Abstract Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order time-dependent contact systems: cocontact manifolds. Within setting develop the Hamiltonian Lagrangian formalisms, both regular singular cases. case, present constraint algorithm aiming find submanifold where solutions exist. As particular cas...

We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe dynamical systems with dissipation. The essential tools for the are extended tangent bundles, TkQ×R, whose geometric structures previously introduced in order state Lagrangian and Hamiltonian formalisms these kinds systems, including their variational formulation. principle, forms, equations o...

introduction: nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. a majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. the constitutive characterization of soft tissues is among very important subjects in clinical medicine and espe...

one of the most important factors that affect tire friction is surface roughness, which determines the size of the real contact area, real pressure distribution on the contact interface, and scales of mechanical engagement between viscoelastic rubber and a rough substrate. the need to predict coefficient of friction (cof) for rubber on rough surfaces for applications such as traction of tires o...