A unified non-empirical strength model

A Unified Software Framework for Empirical Gramians

A common approach in model reduction is balanced truncation, which is based on Gramian matrices classifying certain attributes of states or parameters of a given dynamic system. Initially restricted to linear systems, the empirical Gramians not only extended this concept to nonlinear systems but also provided a uniform computational method. This work introduces a unified software framework supp...

A Unified Model

A Unified Model for the Prediction of Yield Strength in Particulate-Reinforced Metal Matrix Nanocomposites

Lightweighting in the transportation industry is today recognized as one of the most important strategies to improve fuel efficiency and reduce anthropogenic climate-changing, environment-damaging, and human death-causing emissions. However, the structural applications of lightweight alloys are often limited by some inherent deficiencies such as low stiffness, high wear rate and inferior streng...

1 Conservative Growth : a Unified Approch to Logical Strength

In conservative growth, structures are enlarged in such a way that properties are maintained. We investigate a natural interpretation of this idea in terms of one structure M being elementarily extended to M’, where M’ “organizes” M definability. We show that this idea of conservative growth naturally develops into constructions and hypotheses corresponding to levels of set theory ranging from ...

Non-String Pursuit towards Unified Model on the Lattice

Non-standard overview on the possible formulation towards a unified model on the lattice is presented. It is based on the generalized gauge theory which is formulated by differential forms and thus expected to fit in a simplicial manifold. We first review suggestive known results towards this direction. As a small step of concrete realization of the program, we propose a lattice Chern-Simons gr...