Rotations of grain crystal lattice are responsible for texture formation during plastic deformation. The classical definition of lattice rotation leads in some cases to different texture predictions than the definition based on the orientation preservation of selected sample directions and/or planes. For example, if classical <110>{111} slip is taken into account for f.c.c. materials, the former approach enables to predict both copper and brass types of rolling texture, while classical approach predicts only the first one. The analysis of rolling process was done for two types of lattice rotation and in function of grain-matrix interaction parameter used in a deformation model. Correlation factors estimating the similarity of predicted and experimental textures as well as the shares of ideal orientations are discussed.Keywords: lattice rotation, elasto-plastic deformation models, copper-brass texture transition, rolling deformation Obroty sieci krystalograficznej ziaren są odpowiedzialne za powstania tekstury podczas odkształcenia plastycznego. Klasyczna definicja obrotu sieci prowadzi w pewnych przypadkach do innych przewidywań tekstury niż definicja oparta na warunku zachowania wybranych kierunków lub płaszczyzn próbki. Na przykład biorąc pod uwagę systemy poślizgu <110>{111}, użycie tej drugiej pozwala przewidzieć zarówno teksturę typu miedzi jak i mosiądzu, podczas gdy definicja klasyczna umożliwia przewidywanie jedynie tekstury typu miedzi. Dokonano analizy odkształcenia przez walcowanie dla obu definicji obrotu uwzględniając równocześnie wpływ parametru oddziaływania ziarna z otaczającym materiałem. W celu porównania przewidzianych i zmierzonych tekstur wyliczono i przedyskutowano współczynniki korelacji oraz udziały orientacji idealnych.
The results of three-dimensional simulation of asymmetric rolling, using Finite Elements Method, are presented. The example case of low carbon steel is considered. The rolling asymmetry, considered in the present work, results from different angular velocities of two identical working rolls. The effects of asymmetry on stress and strain distributions, material bending and variations of normal force and torque exerted by rolls are calculated and discussed. A special emphasis is done on the influence of inclined entry of a rolled material, which can appear in sequential rolling. Such the entry can partly compensate the material bending during. The results of the present simulations show that optimum parameters can be found in order to minimize the effect of sheet curvature and to reduce the applied torque and normal rolling force.The predicted internal stress distributions were applied next in the crystallographic deformation model; the predicted textures of symmetric and asymmetric rolling are in good agreement with experimental results.Keywords: asymmetric rolling, inclined entry, deformation model, Finite Element Method, texture, residual stress, internal stress W pracy przedstawiono wyniki trójwymiarowej symulacji walcowania asymetrycznego, używając Metody Elementów Skończonych. Rozważono walcowanie stali niskowęglowej. Asymetria walcowania, rozważana w niniejszej pracy, wynika z różnych prędkości kątowych dwóch identycznych walców. Przedyskutowano wpływ asymetrii walcowania na rozkłady naprężeń i odkształceń, wygięcie materiału oraz modyfikację siły i momentu obrotowego wywieranego przez walce. Szczególną uwagę zwrócono na możliwość ukośnego wprowadzania materiału, które może występować w walcowaniu sekwencyjnym. Takie wprowadzanie materiału może częściowo zrekompensować jego wygięcie. Wyniki niniejszych obliczeń wskazują, że można znaleźć optymalne parametry w celu redukcji do minimum wygięcia blach i zmniejszenia siły i momentu sił wywieranych przez walce.Wyliczone rozkłady naprężeń wewnętrznych zastosowano następnie w krystalograficznym modelu deformacji; przewidywane tekstury walcowania symetrycznego i asymetrycznego pozostają w dobrej zgodności z danymi doświadczalnymi.
Purpose This paper aims to investigate the quality and reliability of solder joints prepared from Pb-free alloys on direct bounded Cu (DBC) substrates. Two types of solder alloys were studied: Sn90.95Ag3.8Cu0.7Sb1.4Ni0.15Bi3.0, with a high melting point of 225°C, and Sn42Bi58, with low a melting point of 138°C. Design/methodology/approach Capacitor components of size 1806 were soldered on DBC substrates by using convection reflow soldering and vacuum vapor-phase soldering technologies. A part of the samples was subjected to the thermal shock test. The structure of the solder joints and the content of the voids were investigated using three-dimensional X-ray tomography. The mechanical strength of the joints was evaluated using the shear force test, and the microstructure of the joints was studied on metallographic cross sections by using scanning electron microscopy. Findings It was found that the number of voids is not related directly to the mechanical strength of the solder joints. The mechanical strength of the solder joints depends more on the amount of Ag3Sn precipitation, Au precipitation and the intermetallic layer in the solder joints. In some cases, the thermal shock test caused micro-cracks around the Au precipitation because of a mismatch of Au, AuSn4 and Sn in terms of coefficients of thermal expansion. Originality/value DBC substrates are usually used for power electronics, where the quality of the solder joints is even more important than in the case of commercial electronics.
The usage of finite element method techniques gives a possibility to replace time-consuming experiments or imitate physical process in the ear by numerical simulation. Especially, the research of spatial motion of ossicular chain in the middle ear is of high interest for the oto-surgeons and engineers. It is known that the most affected bone from the ossicular chain is the incus. After the cholesteatoma operation and tympanoplasty, the affected incus is removed or sacrificed; thus, the possibility of transducing noise lays on the stapes, new titanium or other material prosthesis. In this case, the affected incus was removed because of the cholesteatoma that was lying in front of it in the tympanic cavity. The removed incus with the affected long process passed micro–computed tomography. The computer-aided design systems allowed redesigning a ‘healthy’ incus with an intact long process. In this way, it was possible to evaluate the influence of damaged long process of incus in the vibrational analysis. This article analyses the problems of mechanical behaviour of injured and healthy human incus. The numerical simulation has demonstrated that the features of healthy incus and analysed injured incus do not differ significantly, especially at low (about 500 Hz) frequencies. It explains why there is no impact of cholesteatoma on hearing for a long time in the audiogram.
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