end-page: 457 ident: bib12 article-title: A finite fracture mechanics approach to the asymptotic behaviour of U-notched structures publication-title: Fatigue Fract. Eng. Mater. Struct. – volume: 8 start-page: 253 year: 1974 end-page: 265 ident: bib47 article-title: Stress fracture criteria for laminated composites containing stress concentrations publication-title: J. Compos. Mater. – volume: 76 start-page: 69 year: 2013 end-page: 76 ident: bib13 article-title: A semi-analytical method to predict net-tension failure of mechanically fastened joints in composite laminates publication-title: Compos. Sci. Technol. – year: 1985 ident: bib40 article-title: The Stress Analysis of Cracks Handbook – volume: 4 start-page: 3 year: 1985 end-page: 159 ident: bib1 article-title: Notched strength of composite laminates: predictions and experiments—a review publication-title: J. Reinf. Plast. Compos. – volume: 187 start-page: 285 year: 2014 end-page: 291 ident: bib37 article-title: Cracks at rounded V-notch tips: an analytical expression for the stress intensity factor publication-title: Int. J. Fract. – volume: 341 start-page: 538 year: 2013 end-page: 546 ident: bib29 article-title: A simple model of thermal crack pattern formation using the coupled criterion publication-title: Comptes Rendus Mécan. – volume: 117 start-page: 112 year: 2014 end-page: 126 ident: bib21 article-title: A coupled stress and energy criterion for the assessment of crack initiation in single lap joints: a numerical approach publication-title: Eng. Fract. Mech. – volume: 49 start-page: 3915 year: 2012 end-page: 3922 ident: bib32 article-title: A coupled strength and toughness criterion for the prediction of the open hole tensile strength of a composite plate publication-title: Int. J. Solids Struct. – volume: 117 start-page: 112 year: 2014 ident: 10.1016/j.euromechsol.2015.09.002_bib21 article-title: A coupled stress and energy criterion for the assessment of crack initiation in single lap joints: a numerical approach publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2014.01.012 – volume: 29 start-page: 982 issue: 7 year: 1995 ident: 10.1016/j.euromechsol.2015.09.002_bib24 article-title: Notched strength and fracture criterion in fabric composite plates containing a circular hole publication-title: J. Compos. Mater. doi: 10.1177/002199839502900706 – volume: 75 start-page: 1696 issue: 7 year: 2008 ident: 10.1016/j.euromechsol.2015.09.002_bib42 article-title: The theory of critical distances publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2007.04.007 – volume: 14 start-page: 953 issue: 10 year: 1991 ident: 10.1016/j.euromechsol.2015.09.002_bib27 article-title: Estimations of stress intensity factors for small cracks at notches publication-title: Fatigue Fract. Eng. Mater. Struct. doi: 10.1111/j.1460-2695.1991.tb00005.x – year: 2015 ident: 10.1016/j.euromechsol.2015.09.002_bib46 article-title: A review of finite fracture mechanics: crack initiation at singular and non-singular stress-raisers publication-title: Int. J. Fract. – volume: 4 start-page: 3 issue: 1 year: 1985 ident: 10.1016/j.euromechsol.2015.09.002_bib1 article-title: Notched strength of composite laminates: predictions and experiments—a review publication-title: J. Reinf. Plast. Compos. doi: 10.1177/073168448500400102 – year: 1971 ident: 10.1016/j.euromechsol.2015.09.002_bib33 – volume: 21 start-page: 61 issue: 1 year: 2002 ident: 10.1016/j.euromechsol.2015.09.002_bib28 article-title: Strength or toughness? a criterion for crack onset at a notch publication-title: Eur. J. Mech. A Solids doi: 10.1016/S0997-7538(01)01184-6 – volume: 3 start-page: 325 issue: 4 year: 1980 ident: 10.1016/j.euromechsol.2015.09.002_bib38 article-title: Stress gradients around notches publication-title: Fatigue Fract. Eng. Mater. Struct. doi: 10.1111/j.1460-2695.1980.tb01382.x – volume: 96 start-page: 736 year: 2013 ident: 10.1016/j.euromechsol.2015.09.002_bib16 article-title: Size effects on the tensile and compressive failure of notched composite laminates publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2012.10.004 – volume: 118 start-page: 317 issue: 3 year: 1996 ident: 10.1016/j.euromechsol.2015.09.002_bib3 article-title: Size effect and fracture characteristics of composite laminates publication-title: J. Eng. Mater. Technol. doi: 10.1115/1.2806812 – volume: 49 start-page: 3915 issue: 26 year: 2012 ident: 10.1016/j.euromechsol.2015.09.002_bib32 article-title: A coupled strength and toughness criterion for