Application of finite element method for determination of stress intensity factor and plastic zone geometry in an aluminium alloy sheet under uniaxial tension |
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Authors: | A K Panda S Misra S C Misra |
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Affiliation: | (1) Metallurgical Engineering Department, Regional Engineering College, 769 008 Rourkela, India;(2) Civil Engineering Department, Orissa University of Agriculture and Technology, 751 003 Bhubaneswar, India |
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Abstract: | High strength materials have gained prominence in the fields of aero-structures, space missiles, ship-building, pressure vessels
etc. However, high strength materials are often characterised by low values of crack resistance or fracture toughness. Knowledge
of stress intensity factor (SIF) is essential to predict their fracture toughness. SIF values can be obtained both theoretically
and experimentally. Theoretical methods include analytical techniques as well as the finite element method (FEM). The former
is used for simpler geometries and the latter for complicated geometries of engineering structures. The SIF as a function
of crack size in an aluminium alloy 2024-T3 (Al-4·5% Cu, 1·5% Mg, 0·6% Mn) sheet was determined by a computer method. These values were obtained directly from the stresses
as well as indirectly from strain energy release rateG andJ integral. The results agree well with the normalised values obtained from an ASTM formula. The size and shape of the plastic
zone at the crack tip have been determined as a function of nominal stress for a fixed crack length. The plastic zone has
the form of two ellipsoids with their maximum spreads oriented around 69° to the crack axis. |
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Keywords: | Finite element method stress intensity factor plastic zone fracture toughness strain energy release rate J-integral |
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