Deformation in structural materials emerges from interactions across electronic,atomic, microstructural, and continuum scales. At the smallest scale, changes inelectronic structure affect bonding and defect energetics; at larger scales, theseeffects influence defect motion, damage localization, and structural response. Thispaper proposes a thermodynamically consistent research framework for connectingthese scales. Selected regions containing defects or evolving bonds are treated withelectronic-structure calculations, while surrounding material is represented with anatomistic model and a continuum constitutive description.Three testable modeling hypotheses are introduced. First, deformation resistance may depend on a history-dependent internal state describing deformation defects. Second, the effective transfer of fine-scale information may depend on spatialgradients in local deformation activity. Third, a nonlocal field may represent spatialcorrelations among defects that are absent from purely local constitutive models.A variational formulation, candidate governing equations, calibration strategy, validation plan, and potential applications to structural materials are presented.The proposed relations are research hypotheses rather than established universal physical laws. Their use requires material-specific parameterization, verification, and independent experimental or computational validation. The frameworkis intended to support falsifiable studies of multiscale deformation, not to replacematerial testing or validated engineering design procedures.
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Khaled Aldhufri (2026) studied this question.
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