the prediction of the open hole tensile strength of a composite plate publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2012.08.020 – year: 1985 ident: 10.1016/j.euromechsol.2015.09.002_bib40 – volume: 35 start-page: 451 issue: 5 year: 2012 ident: 10.1016/j.euromechsol.2015.09.002_bib12 article-title: A finite fracture mechanics approach to the asymptotic behaviour of U-notched structures publication-title: Fatigue Fract. Eng. Mater. Struct. doi: 10.1111/j.1460-2695.2011.01637.x – year: 1999 ident: 10.1016/j.euromechsol.2015.09.002_bib5 – year: 2014 ident: 10.1016/j.euromechsol.2015.09.002_bib15 article-title: Finite fracture mechanics vs. cohesive crack modelling: an analytical comparison based on case studies – volume: 341 start-page: 538 issue: 6 year: 2013 ident: 10.1016/j.euromechsol.2015.09.002_bib29 article-title: A simple model of thermal crack pattern formation using the coupled criterion publication-title: Comptes Rendus Mécan. doi: 10.1016/j.crme.2013.04.002 – volume: 187 start-page: 285 issue: 2 year: 2014 ident: 10.1016/j.euromechsol.2015.09.002_bib37 article-title: Cracks at rounded V-notch tips: an analytical expression for the stress intensity factor publication-title: Int. J. Fract. doi: 10.1007/s10704-014-9932-x – year: 2011 ident: 10.1016/j.euromechsol.2015.09.002_bib18 – volume: 73 start-page: 1899 issue: 13 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib48 article-title: The application of asymptotic solutions to a semi-elliptical crack at the root of a notch publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2006.02.006 – volume: 35 start-page: 379 issue: 2 year: 1968 ident: 10.1016/j.euromechsol.2015.09.002_bib36 article-title: A path independent integral and the approximate analysis of strain concentration by notches and cracks publication-title: J. Appl. Mech. doi: 10.1115/1.3601206 – volume: 43 start-page: 1219 issue: 8 year: 2012 ident: 10.1016/j.euromechsol.2015.09.002_bib7 article-title: A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates publication-title: Compos. Part A Appl. Sci. Manuf. doi: 10.1016/j.compositesa.2012.03.004 – volume: 8 start-page: 253 issue: 3 year: 1974 ident: 10.1016/j.euromechsol.2015.09.002_bib47 article-title: Stress fracture criteria for laminated composites containing stress concentrations publication-title: J. Compos. Mater. doi: 10.1177/002199837400800303 – volume: 35 start-page: 60 year: 1956 ident: 10.1016/j.euromechsol.2015.09.002_bib4 article-title: Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular bole publication-title: J. Math. Phys. doi: 10.1002/sapm195635160 – volume: 75 start-page: 1736 issue: 7 year: 2008 ident: 10.1016/j.euromechsol.2015.09.002_bib10 article-title: A finite fracture mechanics approach to structures with sharp V-notches publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2007.04.010 – volume: 26 start-page: 1421 issue: 8 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib35 article-title: A method to estimate the influence of the notch-root radius on the fracture toughness measurement of ceramics publication-title: J. Eur. Ceram. Soc. doi: 10.1016/j.jeurceramsoc.2005.02.016 – volume: 66 start-page: 3004 issue: 15 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib8 article-title: A design methodology for mechanically fastened joints in laminated composite materials publication-title: Compos. Sci. Technol. doi: 10.1016/j.compscitech.2006.02.017 – volume: 172 start-page: 1 issue: 1 year: 2011 ident: 10.1016/j.euromechsol.2015.09.002_bib11 article-title: Brittle failures at rounded V-notches: a finite fracture mechanics approach publication-title: Int. J. Fract. doi: 10.1007/s10704-011-9640-8 – volume: 14 start-page: R113 issue: 3 year: 1978 ident: 10.1016/j.euromechsol.2015.09.002_bib23 article-title: A simple formula for the stress intensity factors of cracks in side notches publication-title: Int. J. Fract. doi: 10.1007/BF00034697 – volume: 328 start-page: 302 issue: 1 year: 2002 ident: 10.1016/j.euromechsol.2015.09.002_bib39 article-title: Notched strength prediction of laminated composite under tensile loading publication-title: Mater. Sci. Eng. A doi: 10.1016/S0921-5093(01)01759-2 – volume: 67 start-page: 2715 issue: 13 year: 2007 ident: 10.1016/j.euromechsol.2015.09.002_bib9 article-title: Prediction of size effects in notched laminates using continuum damage mechanics publication-title: Compos. Sci. Technol. doi: 10.1016/j.compscitech.2007.02.005 – volume: 110 start-page: 518 issue: 4 year: 