University of Minnesota
Aerospace Engineering and Mechanics
Fall 2025 Seminar Series
Friday, October 24, 2025
209 Akerman Hall
2:30pm-4:30pm
AEM Seminar:
Modeling the Statistical Thermomechanics of High-Stress Triaxiality Porosity-based Ductile Damage
Abstract:
Porosity-based
ductile damage within polycrystalline metallic materials is known to be
strongly dependent upon microstructural details for light to moderate
shock loading conditions. This is presumed to be dictated by spatially
distributed stress conditions and defect pore nucleation strength due to
the statistical aggregate nature of the material. During shock loading,
in addition to pore nucleation and growth, the material deforms via
finite elastic and plastic mechanisms. The power delivered to the
material during shock loading is distributed to each deformation
mechanism as stored and dissipated power with change of temperature by
both Thompson-Joule and plastic power dissipation effects. A new
finite deformation probabilistic porosity-based ductile damage model for
high triaxiality conditions is presented which represents pore
nucleation by a new combined probability distribution for stress and
pore nucleation strength distributions. This nucleation model is derived
from experimental and computational physics data. A new isotropic
plasticity model is included in the damage model which accounts for both
thermally activated and phonon-drag regimes of dislocation motion with
dislocation density as the primary state variable. This model accounts
for both stored energy via an effective temperature measure and thermal
energy via kinetic-vibrational temperature. This formulation also
proposes an expression for the Taylor-Quinney factor which is guided by
second-law restrictions. Porosity growth is represented by a
thick-walled sphere unit cell approach which allows for inertial
resistance to growth and facilitated
by plastic deformation. A
governing equation for thick wall sphere growth due to applied external
pressure is derived which also accounts for surface energy and kinetic
energy. Closure of this governing equation is achieved with a
reduced-order model of inertial power as a function of loading
conditions. This reduced-order model is derived from a thick-walled
sphere computed database by employing the isotropic plasticity model to
perform varying initial temperature and strain rate condition
thick-walled sphere calculations. The finite deformation ductile damage
model is thermodynamically consistent and accounts for energy
partitioned to finite-elasticity, dislocation slip plasticity,
dislocation energy storage, kinetic energy, surface energy, and thermal
energy. The physics computation work will be presented and connections
with experiments will be made. Results for the ductile damage model will
also be presented and compared with plate-impact experiments conducted
on high-purity tantalum.
Biography:Dr.
Curt A. Bronkhorst is Harvey D. Spangler Professor of Applied Mechanics
at the University of Wisconsin – Madison in the Department of
Mechanical Engineering and associate appointments in the Nuclear
Engineering Department and Materials Science and Engineering
Department.
Prior appointments include Senior Scientist in the Theoretical Division
at Los Alamos National Laboratory and Senior Scientist at Weyerhaeuser
Company. He is director of the Army Research Laboratory funded Center
for Extreme Events in Structurally Evolving
Materials and guest
scientist at Los Alamos National Laboratory. Bronkhorst is emeritus
Honorary Commander for the Wisconsin Air National Guard 115th Fighter
Wing. He is fellow of the American Society of Mechanical Engineers and a
vice-chair of the ASME Materials
Division Executive Committee. He is
Associate Editor of the International Journal of Plasticity and also
president of Northland Partners, LLC. The Theoretical and Computational
Mechanics of Materials Group Website:
https://uwtcmmg.engr.wisc.edu/
*Refreshments to follow in 209 Akerman Hall
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Department of Aerospace Engineering & Mechanics, University of Minnesota - Twin Cities