New variational principles in quasi-static viscoelasticity

Variational Principles in the Linear Dynamic Theory of Viscoelasticity

A variational approach to a quasi-static droplet model

We consider a quasi-static droplet motion based on contact angle dynamics on a planar surface. We derive a natural time–discretization and prove the existence of a weak global-in-time solution in the continuum limit. The time discrete interface motion is described in comparison with barrier functions, which are classical suband super-solutions in a local neighborhood. This barrier property is d...

New variational principles in classical and semiclassical mechanics

We demonstrate that reciprocal Maupertuis' Principle is the classical limit of Schrödinger's Variational Principle in Quantum Mechanics. Misha Marinov loved analytical mechanics and understood its beauty. Canonical transformations, Poisson structures, symplectic geometry etc. were the notions that he constantly used in his original papers, and in his famous review on path integral. One of the a...

New variational principles in classical and semiclassical mechanics

We demonstrate that reciprocal Maupertuis’ Principle is the classical limit of Schrödinger’s Variational Principle in Quantum Mechanics. Misha Marinov loved analytical mechanics and understood its beauty. Canonical transformations, Poisson structures, symplectic geometry etc. were the notions that he constantly used in his original papers, and in his famous review on path integral. One of the a...

Quasi-linear Viscoelasticity of Ankle Ligaments

Prior mechanical testing of ankle ligaments has focused on quantifying ligament ultimate strength (Attarian et al., 1985; Siegler et al., 1988). Few studies have attempted to model the constitutive behavior of ankle ligaments at sub-failure levels. Although the viscoelastic nature of ankle ligaments has been noted (Attarian et al., 1985), no studies have attempted to create a viscoelastic const...