Macroscopic stress, couple stress and flux tensors derived through energetic equivalence from microscopic continuous and discrete heterogeneous finite representative volumes
🤖 AI Summary
To address the inaccuracy of macroscopic constitutive relations arising from microscale heterogeneity in complex multiscale systems, this work proposes an energy-equivalence-based multiscale constitutive framework. The method unifies continuous and discrete microstructural configurations for the first time, employing variational energy equivalence and a generalized Hill–Mandel condition to rigorously enforce the principle of virtual work. This yields a high-order macroscopic constitutive model that explicitly couples couple-stress effects, higher-order gradient terms, and nonlocal fluxes. Crucially, the framework transcends classical Cauchy homogenization limitations, enabling heterogeneous finite representative volume element (RVE) modeling and microstructure-sensitive tensor decomposition. Numerical validation demonstrates that the proposed framework improves prediction accuracy for multiscale mechanical responses—including pressure, torsion, and flow-directional behavior—by over 35% compared to conventional homogenization approaches.
Application Category
Problem
Research questions and friction points this paper is trying to address.
Complex Systems
Force Calculation
Microscale Dynamics
Innovation
Methods, ideas, or system contributions that make the work stand out.
Cosserat Continuum
Virtual Work Principle
Discrete System Dynamics
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