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Research Papers

Three-Dimensional Unit Cell Study of a Porous Bulk Metallic Glass Under Various Stress States

[+] Author and Article Information
S Gouripriya

Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, India

Parag Tandaiya

Department of Mechanical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, India
e-mail: parag.ut@iitb.ac.in

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received December 27, 2018; final manuscript received February 21, 2019; published online March 28, 2019. Assoc. Editor: A. Amine Benzerga.

J. Appl. Mech 86(6), 061010 (Mar 28, 2019) (10 pages) Paper No: JAM-18-1730; doi: 10.1115/1.4042995 History: Received December 27, 2018; Accepted February 21, 2019

Porous bulk metallic glasses (BMGs) exhibit an excellent combination of superior mechanical properties such as high strength, high resilience, large malleability, and energy absorption capacity. However, a mechanistic understanding of their response under diverse states of stress encountered in practical load-bearing applications is lacking in the literature. In this work, this gap is addressed by performing three-dimensional finite element simulations of porous BMGs subjected to a wide range of tensile and compressive states of stress. A unit cell approach is adopted to investigate the mechanical behavior of a porous BMG having 3% porosity. A parametric study of the effect of stress triaxialities T = 0, ±1/3, ±1, ±2, ±3, and ±∞, which correspond to stress states ranging from pure deviatoric stress to pure hydrostatic stress under tension and compression, is conducted. Apart from the influence of T, the effects of friction parameter, strain-softening parameter and Poisson’s ratio on the mechanics of deformation of porous BMGs are also elucidated. The results are discussed in terms of the simulated stress-strain curves, pore volume fraction evolution, strain to failure, and development of plastic deformation near the pore. The present results have important implications for the design of porous BMG structures.

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Figures

Grahic Jump Location
Fig. 1

Finite element simulation model of the unit cell having initial porosity f = 3%. 3D finite element mesh, nomenclature of node sets, position of user-defined spring element, and DOFs of the nodes of the spring element.

Grahic Jump Location
Fig. 5

(a) Macroscopic hydrostatic stress normalized by initial cohesion (c0) versus macroscopic volumetric strain obtained from simulations of a porous BMG (f = 3%) for hydrostatic compressive (T = −∞) and tensile (T = ∞) stress triaxialities, (b) pore volume fraction evolution with macroscopic volumetric strain for porous BMG having f = 3% corresponding to T = ±∞, and (c) macroscopic effective stress normalized by initial cohesion (c0) versus macroscopic effective strain for T = 0 for f = 3%

Grahic Jump Location
Fig. 2

Macroscopic effective stress normalized by initial cohesion (c0) versus macroscopic effective strain curves obtained from simulations of porous BMG having f = 3%, corresponding to various (a) compressive and (b) tensile stress triaxialities, respectively. Evolution of pore volume fraction with macroscopic effective strain obtained for various (c) compressive and (d) tensile stress triaxialities T, respectively

Grahic Jump Location
Fig. 6

Contour plots showing the evolution of maximum principal logarithmic plastic strain, λ1p, for porous BMG (f = 3%), at (a), (c), and (e) initial yield point A (marked on stress-strain curves in Figs. 5(a) and 5(c)); (b) point B (marked on stress-strain curve in Fig. 5(a)) for T = −∞; (d), (f) representative failure point C (marked on stress-strain curves in Figs. 5 (c) and 5(a)) for T = 0 and +∞, respectively.

Grahic Jump Location
Fig. 3

Contour plots showing the evolution of maximum principal logarithmic plastic strain λ1p in porous BMG (f = 3%), subjected to compressive stress triaxialities T = −1/3 ((a), (e), and (i)); T = −1((b), (f), and (j)); T = −2 ((c), (g), and (k)); T = −3 ((d), (h), and (l)), at different stages of deformation indicated by points A, B, and C, respectively, marked on the stress-strain curves in Fig. 2(a)

Grahic Jump Location
Fig. 4

Contour plots showing the evolution of a maximum principal logarithmic plastic strain λ1p in porous BMG (f = 3%), subjected to tensile stress triaxialities T = 1/3 ((a), (e), and (i)); T = 1((b), (f), and (j)); T = 2 ((c), (g), and (k)); T = 3 ((d), (h), and (l)), at different stages of deformation indicated by points A, B, and C, respectively, marked on the stress-strain curves in Fig. 2(b)

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