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Linear elastic fracture mechanics
2022Abstract This chapter describes the asymptotic elastic crack tip solutions for stress and displacement fields, and the concept of stress intensity factors for Mode I, Mode II, and Mode III loadings. Since in most engineering applications globally brittle fracture of a structure occurs by crack propagation in a direction perpendicular to ...
Lallit Anand +2 more
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Limits of Linear Elastic Fracture Mechanics
Journal of Pressure Vessel Technology, 1984This paper presents a simple procedure for determining the validity limits of linear elastic fracture mechanics (LEFM) calculations for low alloy steel (ferritic) structures. The procedure is limited to structures with flaws whose depths are 50 percent or less of the wall thickness of the component at the flaw location and to components which can be ...
J. M. Bloom, J. L. Hechmer
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Linear Elastic Fracture Mechanics
1997The quantitative statements of the Griffith theory [1] are based on elasticity theory and are applicable only to those materials that obey Hooke’s law up to the instant of fracture. In confirming his theory, Griffith used glass as the test material because at room temperature glass does follow Hooke’s law to the stress at fracture. Griffith’s work must
Bahram Farahmand +2 more
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Fundamentals of Linear Elastic Fracture Mechanics
2021Abstract The linear elastic fracture mechanics (LEFM) is the pillar of all fracture mechanics. In this chapter, it is presented in full, with complete derivations and many examples. Griffith's concept of the energy release rates is described, the elastic singular near-tip stress field is derived, and the stress intensity factors are ...
Zdeněk P. Bažant +2 more
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Linear elastic fracture mechanics
1989In this and the following chapter, the fracture mechanics concepts for the analysis of fracture will be discussed. With these concepts it will be possible to obtain the residual strength diagram and the maximum permissible crack size (Chapter 1). Following the arguments used in Chapter 1, the discussion will be limited to mode I loading (mixed mode ...
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Statistical considerations in linear elastic fracture mechanics
Journal of Aircraft, 1975Critical defect size distributions are estimated for various metals and for hot pressed silicon nitride using the Monte Carlo method. With regard to the critical flaw size computation, results obtained for the numerous materials are compared to the sensitivity or probability of detection of particular flaw sizes based on existing nondestructive ...
Edward Mark Lenoe +2 more
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A plasticity framework for (linear elastic) fracture mechanics
Journal of the Mechanics and Physics of Solids, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SALVADORI, Alberto, A.
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Linear-Elastic Fracture Mechanics
2016Solid bodies containing cracks can be characterized by defining a state of stress near a crack tip and the energy balance coupled with fracture. Introducing the Westergaard stress function and will allow the development of a significant stress analysis at the crack tip. These particular functions can be found elsewhere [12].
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Linear elastic fracture mechanics of duralumin
Canadian Metallurgical Quarterly, 1969AbstractOne desirable improvement of high-strength aluminum alloys often showing considerable anisotropy is the increase of their notch toughness in certain grain orientations. Although we know that material properties such as yield stress, fracture toughness, fatigue or stress corrosion behaviour generally have a strong directional dependence, the ...
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The Basis of Linear Elastic Fracture Mechanics
2016In this chapter we will discuss the use of elastic solutions to predict the strength of parts containing sharp cracks. Immediately, we are faced with the difficulty that, whether we consider the line crack or the elliptical crack with semiminor axis shrunk to zero, the stresses at the crack tip are infinite for any value of load.
C. K. H. Dharan, B. S. Kang, Iain Finnie
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