I describe how relativistic field theory generalises the defining property of material systems to possess mass to the requirement of them having a mass-energy-momentum density tensor Tμν (energy tensor for short) associated with them. I argue that according to general relativity Tμν is not an intrinsic property of matter, looking at how the energy tensor for a relativistic material system can b...

When the complexity of a metallic compound reaches a certain level, a specific location in the structure may be critically responsible for a given fundamental property of a material while other locations may not play as much of a role in determining such a property. The first-principles theory has pinpointed a critical location in the framework of a complex intermetallic compound--Gd(5)Ge(4)--t...

to complete “the use theory of meaning”, paul horwich put forward a new thesis upon which some usages of a word have explanatory role and justify the overall use-regularities of that word. these specific usages have a basic acceptance property which makes them believable in user’s belief system and, like a semantic axiom, make other usages justified. but, there are still some usages that cannot...

The self-concordant-like property of a smooth convex function is a new analytical structure that generalizes the self-concordant notion. While a wide variety of important applications feature the selfconcordant-like property, this concept has heretofore remained unexploited in convex optimization. To this end, we develop a variable metric framework of minimizing the sum of a “simple” convex fun...

This paper deals with the nonlinear free vibration of thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and...

In this paper we present a Markov model for GP and variable-length GAs with homologous crossover: a set of operators where the offspring are created preserving the position of the genetic material taken from the parents. We obtain this result by using the core of Vose’s model for GAs in conjunction with a specialisation of recent schema theory for such operators. The model is then specialised f...

In this article, the magneto-thermo-elastic problem of exponentially graded material (EGM) hollow rotating disk placed in uniform magnetic and temperature fields is considered. Exact solutions for stresses and perturbations of the magnetic field vector in EGM hollow rotating disk are determined using the infinitesimal theory of magneto-thermo-elasticity under plane stress. The material properti...

Cut Admissibility is an important property for a calculus to have, and as such we wish to be able to automate the proof so that it can be fully formalised. The focus of this research is not to automate a given proof of Cut Admissibility, but rather to provide proof templates, which can then be adapted for other systems. However, before we can further expand on these aims, some background materi...

In many forming processes the evolution of the material properties evolves with time and changes as temperature varies, forcing the use of a time-dependent thermomechanical computational model to simulate those processes. If the property under study could be described as a collectivity of microentities jumping over a certain distribution of energy barriers from one metastable state to another, ...

A theory of volumetric growth on differentiable manifolds is presented. A balance law for an extensive property, that includes a source term, induces material structure and bodies. Transformation rules for the basic variables that represent growth, under a change of frame in the physical event space, are examined and the material frame, where the volumetric growth has a simple canonical form, i...