1984 ident: 10.1016/j.euromechsol.2015.09.002_bib2 article-title: Size effect in blunt fracture: concrete, rock, metal publication-title: J. Eng. Mech. doi: 10.1061/(ASCE)0733-9399(1984)110:4(518) – volume: 21 start-page: 925 issue: 10 year: 1987 ident: 10.1016/j.euromechsol.2015.09.002_bib41 article-title: Laminated composites containing an elliptical opening. I. Approximate stress analyses and fracture models publication-title: J. Compos. Mater. doi: 10.1177/002199838702101004 – volume: 50 start-page: 2383 issue: 14 year: 2013 ident: 10.1016/j.euromechsol.2015.09.002_bib45 article-title: Finite fracture mechanics model for mixed mode fracture in adhesive joints publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2013.03.012 – volume: 45 start-page: 247 issue: 3 year: 1980 ident: 10.1016/j.euromechsol.2015.09.002_bib6 article-title: Macroscopic fracture of fibrous composites publication-title: Mater. Sci. Eng. doi: 10.1016/0025-5416(80)90153-6 – volume: 115 start-page: 43 issue: 3 year: 2002 ident: 10.1016/j.euromechsol.2015.09.002_bib26 article-title: Method for calculating the stress intensity factor for small-to-medium edge cracks publication-title: Int. J. Fract. doi: 10.1023/A:1022644023867 – volume: 73 start-page: 505 issue: 4 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib30 article-title: A criterion study for non-singular stress concentrations in brittle or quasi-brittle materials publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2005.09.001 – volume: 39 start-page: 7 issue: 317 year: 1973 ident: 10.1016/j.euromechsol.2015.09.002_bib34 article-title: Stress intensity factor for the tension of an infinite plate containing an elliptical hole with two symmetrical edge cracks publication-title: Trans. Jpn. Soc. Mech. Eng. doi: 10.1299/kikai1938.39.7 – volume: 44 start-page: 1129 issue: 7 year: 1996 ident: 10.1016/j.euromechsol.2015.09.002_bib19 article-title: Finite thermoelastic fracture criterion with application to laminate cracking analysis publication-title: J. Mech. Phys. Solids doi: 10.1016/0022-5096(95)00080-1 – volume: 15 start-page: 410 issue: 6–7 year: 2008 ident: 10.1016/j.euromechsol.2015.09.002_bib20 article-title: Numerical analysis of brittle crack initiation at stress concentrations in composites publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376490802135266 – year: 1951 ident: 10.1016/j.euromechsol.2015.09.002_bib43 – volume: 26 start-page: 471 issue: 3 year: 1987 ident: 10.1016/j.euromechsol.2015.09.002_bib31 article-title: Stress intensity factor for small notch-emanated cracks publication-title: Eng. Fract. Mech. doi: 10.1016/0013-7944(87)90027-0 – volume: 42 start-page: 727 year: 1898 ident: 10.1016/j.euromechsol.2015.09.002_bib25 article-title: Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre publication-title: Z. Des. Vereines Dtsch. Ingenieure – volume: 73 start-page: 2021 issue: 14 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib14 article-title: Finite fracture mechanics: a coupled stress and energy failure criterion publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2006.03.010 – volume: 76 start-page: 69 year: 2013 ident: 10.1016/j.euromechsol.2015.09.002_bib13 article-title: A semi-analytical method to predict net-tension failure of mechanically fastened joints in composite laminates publication-title: Compos. Sci. Technol. doi: 10.1016/j.compscitech.2012.12.009 – volume: 5 start-page: 446 issue: 4 year: 1971 ident: 10.1016/j.euromechsol.2015.09.002_bib44 article-title: Macroscopic fracture mechanics of advanced composite materials publication-title: J. Compos. Mater. doi: 10.1177/002199837100500402 – volume: 141 start-page: 99 issue: 1–2 year: 2006 ident: 10.1016/j.euromechsol.2015.09.002_bib17 article-title: Failure criteria for linear elastic materials with U-notches publication-title: Int. J. Fract. doi: 10.1007/s10704-006-0066-7 – volume: 55 start-page: 219 year: 1913 ident: 10.1016/j.euromechsol.2015.09.002_bib22 article-title: Stresses in a plate due to the presence of cracks and sharp corners publication-title: Trans. Inst. Nav. Archit. |
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| SubjectTerms | Crack initiation Exact solutions Finite Fracture Mechanics Fracture mechanics Fracture toughness Mathematical analysis Mathematical models Plates Size effect Stress intensity factor |
| Title | Cracks at elliptical holes: Stress intensity factor and Finite Fracture Mechanics solution |
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