Stress-Deformed Condition at Different Angle of Scratch Inclination on Flat Cover of Hatch-Blade

Defects of mechanical origin are quite often found on the structural elements of the devices of the production facilities of the fuel and energy complex. One of the most common mechanical defects is scratches and hairlines on the outer surface of the structural elements. The current regulatory and technical documentation establishes standards for the rejection of defects of various types, which provide for the decommissioning of objects with unacceptable defects for repair or subsequent dismantling. However, in most cases, mechanical defects such as scratches are within acceptable sizes and do not have a decisive effect on the life, reliability and safe operation of vessels and apparatus. However, the presence of such defects can change the stress-strain state of the object to a more unfavorable side, and therefore accelerate the process of accumulating damage at points of concentration of increased stresses. Subsequently, places with a concentration of increased voltages under certain operating conditions can be sources of premature destruction of the element and failure of the object as a whole. Therefore, the actual work is the simulation of the stress-strain state of the flat manhole cover with a scratch, having a different arrangement. In this work, the stress-strain state of the flat manhole cover is examined depending on the location of the scratch on it at a different angle relative to the vertical axis of symmetry of the cover.

Quasi-Affineness and the 1-Resolution Property

We prove that, under mild hypothesis, every normal algebraic space that satisfies the $1$-resolution property is quasi-affine. More generally, we show that for algebraic stacks satisfying similar hypotheses, the 1-resolution property guarantees the existence of a finite flat cover by a quasi-affine scheme.

Failure Analysis on a Collapsed Flat Cover of an Adjustable Ballast Tank Used in Deep-Sea Submersibles

A flat cover of an adjustable ballast tank made of high-strength maraging steel used in deep-sea submersibles collapsed during the loading process of external pressure in the high-pressure chamber. The pressure was high, which was the trigger of the collapse, but still considerably below the design limit of the adjustable ballast tank. The failure may have been caused by material properties that may be defective, the possible stress concentration resulting from design/processing, or inappropriate installation method. The present paper focuses on the visual inspections of the material inhomogeneity, ultimate cause of the collapse of the flat cover in pressure testing, and finite element analysis. Special attention is paid to the toughness characteristics of the material. The present study demonstrates the importance of material selection for engineering components based on the comprehensive properties of the materials.

Relative FP-gr-injective and gr-flat modules

Let [Formula: see text] be an integer. We introduce the notions of [Formula: see text]-FP-gr-injective and [Formula: see text]-gr-flat modules. Then we investigate the properties of these modules by using the properties of special finitely presented graded modules and obtain some equivalent characterizations of [Formula: see text]-gr-coherent rings in terms of [Formula: see text]-FP-gr-injective and [Formula: see text]-gr-flat modules. Moreover, we prove that the pairs (gr-[Formula: see text], gr-[Formula: see text]) and (gr-[Formula: see text], gr-[Formula: see text]) are duality pairs over left [Formula: see text]-coherent rings, where gr-[Formula: see text] and gr-[Formula: see text] denote the subcategories of [Formula: see text]-FP-gr-injective left [Formula: see text]-modules and [Formula: see text]-gr-flat right [Formula: see text]-modules respectively. As applications, we obtain that any graded left (respectively, right) [Formula: see text]-module admits an [Formula: see text]-FP-gr-injective (respectively, [Formula: see text]-gr-flat) cover and preenvelope.

Weak precovering of acts over semigroups

Let S be a monoid and [Formula: see text] a class of [Formula: see text]-acts which is closed under coproducts. The object of this paper is to find conditions under which all [Formula: see text]-acts have [Formula: see text]-precovering, especially when [Formula: see text] is the class of injective (C-injective) acts. We have shown that the existence of injective precovering over Noetherian monoids implies the existence of injective covering. This work is an attempt to further facilitate the study of the conjecture that all [Formula: see text]-acts have flat cover.

Covers of Acts Over Monoids and Pure Epimorphisms

In 2001, Enochs's celebrated flat cover conjecture was finally proven, and the proofs (two different proofs were presented in the same paper) have since generated a great deal of interest among researchers. The results have been recast in a number of other categories and, in particular, for additive categories. In 2008, Mahmoudi and Renshaw considered a similar problem for acts over monoids but used a slightly different definition of cover. They proved that, in general, their definition was not equivalent to that of Enochs, except in the projective case, and left open a number of questions regarding the ‘other’ definition. This ‘other’ definition is the subject of the present paper and we attempt to emulate some of Enochs's work for the category of acts over monoids, and concentrate, in the main, on strongly flat acts. We hope to extend this work to other classes of acts, such as injective, torsion free, divisible and free, in a future report.