Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver

Francis, Noah M.; Lebensohn, Ricardo A.; Pourahmadian, Fatemeh; Dingreville, Rémi

doi:10.1002/nme.7651

Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver

Journal Article · Fri Jan 03 00:00:00 EST 2025 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.7651· OSTI ID:2497355

Francis, Noah M. ^[1]; Lebensohn, Ricardo A. ^[2]; Pourahmadian, Fatemeh ^[3]; ^[4]

Univ. of Colorado, Boulder, CO (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Univ. of Colorado, Boulder, CO (United States)
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies

This work presents a micromechanical spectral formulation for obtaining the full-field and homogenized response of elastoplastic micropolar composites. A closed-form radial-return mapping is derived from thermodynamics-based micropolar elastoplastic constitutive equations to determine the increment of plastic strain necessary to return the generalized stress state to the yield surface, and the algorithm implementation is verified using the method of numerically manufactured solutions. Then, size-dependent material response and micro-plasticity are shown as features that may be efficiently simulated in this micropolar elastoplastic framework. The computational efficiency of the formulation enables the generation of large datasets in reasonable computing times.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; NA0003525

OSTI ID:: 2497355

Alternate ID(s):: OSTI ID: 2503979
OSTI ID: 2517895
OSTI ID: 2500865

Report Number(s):: LA-UR--24-29372; SAND--2025-01662J

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 1 Vol. 126; ISSN 0029-5981

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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composites
fast Fourier transform
homogenization
micropolar plasticity

Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver

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