This study investigates the thickness variation behavior of deep drawing conical products under effect different forming parameters such as die wall inclination angle, punch velocity, sheet thickness, and metal type. Two types were used, low carbon (AISI 1008) galvanized steel sheets, 110 mm diameters circular blanks at 0.9 1.2mm formed by tooling set (punch, die, blank holder). The dies angles...

This paper gives a qualitative description how Young tableaux can be used to perform a Clebsch-Gordan decomposition of tensor products in SU(3) and how this can be generalized to SU(N).

This essay describes the development of groups used for the specification of symmetries from ordinary and magnetic point groups to Fedorov and magnetic space groups, as well as other varieties of groups useful in the study of symmetric objects. In particular, we consider the problem of some incorrectness in Vol. A of the International Tables for Crystallography. Some results of tensor calculus ...

Fallon, A. L., B. Lankford, and D. Weston. 2021. Navigating wicked water governance in the "solutionscape" of science, policy, practice, participation. Ecology Society 26(2):37. https://doi.org/10.5751/ES-12504-260237

We define a set of orthogonal functions on the complex projective space CPN−1, and compute their Clebsch-Gordan coefficients as well as a large class of 6–j symbols. We also provide all the needed formulae for the generation of high-temperature expansions for U(N)-invariant spin models defined on CPN−1.

Metal sheet anisotropy is the directional dependence of mechanical properties. It key factor that must be considered when using numerical simulation to predict any manufacturing process involves plastic deformation. The strain ratio, also known as Lankford coefficients or R values, together with forming limit curves (FLC), are industry standards for assessing formability metals. Complete experi...

Hardmetals are widely used as cutting, machining, and drilling tools for rocks due to their excellent properties of hardness, fracture toughness, wear resistance over a wide temperature range. This study proposed evaluate the toughness WC–10% Co carbide, sintered via spark plasma sintering—SPS, through Vickers indentation measures, using modification Palmqvist test, which is assess cemented car...

We generalize a construction of Dunkl, obtaining a wide class intertwining functions on the symmetric group and a related family of multidimensional Hahn polynomials. Following a suggestion of Vilenkin and Klymik, we develop a tree-method approach for those intertwining functions. We also give a group theoretic proof of the relation between Hahn polynomials and Clebesh-Gordan coefficients, give...

The anisotropic cryogenic ductile and cleavage fracture properties of a body-centered cubic (bcc) steel at −196°C have been investigated under broad spectrum loading conditions, crossing stress triaxiality range from −1/3 to 1.5, along three directions. Fracture is completely impeded in uniaxial compression tests. Conventional brittle behavior only observed high conditions for the bcc steel, on...

A 'differential measure' is used to cast our calculus for the group SU (3) into a form similar to Schwinger's boson operator calculus for the group SU (2). It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.