Void growth in an anisotropic ductile solid is studied by numerical analyses for three-dimensional (3D) unit cells initially containing a void. The effect of plastic anisotropy on void growth is the main focus, but the studies include the effects of different void shapes, including oblate, prolate, or general ellipsoidal voids. Also, other 3D effects such as those of different spacings of voids in different material directions and the effects of different macroscopic principal stresses in three directions are accounted for. It is found that the presence of plastic anisotropy amplifies the differences between predictions obtained for different initial void shapes. Also, differences between principal transverse stresses show a strong interaction with the plastic anisotropy, such that the response is very different for different anisotropies. The studies are carried out for one particular choice of void volume fraction and stress triaxiality.
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Effects of Plastic Anisotropy and Void Shape on Full Three-Dimensional Void Growth
Brian Nyvang Legarth,
Brian Nyvang Legarth
Associate Professor
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: bnl@mek.dtu.dk
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: bnl@mek.dtu.dk
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Viggo Tvergaard
Viggo Tvergaard
Professor Emeritus
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: viggo@mek.dtu.dk
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: viggo@mek.dtu.dk
Search for other works by this author on:
Brian Nyvang Legarth
Associate Professor
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: bnl@mek.dtu.dk
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: bnl@mek.dtu.dk
Viggo Tvergaard
Professor Emeritus
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: viggo@mek.dtu.dk
Department of Mechanical Engineering,
Solid Mechanics,
Technical University of Denmark,
Lyngby DK-2800 Kgs., Denmark
e-mail: viggo@mek.dtu.dk
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 25, 2018; final manuscript received January 26, 2018; published online March 14, 2018. Editor: Yonggang Huang.
J. Appl. Mech. May 2018, 85(5): 051007 (8 pages)
Published Online: March 14, 2018
Article history
Received:
January 25, 2018
Revised:
January 26, 2018
Citation
Legarth, B. N., and Tvergaard, V. (March 14, 2018). "Effects of Plastic Anisotropy and Void Shape on Full Three-Dimensional Void Growth." ASME. J. Appl. Mech. May 2018; 85(5): 051007. https://doi.org/10.1115/1.4039172
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