This book presents recent advances related to the following two topics: how mechanical fields close to material or geometrical singularities such as cracks can be determined; how failure criteria can be established according to the singularity degrees related to these discontinuities. Contents 1. Review of Continuum Mechanics and the Behavior Laws 7 2.
Kinematic equations 9 2. Equilibrium equations in a volume element 16 2. Behavior laws 20 2. Energy formalism 50 2. Solution of systems of equations of continuum mechanics and constitutive behavior law 63 2.
Review of the finite element solution 72 Chapter 3. Overview of Fracture Mechanics 81 3. Fracture process 83 3. Basic modes of fracture 84 Chapter 4. Determination of stress, strain and displacement fields around a crack in a homogeneous, isotropic and linearly elastic medium 90 4. Plastic analysis around a crack in an isotropic homogeneous medium 4. Case of a heterogeneous medium: elastic multimaterials 4.
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New modeling approach to singular fracture fields Chapter 5. Modeling of a singular field close to the crack tip 5. Energetic methods 5. Nonlinear behavior 5. Specific finite elements for the calculation of cracked structures 5. Study of a finite elements program in a 2D linear elastic medium. Application to the calculation of the J-integral in mixed mode 5. Crack Propagation 6. Crack extension 6. Crack extension criterion in an elastic plastic medium 6.
Crack-extension criterion from V-notches 6. Fracture following crack growth under high-cycle number fatigue 6. Crack propagation laws 6. Case of the variable amplitude loading 6.
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Crack retardation effect due to overloading 6. Localization and sensitivity to rupture of cracks 7. Extension of the initiated crack under fatigue Chapter 8. The latter boundary seems to be reasoned, since if K max exceeds the fracture toughness either K C or K IC , a quasi-static failure will occur and fatigue crack growth is no longer feasible.
Further, it should be identified that the K max value causing specimen failure in the last cycle of a fatigue crack growth test may well very from K C or K IC measured in a fracture toughness experiment.
- Application of Fracture Mechanics.
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From the standpoint of fracture mechanics, the incidence of a lower boundary in region I is not so obvious. If a K-value can be defined for the tip of a crack, a singular stress field should be on the scene and micro-plasticity at the tip of the crack should abound. These cracks occur as micro-cracks at the beginning of the fatigue life starting at the material surface or, more exactly, in the subsurface. Figure 2: Typical Crack Growth Rate vs.
Stress Intensity Range. An example of the practical application to design may be given in the main structural framework of the Beaubourg Centre, Paris, France.
Application of Fracture Mechanics :: Total Materia Article
The design of the Beaubourg Centre was the subject of an international architectural competition, launched in Of the schemes submitted, the winning architects were Piano and Rogers, and the winning engineering design was that of Ove Arup and Partners. The latter were inspired to use steel castings in their design following a visit to Japan, where they saw spherical cast steel nodes in the three dimensional structures at "Osaka " which possessed a clean simplicity rarely found elsewhere.
The Beaubourg building has six floors and is divided lengthwise into 13 bays, each measuring Because cast steel was a new material to the design engineers, it was necessary to devise, in collaboration with the constructional engineers, new methods for testing and inspection. Ultrasonic testing of the nodes for the main girders is shown in progress in the production stage. It was appreciated that some defects were inevitable in cast and welded components and that non-destructive tests could not be relied upon to reveal every shortcoming.
Fracture Mechanics and Crack Growth
The fracture toughness tests showed the cast steel exhibited the required standards of quality. After preliminary welding tests had indicated the correct welding procedures, ultimate tests to collapse proved that it was possible to attain satisfactory and, in some cases, excellent results. Enter a phrase to search for:. Search by. Full text Keywords. Headings Abstracts. Total Materia Extended Range includes the largest database of fracture mechanics parameters for hundreds of metal alloys and heat treatments conditions.
K1C, KC, crack growth and Paris law parameters are given, with the corresponding graph of crack growth. Monotonic properties are added for the reference, as well as estimates of missing parameters based on monotonic properties where applicable. Enter the material of interest into the quick search field. After clicking the material from the resulting list, a list of subgroups that are standard specifications appears. Because Total Materia Extended Range fracture mechanics parameters are neutral to standard specifications, you can review fracture mechanics data by clicking the appropriate link for any of the subgroups.
The data are given in a tabular format, with the Paris curve Region II where applicable. Explicit references to the data sources are given for each dataset. Release DataPLUS, a new module providing data subsets covering joints information, lubricants and coolants, material dimensions, tribology, and coatings information helps drive even more accurate material selections! Total Materia remains the only tool which will be used for this purpose.
Application of Fracture Mechanics Abstract: Fracture mechanics is a useful method of characterizing fracture toughness, fatigue crack growth, or stress-corrosion crack growth behavior in terms of structural design parameters familiar to the engineer, namely stress and flaw size. Stress Intensity Range An example of the practical application to design may be given in the main structural framework of the Beaubourg Centre, Paris, France.
Date Published: Sep
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