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Erschienen in:

2020 | OriginalPaper | Buchkapitel

16. Numerical Methods

verfasst von : Emmanuel E. Gdoutos

Erschienen in: Fracture Mechanics

Verlag: Springer International Publishing

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Abstract

Numerical methods have extensively been used in solving fracture mechanics problems.

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Vorheriges Kapitel Experimental Methods

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Bueckner HF (1958) The propagation of cracks and the energy of elastic deformation. Trans Am Soc Mech Eng 80:1225–1230

Bueckner HF (1970) A novel principle for the computations of stress intensity factors. Zeitschrift fur Angewandte Mathematic und Mechanik 50:529–546MathSciNetMATH

Hartranft RJ, Sih GC (1973) Alternating method applied to edge and surface crack problems. In: Sih GC (ed) Mechanic of fracture, vol I, Methods of analysis and solutions of crack problems. Noordhoff International Publishing, The Netherlands, pp. 179–238

Bueckner HF (1971) Weight functions for the notched bar. Zeitschrift fur Angewandte Mathematic und Mechanik 51:97–109MathSciNetCrossRef

Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech Trans ASME 24:361–364

Paris PC, Sih GC (1965) Stress analysis of cracks. Fracture toughness testing and its applications. American Society for Testing and Materials, Philadelphia, pp 30–81CrossRef

Sih GC, Paris PC, Erdogan F (1962) Crack-tip stress-intensity factors for plane extension and plate bending problems. J Appl Mech Trans ASME 29:306–312CrossRef

Sih GC (1973) Handbook of stress intensity factors. Lehigh University, Bethlehem, Pennsylvania, Institute of Fracture and Solid Mechanics

Cartwright DJ, Rooke DP (1979) Green’s functions in fracture mechanics. In: Smith RA (ed) Fracture mechanics. Pergamon Press, pp 91–123

10.

Rice JR (1972) Some remarks on the elastic crack-tip stress fields. Int J Solids Struct 8:751–758CrossRef

11.

Paris PC, McMeeking RM, Tada H (1976) The weight function method for determining stress intensity factors. Crack and fracture, STP 601. American Society for Testing and Materials, Philadelphia, pp 471–489CrossRef

12.

Grandt AF (1975) Stress intensity factor for some through-cracked fastener holes. Int J Fract 11:283–294CrossRef

13.

Petroski HJ, Achenbach JD (1978) Computation of the weight function from a stress intensity factor. Eng Fract Mech 10:257–266CrossRef

14.

Muskhelishvili NI (1975) Some basic problems of the mathematical theory of elasticity (Trans from the Russian by Radok JRM), 2nd edn. Noordhoff International Publishers, The Netherlands

15.

Gross B, Srawley JE, Brown WF Jr (1964) Stress intensity factors for a single-edge notch tension specimen by boundary collocation of a stress function. NASA NT D-2395

16.

Gross B, Srawley JE (1965) Stress-intensity factors for single-edge-notch specimens in bending or combined bending and tension by boundary collocation of a stress function. NASA NT D-2603

17.

Gross B, Srawley JE (1965) Stress-intensity factors for three-point bend specimens by boundary collocation. NASA NT D-3092

18.

Kobayashi AS, Cherepy RB, Kinsel WC (1964) A numerical procedure for estimating the stress intensity factor of a crack in a finite plate. J Basic Eng 86:681–684CrossRef

19.

Kantorovich LV, Krylov VI (1964) Approximate methods of higher analysis. Interscience, New YorkMATH

20.

Irwin GR (1958) The crack extension force for a crack at a free surface boundary. U.S, Naval Research Laboratory Report, p 5120

21.

Lachenbruch AH (1961) Depth and spacing of tension cracks. J Geophy Res 66:4213–4292

22.

Smith FW, Emery AF, Kobayashi AS (1961) Stress intensity factors for semi-circular cracks, part II - Semi-infinite solid. J Appl Mech Trans ASME 34:953–959CrossRef

23.

Smith FW, Alavi MJ (1971) Stress intensity factors for a penny shaped crack in a half-space. Eng Fract Mech 3:241–254CrossRef

24.

Shah RC, Kobayashi AS (1972) “Stress intensity factor for an elliptical crack approaching the surface of a plate in bending”, Stress Analysis and Growth of Cracks, STP 513. American Society for Testing and Materials, Philadelphia, pp 3–21

25.

Shah RC, Kobayashi AS (1973) Stress intensity factor for an elliptical crack approaching the free surface of a semi-infinite solid. Int J Fract 9:133–146CrossRef

26.

Sneddon IN (1973) Integral transform methods. In: Sih GC (ed) Mechanics of fracture, vol 1 methods of analysis and solution of crack problems. Noordhoff International Publishers, The Netherlands, pp 315–351

27.

Bilby BA, Eshelby JD (1968) Dislocations and the theory of fracture. In: Liebowitz H (ed) Fracture-an advanced treatise, vol 1. Academic Press, pp 99–182

28.

Zienkiewicz OC (1967) The finite element method. McGraw-Hill

29.

Zienkiewicz OC, Cheung YK (1967) The finite element method in structural and continuum mechanics. McGraw-Hill

30.

Chan SK, Tuba IS, Wilson WK (1970) On the finite element method in linear fracture mechanics. Eng Fract Mech 2:1–17CrossRef

31.

Henshell RD, Shaw KG (1975) Crack tip elements are unnecessary. Int J Numer Methods Eng 9:495–507CrossRef

32.

Barsoum RS (1976) On the use of isoparametric finite elements in linear fracture mechanics. Int J Numer Methods Eng 10:25–31CrossRef

33.

Tracey DM (1971) Finite elements for determination of crack tip elastic stress intensity factors. Eng Fract Mech 3:255–265CrossRef

34.

Wilson WK (1973) Finite element methods for elastic bodies containing cracks. In: Sih GC (ed) Mechanics of fracture, vol 1, Methods of analysis and solution of crack problems. Noordhoff International Publishers, The Netherlands, pp 484–515

35.

Pu SL, Hussain MA (1978) The collapsed cubic isoparametric element as a singular element for crack problems. Int J Numer Methods Eng 12:1121–1142CrossRef

Titel: Numerical Methods
verfasst von: Emmanuel E. Gdoutos
Verlag: Springer International Publishing
Buch: Fracture Mechanics
Print ISBN: 978-3-030-35097-0

Electronic ISBN: 978-3-030-35098-7

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-35098-7_16

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