Remarks on pure and simple shear

Investigation on the Deformation Behavior and Strain Distribution of Commercially Pure Aluminum after Circular Simple Shear Extrusion

Circular simple shear extrusion process was introduced as a new geometry for simple shear extrusion technique to fabricate ultrafine-grained materials. Similar to the simple shear extrusion method, this process is also based on direct extrusion, and the samples deform in a simple shear manner. In this investigation, the simulations were carried out using the commercial finite element code ABAQU...

From inherent structures to pure states: Some simple remarks and examples

– The notions of pure states and inherent structures, i.e. stable configurations against 1-spin flip are discussed. We explain why these different concepts accidentally coincide in mean-field models with infinite connectivity and present an exactly solvable one-dimensional model where they do not. At zero temperature pure states are to some extent related to kspin flip stable configurations wit...

Induction, Pure and Simple

Induction is the process by which we reason from the particular to the general; In this paper we use ideas from the theory of abstract machines and recursion theory to study this process. We focus on pure induction in which the conclusions "go beyond the information given" in the premises from which they are derived and on simple induction, which is rather a stark kind of induction that deals w...

Remarks on isomorphisms of simple inductive types

Remarks on Pure Spin Connection Formulations of Gravity

In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second from a hamiltonian formulation. In this note we show that they lead to identical results. PACS: 04.20.Cv, 04.20.Fy, 02.40.+m As shown by Ashtekar, there is a hamiltonian formulation of general relativity which uses the (...