Morse families and constrained mechanical systems. Generalized hyperelastic materials (original) (raw)

This paper explores the integration of constrained mechanical systems through Morse families and generalized hyperelastic materials. By applying symplectic techniques, it presents a desingularization of Lagrangian functions under ideal constraints, facilitating a better understanding of holonomic constraints in a continuum mechanic framework. The study also introduces generalized hyperelastic materials as Lagrangian submanifolds within the (F, S)-space, which underscores the interplay between mechanical behavior and theoretical constructs.