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In fracture mechanics, the stress intensity factor (K) is used to predict the stress state ("stress intensity") near the tip of a crack or notch caused by a remote load or residual stresses. [1] It is a theoretical construct usually applied to a homogeneous, linear elastic material and is useful for providing a failure criterion for brittle ...
In materials science, fracture toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited. A component's thickness affects the constraint conditions at the tip of a crack with thin components having plane stress conditions and thick components having plane strain ...
In a 1961 paper, P. C. Paris introduced the idea that the rate of crack growth may depend on the stress intensity factor. [4] Then in their 1963 paper, Paris and Erdogan indirectly suggested the equation with the aside remark "The authors are hesitant but cannot resist the temptation to draw the straight line slope 1/4 through the data" after reviewing data on a log-log plot of crack growth ...
The stress intensity factor is given by K = β σ π a , {\displaystyle K=\beta \sigma {\sqrt {\pi a}},} where σ {\displaystyle \sigma } is the applied uniform tensile stress acting on the specimen in the direction perpendicular to the crack plane, a {\displaystyle a} is the crack length and β {\displaystyle \beta } is a dimensionless ...
where E is the Young's modulus, ν is Poisson's ratio, and K I is the stress intensity factor in mode I. Irwin also showed that the strain energy release rate of a planar crack in a linear elastic body can be expressed in terms of the mode I, mode II (sliding mode), and mode III (tearing mode) stress intensity factors for the most general ...
The energy release rate is directly related to the stress intensity factor associated with a given two-dimensional loading mode (Mode-I, Mode-II, or Mode-III) when the crack grows straight ahead. [3] This is applicable to cracks under plane stress, plane strain, and antiplane shear.
Toggle the table of contents. Palmqvist method. ... In this case, the material's fracture toughness is given by the critical stress intensity factor K Ic. [2] Approach
The reduction in stress intensity factor due to high deformation can result in a flat R curve), as a crack propagates, the resistance to further crack propagation remains constant. Thus, the common failure criteria of G ≥ G c {\displaystyle G\geq G_{c}} is largely valid.