Francesco PAOLI SIMPLIFIED AFFINE PHASE STRUCTURES

Axial and Torsional Free Vibrations of Elastic Nano-Beams by Stress-Driven Two-Phase Elasticity

Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...

Reply to Francesco Paoli’s Comments on Fuzzy Logic and Higher-Order Vagueness

I am extremely grateful to Francesco Paoli for his very interesting and valuable comments on my paper. In what follows, I shall try to respond to his objections. As will be evident from the fact that it frequently directs the reader to [2] for longer discussions of issues and more detailed presentations of arguments, my paper is not fully selfcontained: at a number of places, it stands in need ...

The Logic of Quasi-MV Algebras

The algebraic theory of quasi-MV algebras, generalizations of MV algebras arising in quantum computation, is by now rather well-developed. Although it is possible to define several interesting logics from these structures, so far this aspect has not been investigated. The present article aims at filling this gap.

Realization of locally extended affine Lie algebras of type $A_1$

Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...

Influence of anisotropic permeability on convection in porous media: Implications for geological CO2 sequestration