Integrating local energetics into Maxwell-Calladine constraint counting to design mechanical metamaterials.

ABSTRACT: The Maxwell-Calladine index theorem plays a central role in our current understanding of the mechanical rigidity of discrete materials. By considering the geometric constraints each material component imposes on a set of underlying degrees of freedom, the theorem relates the emergence of rigidity to constraint counting arguments. However, the Maxwell-Calladine paradigm is significantly limited-its exclusive reliance on the geometric relationships between constraints and degrees of freedom completely neglects the actual energetic costs of deforming individual components. To address this limitation, we derive a generalization of the Maxwell-Calladine index theorem based on susceptibilities that naturally incorporate local energetic properties such as stiffness and prestress. Using this exten

SUBMITTER: Rocks JW 

PROVIDER: S-EPMC11773508 | biostudies-literature | 2024 Aug

REPOSITORIES: biostudies-literature