This paper presents a comparison between a number of different failure prediction methods forsuperplastic forming processes. Attention is limited here to superplastic forming of Ti-6Al-4V at 927C. Thefailure prediction methods considered include the flow localisation factor approach, forming limit curvesbased on void growth models, such as the Rice and Tracey model and the Cocks and...

Various effective field theories in four dimensions are shown to have exact non-trivial solutions in the limit as the number N of fields of some type becomes large. These include extended versions of the U(N) Gross–Neveu model, the non-linear O(N) σ-model, and the CP model. Although these models are not renormalizable in the usual sense, the infinite number of coupling types allows a complete c...

We obtain the central limit theorem for fluctuations of Young diagrams around their limit shape in the bulk of the ‘spectrum’ of partitions lwn2N (under the Plancherel measure), thus settling a long-standing problem posed by Logan & Shepp. Namely, under normalization growing like ffiffiffiffiffiffiffiffiffiffi log n p , the corresponding random process in the bulk is shown to converge, in the s...

We study the fatgraph expansion for the Complex Matrix QuantumMechanics (CMQM) with a Chern-Simons coupling. In the doublescaling limit this model is believed to describe Type 0A superstrings in 1+1 dimensions in a Ramond-Ramond electric field. With Euclidean time compactified, we show that the RR electric field acts as a chemical potential for vortices living on the Feynman diagrams of the CMQ...

We study the gravitational self-force using the effective field theory formalism. We show that in the ultra-relativistic limit γ → ∞, with γ the boost factor, many simplifications arise. Drawing parallels with the large N limit in quantum field theory, we introduce the parameter 1/N ≡ 1/γ and show that the effective action admits a well defined expansion in powers of λ ≡ N at each order in 1/N ...

The most powerful feature of categories of posets with directed sups is the ability to solve domain equations such as D ∼= D. A crucial ingredient of this technique is the fact that for certain kinds of diagrams (in particular sequences of “projection pairs”) the limit and colimit are isomorphic. This much is known to everyone in the subject: what appears not to be generally known is (i) that w...

background: human error is the most important cause of occupational and non-occupational accidents. because, it seems necessary to identify, predict and analyze human errors, and also offer appropriate control strategies to reduce errors which cause adverse consequences, the present study was carried out with the aim of identifying human errors while operating meat grinder and offer suggestions...

The forming limit diagrams (FLDs) characterizing the formability of sheet metals are usually obtained by applying proportional loadings. Nevertheless, industrial processes involve strain path changes that can modify limit-strain values. In addition, for strongly anisotropic such as Zn-Cu-Ti zinc alloy, large differences in curves (FLCs) with respect to rolling direction observed. present work, ...

By analysis of experimental data, a quantitative theoretical interpretation of the solubility limit of medium- and long-chain fatty alcohols in micellar solutions of water-soluble surfactants is presented. A general picture of the phase behavior of the investigated systems is given in the form of phase diagrams. The limited solubility of the fatty alcohols in the micelles of conventional surfac...

Bliem and Kousidis recently considered a family of random variables whose distributions are given by the generalized Galois numbers (after normalization). We give probabilistic interpretations of these random variables, using inversions in random words, random lattice paths and random Ferrers diagrams, and use these to give new proofs of limit theorems as well as some further limit results.