Numerical approach to particle breakage under different loading conditions

Abstract Edge loading of an semi-infinite elastic sheet is of interest to many engineering applications. In this paper the penetration problem involving a rigid indentor and an elastic semi-infinite sheet of uniform thickness is addressed using a combined analytical and numerical approach. The tenth-order approximate theory of stretching of an isotropic sheet is applied to formulate the governing differential equations. Solutions are then obtained using Fourier transforms for various loading conditions and numerical schemes are employed to calculate the three dimensional state of stress throughout the sheet. The influence of the aspect ratio on the resulting stress state is studied. Limit solutions for thin sheet and thick sheet are presented. Finite element analyses of the same loading conditions are also performed. Results are compared with those of the tenth-order theory and the stress distribution assumptions of the tenth-order theory are examined.

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Mechanism-Based Numerical Approach to Ductile Fracture in an 2024–T3 Aluminium Alloy

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.627.74 ◽

2014 ◽

Vol 627 ◽

pp. 74-78

Author(s):

Wei Jiang ◽

Ya Zhi Li ◽

Yi Xiu Shu ◽

Masanori Kikuchi

Keyword(s):

Aluminum Alloy ◽

Ductile Fracture ◽

Shear Fracture ◽

Complex Loading ◽

Numerical Approach ◽

Shear Loading ◽

Constitutive Relationship ◽

Propagation Path ◽

Loading Conditions ◽

Ductile Materials

Ductile fracture of 2024-T3 aluminum alloy has been investigated under tensile and shear loading conditions. In order to predict rupture, a void–based meso–damage constitutive relationship which can deal with both tensile and shear problems is developed and implemented in commercial software ABAQUS. The tensile and shear fracture behaviors including the load–displacement response and crack propagation path, of 2024–T3 aluminum alloy are analyzed using the proposed approach and compared with experimental data. It is shown that the proposed approach can be used to predict the failure of ductile materials under complex loading conditions.

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Internal erosion of gravelly mudstone due to drying/wetting and hydraulic pressure cycles in oedometer test.

Canadian Geotechnical Journal ◽

10.1139/cgj-2021-0137 ◽

2021 ◽

Author(s):

Noor M. Mohamed Nihaaj ◽

Takashi Kiyota ◽

Matthew Gapuz Chua

Keyword(s):

Particle Breakage ◽

Internal Erosion ◽

Hydraulic Pressure ◽

Combined Effects ◽

Loading Conditions ◽

Vertical Load ◽

Vertical Strain ◽

Oedometer Test ◽

Penetration Tests ◽

Oedometer Tests

When disintegrated mudstone due to the slaking, subjected to hydraulic pressure, could lead to internal erosion. To examine the combined effects of slaking and internal erosion of gravelly mudstone in 1D deformation under a constant vertical load, a series of modified oedometer tests and laboratory penetration tests were conducted with drying/wetting and hydraulic pressure cycles. Some loading conditions showed the sever erosion in progressing of the cycle, susceptibility of the internal erosion was evaluated in terms of non-filter and fitter factors coefficient Keywords: Vertical strain, Slaking, Internal-erosion, Particle-breakage.

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