Void coalescence within periodic clusters of particles |
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Authors: | CIA Thomson MJ Worswick DJ Lloyd |
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Institution: | a Department of Mechanical and Aerospace Engineering, Carleton University, Colonel By Dr., Ottawa, Ont., Canada K1S 5B6 b Department of Mechanical Engineering, University of Waterloo, Waterloo, Ont., Canada N2L 3G1 c Department of Mechanical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6 d Kingston Research and Development Centre, ALCAN International Ltd. 945 Princess St., Kingston, Ont., Canada K7L 5L9 |
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Abstract: | The effect of particle clustering on void damage rates in a ductile material under triaxial loading conditions is examined using three-dimensional finite element analysis. An infinite material containing a regular distribution of clustered particles is modelled using a unit cell approach. Three discrete particles are introduced into each unit cell while a secondary population of small particles within the surrounding matrix is represented using the Gurson-Tvergaard-Needleman (GTN) constitutive equations. Deformation strain states characteristic of sheet metal forming are considered; that is, deep drawing, plane strain and biaxial stretching. Uniaxial tensile stress states with varying levels of superimposed hydrostatic tension are also examined.The orientation of a particle cluster with respect to the direction of major principal loading is shown to significantly influence failure strains. Coalescence of voids within a first-order particle cluster (consisting of three particles) is a stable event while collapse of inter-cluster ligaments leads to imminent material collapse through void-sheeting. |
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Keywords: | A Ductility B Anisotropic material B Particulate reinforced material C Finite elements |
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