In this paper, the authors present an internal state variable (ISV) cap plasticity model to provide a physical representation of inelastic mechanical behaviors of granular materials under pressure and shear conditions. The formulation is dependent on several factors: nonlinear elasticity, yield limit, stress invariants, plastic flow, and ISV hardening laws to represent various mechanical states. Constitutive equations are established based on a modified Drucker–Prager cap plasticity model to describe the mechanical densification process. To avoid potential numerical difficulties, a transition yield surface function is introduced to smooth the intersection between the failure and cap surfaces for different shapes and octahedral profiles of the shear failure yield surface. The ISV model for the test case of a linear-shaped shear failure surface with Mises octahedral profile is implemented into a finite element code. Numerical simulations using a steel metal powder are presented to demonstrate the capabilities of the ISV cap plasticity model to represent densification of a steel powder during compaction. The formulation is general enough to also apply to other powder metals and geomaterials.
Skip Nav Destination
Article navigation
January 2017
Research-Article
Smooth Yield Surface Constitutive Modeling for Granular Materials
Youssef Hammi,
Youssef Hammi
Center for Advanced Vehicular Systems,
Box 5405,
Mississippi State, MS 39762-5405
e-mail: yhammi@cavs.msstate.edu
Box 5405,
Mississippi State, MS 39762-5405
e-mail: yhammi@cavs.msstate.edu
Search for other works by this author on:
Tonya W. Stone,
Tonya W. Stone
Mem. ASME
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: stone@me.msstate.edu
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: stone@me.msstate.edu
Search for other works by this author on:
Bhasker Paliwal,
Bhasker Paliwal
Center for Advanced Vehicular Systems,
Box 5405,
Mississippi State, MS 39762-5405
e-mail: bhasker@cavs.msstate.edu
Box 5405,
Mississippi State, MS 39762-5405
e-mail: bhasker@cavs.msstate.edu
Search for other works by this author on:
Mark F. Horstemeyer,
Mark F. Horstemeyer
Mem. ASME
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: mfhorst@me.msstate.edu
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: mfhorst@me.msstate.edu
Search for other works by this author on:
Paul G. Allison
Paul G. Allison
Mem. ASME
Department of Mechanical Engineering,
University of Alabama,
Box 870276,
Tuscaloosa, AL 35487-0276
e-mail: pallison@eng.ua.edu
Department of Mechanical Engineering,
University of Alabama,
Box 870276,
Tuscaloosa, AL 35487-0276
e-mail: pallison@eng.ua.edu
Search for other works by this author on:
Youssef Hammi
Center for Advanced Vehicular Systems,
Box 5405,
Mississippi State, MS 39762-5405
e-mail: yhammi@cavs.msstate.edu
Box 5405,
Mississippi State, MS 39762-5405
e-mail: yhammi@cavs.msstate.edu
Tonya W. Stone
Mem. ASME
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: stone@me.msstate.edu
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: stone@me.msstate.edu
Bhasker Paliwal
Center for Advanced Vehicular Systems,
Box 5405,
Mississippi State, MS 39762-5405
e-mail: bhasker@cavs.msstate.edu
Box 5405,
Mississippi State, MS 39762-5405
e-mail: bhasker@cavs.msstate.edu
Mark F. Horstemeyer
Mem. ASME
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: mfhorst@me.msstate.edu
Department of Mechanical Engineering,
Mississippi State University,
Box 9552,
Mississippi State, MS 39762-9552
e-mail: mfhorst@me.msstate.edu
Paul G. Allison
Mem. ASME
Department of Mechanical Engineering,
University of Alabama,
Box 870276,
Tuscaloosa, AL 35487-0276
e-mail: pallison@eng.ua.edu
Department of Mechanical Engineering,
University of Alabama,
Box 870276,
Tuscaloosa, AL 35487-0276
e-mail: pallison@eng.ua.edu
1Corresponding author.
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 13, 2016; final manuscript received October 14, 2016; published online November 14, 2016. Assoc. Editor: Curt Bronkhorst.
J. Eng. Mater. Technol. Jan 2017, 139(1): 011010 (10 pages)
Published Online: November 14, 2016
Article history
Received:
June 13, 2016
Revised:
October 14, 2016
Citation
Hammi, Y., Stone, T. W., Paliwal, B., Horstemeyer, M. F., and Allison, P. G. (November 14, 2016). "Smooth Yield Surface Constitutive Modeling for Granular Materials." ASME. J. Eng. Mater. Technol. January 2017; 139(1): 011010. https://doi.org/10.1115/1.4034987
Download citation file:
Get Email Alerts
Cited By
Evaluation of Machine Learning Models for Predicting the Hot Deformation Flow Stress of Sintered Al–Zn–Mg Alloy
J. Eng. Mater. Technol (April 2025)
Blast Mitigation Using Monolithic Closed-Cell Aluminum Foam
J. Eng. Mater. Technol (April 2025)
Irradiation Damage Evolution Dependence on Misorientation Angle for Σ 5 Grain Boundary of Nb: An Atomistic Simulation-Based Study
J. Eng. Mater. Technol (July 2025)
Related Articles
Quasi-Static and Dynamic Behavior of Inconel 625 Obtained by Laser Metal Deposition: Experimental Characterization and Constitutive Modeling
J. Eng. Mater. Technol (October,2021)
Modeling of Microstructure Effects on the Mechanical Behavior of Ultrafine-Grained Nickels Processed by Severe Plastic Deformation by Crystal Plasticity Finite Element Model
J. Eng. Mater. Technol (April,2015)
A Constitutive Model Fitting Methodology for Ductile Metals Using Cold Upsetting Tests and Numeric Optimization Techniques
J. Eng. Mater. Technol (January,2019)
Determinist-Probabilistic Concept in Modeling Fatigue Damage Through a Micromechanical Approach
J. Eng. Mater. Technol (January,2010)
Related Proceedings Papers
Related Chapters
Microstructure Evolution and Physics-Based Modeling
Ultrasonic Welding of Lithium-Ion Batteries
Introduction to Stress and Deformation
Introduction to Plastics Engineering
A Review on Prediction over Pressured Zone in Hydrocarbon Well Using Seismic Travel Time through Artificial Intelligence Technique for Pre-Drilling Planing
International Conference on Software Technology and Engineering, 3rd (ICSTE 2011)