🤖 AI Summary
This study addresses the modeling challenges of size-dependent mechanical responses and microplastic evolution in micropolar elastoplastic composites. Methodologically, we formulate a thermodynamically consistent micropolar elastoplastic constitutive model and derive, for the first time, a closed-form analytical solution for the radial return mapping algorithm, tightly coupling it with an efficient FFT-based spectral solver; numerical synthesis is employed to rigorously validate model fidelity. The contributions are threefold: (i) substantial computational acceleration enables large-scale, high-resolution full-field simulations and homogenization analysis; (ii) accurate capture of micromechanical plasticity mechanisms and intrinsic size effects; and (iii) generation of high-quality, physics-informed training datasets at reasonable computational cost—laying a robust foundation for data-driven constitutive modeling.
📝 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.