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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 designation . Fracture toughness is a quantitative way of expressing a material's resistance to crack propagation and standard values for a given material are generally ...
The advantages of the Watts-Ford test are that it is convenient for testing thin sheets or strips, it is similar to a rolling process (in manufacturing analyses), frictional effects may be minimized, there is no 'barrelling' as would occur in a cylindrical compression test, and the plane strain deformation eases the analysis. Stress-strain curve
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.
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 stress intensity factor at the crack tip of a compact tension specimen is [4] = [() / / + / / + /] where is the applied load, is the thickness of the specimen, is the crack length, and is the effective width of the specimen being the distance between the centreline of the holes and the backface of the coupon.
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
Fracture strength, also known as breaking strength, is the stress at which a specimen fails via fracture. [2] This is usually determined for a given specimen by a tensile test, which charts the stress–strain curve (see image).
The methods of structural fracture mechanics are used as checking calculations to estimate sensitivity of a structure to its component failure. [citation needed] Catastrophe failure model and reserve ability of a complex system. The model [2] supposes that failure of several elements causes neighboring elements overloading. The model equation ...