Radó has noted that (II) implies (r) and that the sphere and 2-cell each have (II). In this paper it will be shown that (1) for locally connected continua in general, property (II) is equivalent to unicoherence, (2) for plane locally connected continua, property (ir) is equivalent to unicoherence, and (3) every closed 2-dimensional connected manifold has property (x). To clarify our meaning, we...

Buckling of single-walled and multiwalled carbon nanotubes SWNTs and MWNTs, respectively due to axial compressive loads has been studied by molecular mechanics simulations, and results compared with those from the analysis of equivalent continuum structures using Euler buckling theory and the finite element method. It is found that a MWNT of large aspect ratio length/diameter buckles as a colum...

The continuum mechanic simulation of micro-structural damage process is important in the study of ductile fracture mechanics. In this paper, the continuum damage mechanics model formulation proposed by Lematire has been validated against ductile damage evolution experimentally measured in A533B-C1 steel under stress triaxiality conditions. First, a &#10procedure to identify the model parameters...

The continuum mechanic simulation of micro-structural damage process is important in the study of ductile fracture mechanics. In this paper, the continuum damage mechanics model formulation proposed by Lematire has been validated against ductile damage evolution experimentally measured in A533B-C1 steel under stress triaxiality conditions. First, a procedure to identify the model parameters f...

In this paper we consider formulas written in one variable in the normal logic T2 = KTB ⊕ 2p → 2p. We present some special model for T2 to construct infinitely many non-equivalent formulas written in one variable and some family of models to construct continuum of logics over T2 ∗ .

Twisted Eguchi-Kawai reduced chiral models are shown to be formally equivalent to a U(1) noncommutative parent theory. To make contact with the continuum noncommutative theory, a double scaling large N limit for the reduced model is required. We show a possible limiting procedure, which we propose to investigate numerically. We also include some preliminary numerical results.

We show there is no categorical metric continuum. This means that for every metric continuum X there is another metric continuum Y such that X and Y have (countable) elementarily equivalent bases but X and Y are not homeomorphic. As an application we show that the chainability of the pseudoarc is not a first-order property of its lattice of closed sets.