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DOE OSTI · 2497355

Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver

Francis, Noah M. [Department of Civil, Environmental &amp, Architectural Engineering University of Colorado Boulder Boulder Colorado USA, Center for Integrated Nanotechnologies Sandia National Laboratories Albuquerque New Mexico USA]·Lebensohn, Ricardo A. [Theoretical Division Los Alamos National Laboratory Los Alamos New Mexico USA]·Pourahmadian, Fatemeh [Department of Civil, Environmental &amp, Architectural Engineering University of Colorado Boulder Boulder Colorado USA, Department of Applied Mathematics University of Colorado Boulder Boulder Colorado USA]·Dingreville, Rémi [Center for Integrated Nanotechnologies Sandia National Laboratories Albuquerque New Mexico USA] (ORCID:000000031613695X)
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Abstract

ABSTRACT 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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42 ENGINEERINGcompositesfast Fourier transformhomogenizationmicropolar plasticity

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Francis, Noah M. [Department of Civil, Environmental &amp, Architectural Engineering University of Colorado Boulder Boulder Colorado USA, Center for Integrated Nanotechnologies Sandia National Laboratories Albuquerque New Mexico USA], Lebensohn, Ricardo A. [Theoretical Division Los Alamos National Laboratory Los Alamos New Mexico USA], Pourahmadian, Fatemeh [Department of Civil, Environmental &amp, Architectural Engineering University of Colorado Boulder Boulder Colorado USA, Department of Applied Mathematics University of Colorado Boulder Boulder Colorado USA], Dingreville, Rémi [Center for Integrated Nanotechnologies Sandia National Laboratories Albuquerque New Mexico USA] (ORCID:000000031613695X). 2025-01-03. Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver. https://doi.org/10.1002/nme.7651

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