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However, when it does occur, the crack tip stress field can be split up into two parts. One part will be related to the geometry of the crack and the other part will be related to the actual material properties of the component. The crack tip stresses can then be expressed in two forms as following. 1)
Either by solving the system of equations for crack tip stresses using Newton-Raphson iteration or by using a handbook such as one of Watson and Kent's book or other &qNagel's Civil and Mechanical Engineering. Note that the superposition method is different from the potentially applicable handbook method. In the latter, the geometry of the problem, length, width, thickness, etc. must be accurately obtained as required for crack tip stresses. However, superposition only requires the crack length and the applied load, and as long as it is not of finite type, it will be as accurate. The crack length and the applied load are also readily obtained from literature. Good information can also be obtained from the manufacturers of the component for their own products.
However, in some circumstances, there may be a known relationship between the fracture energies of the component and the corresponding fracture toughness. In such a case, the test section is much simpler than the entire component. For example, a component may have a length of several inches in comparison to the width of the specimen. This means that the length of the specimen can be several times longer than the length of the crack in a loaded test. This is rarely the case for other components that bring about a fracture toughness problem.
It should be pointed out that all sorts of cracks can be dealt with, including edge cracks, open cracks, a fracture in a three-dimensional hexagonal prism, a patch test, etc. The stress intensity factor relates the engineering stresses of a crack to its engineering cracks. Sufficient knowledge on the stress intensity factor is critical to the design of structures and constructions, thus substituting it with other methods is definitely not intended to be an option. d2c66b5586