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The critical value of stress intensity factor in mode I loading measured under plane strain conditions is known as the plane strain fracture toughness, denoted . [1] When a test fails to meet the thickness and other test requirements that are in place to ensure plane strain conditions, the fracture toughness value produced is given the ...
The fracture toughness and the critical strain energy release rate for plane stress are related by = where is the Young's modulus. If an initial crack size is known, then a critical stress can be determined using the strain energy release rate criterion.
where is the fracture toughness, ′ = / for plane strain and ′ = for plane stress. The critical stress intensity factor for plane stress is often written as K c {\displaystyle K_{\rm {c}}} . Examples
This new material property was given the name fracture toughness and designated G Ic. Today, it is the critical stress intensity factor K Ic, found in the plane strain condition, which is accepted as the defining property in linear elastic fracture mechanics.
The mechanical properties of 4340 are highly dependent on the heat treatment. 4340 can commonly have yield strengths of 740-1860 MPa, tensile strengths of 860-1980 MPa, elongations of 11-23%, and plane strain fracture toughness of 53-110 MPa√m.
Figure 7.1 Plane stress state in a continuum. In continuum mechanics, a material is said to be under plane stress if the stress vector is zero across a particular plane. When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2 ...
The J-integral represents a way to calculate the strain energy release rate, or work per unit fracture surface area, in a material. [1] The theoretical concept of J-integral was developed in 1967 by G. P. Cherepanov [2] and independently in 1968 by James R. Rice, [3] who showed that an energetic contour path integral (called J) was independent of the path around a crack.
Fracture is largely determined by the fracture toughness ... 2-D plane stress or plane strain, 3-D bricks or tetrahedron types. ... Toggle the table of contents.