Open AccessBook
Fracture Mechanics: Fundamentals and Applications
Surjya Kumar Maiti
- 01 Jan 1978
1.2K
TL;DR: In this paper, a detailed discussion of fundamental concepts including linear elastic fracture mechanics (LEFM), yielding fracture mechanics, mixed mode fracture, and computational aspects of LEM are discussed.
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Abstract: Fracture mechanics studies the development and spreading of cracks in materials. The study uses two techniques including analytical and experimental solid mechanics. The former is used to determine the driving force on a crack and the latter is used to measure material's resistance to fracture. The text begins with a detailed discussion of fundamental concepts including linear elastic fracture mechanics (LEFM), yielding fracture mechanics, mixed mode fracture and computational aspects of linear elastic fracture mechanics. It explains important topics including Griffith theory of brittle crack propagation and its Irwin and Orowan modification, calculation of theoretical cohesive strength of materials through an atomic model and analytical determination of crack tip stress field. This book covers MATLAB programs for calculating fatigue life under variable amplitude cyclic loading. The experimental measurements of fracture toughness parameters KIC, JIC and crack opening displacement (COD) are provided in the last chapter.
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Citations
Fatigue and fracture of bovine dentin
TL;DR: In this article, the fatigue and fracture properties of bovine dentin are evaluated usingin vitro experimental analyses using double cantilever beam (DCB) specimens were prepared from Bovine maxillary molars and subjected to zeroto-tension cyclic loads.
Modeling of dynamic fracture and damage in two-dimensional trabecular bone microstructures using the cohesive finite element method.
TL;DR: In this paper, the microstructure of trabecular bone is modeled using the cohesive finite element method and cracks propagation analysis is carried out in two different 2D orthogonal sections cut from a three-dimensional 8 mm diameter cylindrical trabECular bone sample, where the bone tissue is modeled as an orthotropic material with the cohesive parameters calculated from the experimental fracture properties of the human cortical bone.
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Inter-layer bonding characterisation between materials with different degrees of stiffness processed by fused filament fabrication
TL;DR: In this paper, the cohesion between the strands of two materials with different stiffness, namely neat PLA and short carbon fibre reinforced PLA (CF-PLA), produced by FFF using advanced fracture mechanical techniques, was investigated.
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Formation of shear bands in drying colloidal dispersions
TL;DR: It is demonstrated that the bands seen behind the drying front are indeed associated with local shear strains, and the origins of these bands in the compressive forces associated with drying are revealed, and they affect the optical properties of colloidal films and coatings.
Machining-induced thermal damage in cortical bone: necrosis and micro-mechanical integrity
TL;DR: In this article, micro-pillar compression tests were performed in the machined sub-surface to identify changes in properties and failure modes caused by drilling, and it was revealed that at high cutting temperatures, the bone near the machining surface suffers from lower modulus (−42%), strength (−41%) and brittle behaviour, whereas the bulk bone remains undamaged with pristine properties and ductile behaviour.
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References
The Phenomena of Rupture and Flow in Solids
TL;DR: In this article, the authors investigated the effect of surface scratches on the mechanical strength of solids, and some general conclusions were reached which appear to have a direct bearing on the problem of rupture, from an engineering standpoint, and also on the larger question of the nature of intermolecular cohesion.
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
TL;DR: In this paper, an integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials.
8.2K
Yielding of steel sheets containing slits
TL;DR: In this article, a relation between extent of plastic yielding and external load applied was investigated, and panels containing internal and edge slits were loaded in tension and lengths of plastic zones were measured.
7.6K
•Book
The stress analysis of cracks handbook
Hiroshi Tada,Paul C. Paris,George R. Irwin +2 more
- 01 Jan 2000
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
A Critical Analysis of Crack Propagation Laws
Paul C. Paris,Fazil Erdogan +1 more
TL;DR: A critical analysis questions the validation of crack-propagation laws using limited data, suggesting that agreement with a wide range of data from multiple specimens and varying crack-extension rates is necessary for validation, proposing a new empirical law for this purpose.
6.7K