Geometry of interactions in complex bodies
Chiara de Fabriitis, Paolo Maria Mariano
TL;DR
This paper investigates the geometric structures underlying bulk and surface interactions in complex bodies, emphasizing the role of diffuse interfaces and proving covariance of surface balances for standard and substructural interactions.
Contribution
It introduces a geometric framework for representing interactions in complex bodies, highlighting the influence of diffuse interfaces and establishing covariance properties.
Findings
Proves covariance of surface balances for interactions
Analyzes the influence of diffuse interfaces on discontinuity surfaces
Develops geometric structures for complex body interactions
Abstract
We analyze geometrical structures necessary to represent bulk and surface interactions of standard and substructural nature in complex bodies. Our attention is mainly focused on the influence of diffuse interfaces on sharp discontinuity surfaces. In analyzing this phenomenon, we prove the covariance of surface balances of standard and substructural interactions.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Advanced Mathematical Theories and Applications · Theoretical and Computational Physics