An effective yield function is derived for a porous ductile solid near a state of failure by microvoid coalescence. Homogenization theory combined with limit analysis are used to that end. A cylindrical cell is taken to contain a coaxial cylindrical void of finite height. Plastic flow in the intervoid matrix is described by J2 theory while regions above and below the void remain rigid. Velocity boundary conditions are employed which are compatible with an overall uniaxial straining for the cell, a postlocalization kinematics that is ubiquitous during the coalescence of neighboring microvoids in rate-independent solids. Such boundary conditions are not of the uniform strain rate kind, as is the case for Gursonlike models. A similar limit analysis problem for a square-prismatic cell containing a square-prismatic void was posed long ago (Thomason, P. F., 1985, “Three-Dimensional Models for the Plastic Limit–Loads at Incipient Failure of the Intervoid Matrix in Ductile Porous Solids,” Acta Metallurgica, 33, pp. 1079–1085). However, to date a closed-form solution to this problem has been lacking. Instead, an empirical expression of the yield function proposed therein has been widely used in the literature. The fully analytical expression derived here is intended to be used concurrently with a Gursonlike yield function in numerical simulations of ductile fracture.
Skip Nav Destination
Article navigation
March 2014
Research-Article
Effective Yield Criterion Accounting for Microvoid Coalescence
A. Amine Benzerga,
A. Amine Benzerga
Associate Professor
Mem. ASME
Department of Materials
Science and Engineering,
Texas A&M University,
e-mail: benzerga@tamu.edu
Mem. ASME
Department of Aerospace Engineering
,Department of Materials
Science and Engineering,
Texas A&M University,
College Station, TX 77843
e-mail: benzerga@tamu.edu
Search for other works by this author on:
Jean-Baptiste Leblond
Jean-Baptiste Leblond
Professor
Université Paris VI,
Paris Cedex 05 75252,
e-mail: jbl@lmm.jussieu.fr
Institut Jean-Le-Rond-d'Alembert
,Université Paris VI,
Tour 65-55 4, Place Jussieu
,Paris Cedex 05 75252,
France
e-mail: jbl@lmm.jussieu.fr
Search for other works by this author on:
A. Amine Benzerga
Associate Professor
Mem. ASME
Department of Materials
Science and Engineering,
Texas A&M University,
e-mail: benzerga@tamu.edu
Mem. ASME
Department of Aerospace Engineering
,Department of Materials
Science and Engineering,
Texas A&M University,
College Station, TX 77843
e-mail: benzerga@tamu.edu
Jean-Baptiste Leblond
Professor
Université Paris VI,
Paris Cedex 05 75252,
e-mail: jbl@lmm.jussieu.fr
Institut Jean-Le-Rond-d'Alembert
,Université Paris VI,
Tour 65-55 4, Place Jussieu
,Paris Cedex 05 75252,
France
e-mail: jbl@lmm.jussieu.fr
Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received May 8, 2013; final manuscript received June 26, 2013; accepted manuscript posted July 1, 2013; published online September 18, 2013. Editor: Yonggang Huang.
J. Appl. Mech. Mar 2014, 81(3): 031009 (7 pages)
Published Online: September 18, 2013
Article history
Received:
May 8, 2013
Revision Received:
June 26, 2013
Accepted:
July 1, 2013
Citation
Benzerga, A. A., and Leblond, J. (September 18, 2013). "Effective Yield Criterion Accounting for Microvoid Coalescence." ASME. J. Appl. Mech. March 2014; 81(3): 031009. https://doi.org/10.1115/1.4024908
Download citation file:
Get Email Alerts
Enhancement of Synchronization in Nonlinear MEMS Oscillator Based on Electrothermal Adjustment
J. Appl. Mech (April 2025)
Related Articles
Yield Limits of Plates at Extremely High Heat Flux
J. Heat Transfer (February,1998)
Decreased Elastic Energy Storage, Not Increased Material Stiffness, Characterizes Central Artery Dysfunction in Fibulin-5 Deficiency Independent of Sex
J Biomech Eng (March,2015)
Mechanics of Chiral Honeycomb Architectures With Phase Transformations
J. Appl. Mech (November,2019)
Numerical Investigation of Presliding in Viscoplastic Spherical Contacts
J. Appl. Mech (June,2023)
Related Proceedings Papers
Related Chapters
Conclusions
Clean and Efficient Coal-Fired Power Plants: Development Toward Advanced Technologies
Approximate Analysis of Plates
Design of Plate and Shell Structures
System Automation
Pipeline Operation & Maintenance: A Practical Approach, Second Edition