Mechanical Blocking Mechanism for the Columnar to Equiaxed Transition

Mechanical blocking of the columnar front during the columnar to equiaxed transition (CET) is studied by quantitatively comparing the CET positions obtained with one stochastic model and two deterministic models for the unidirectional solidification of an Al-7 (wt pct) Si alloy. One of the deterministic models is based on the solutal blocking of the columnar front, whereas the other model is based on the mechanical blocking. The solutal-blocking model and the mechanical-blocking model with the traditional blocking fraction of 0.49 give columnar zones larger than those predicted with the stochastic model. When a blocking fraction of 0.2 is adopted, however, the agreement is very good for a range of nucleation undercoolings and number density of equiaxed grains. Therefore, changing the mechanical-blocking fraction in deterministic models from 0.49 to 0.2 seems to model more accurately the mechanical-blocking process that can lead to the CET.

Predicting the columnar-to-equiaxed transition for a distribution of nucleation undercoolings

A deterministic mathematical model for steady-state unidirectional solidification is proposed to predict the columnar-to-equiaxed transition. In the model, which is an extension to the classic model proposed by Hunt [Hunt JD. Mater Sci Eng 1984;65:75], equiaxed grains nucleate according to either a normal or a log-normal distribution of nucleation undercoolings. Growth maps are constructed, indicating either columnar or equiaxed solidification as a function of the velocity of isotherms and temperature gradient. The fields A columnar and equiaxed growth change significantly with the spread of the nucleation undercooling distribution. Increasing the spread Favors columnar solidification if the dimensionless velocity of the isotherms is larger than 1. For a velocity less than 1, however, equiaxed solidification is initially favored, but columnar solidification is enhanced for a larger increase in the spread. This behavior was confirmed by a stochastic model, which showed that an increase in the distribution spread Could change the grain structure from completely columnar to 50% columnar grains. (c) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

Modeling of columnar-to-equiaxed transition in solidified Al-Si alloys

A Cellular-Automaton Finite-Volume-Method (CAFVM) algorithm has been developed, coupling with macroscopic model for heat transfer calculation and microscopic models for nucleation and growth. The solution equations have been solved to determine the time-dependent constitutional undercooling and interface retardation during solidification. The constitutional undercooling is then coupled into the CAFVM algorithm to investigate both the effects of thermal and constitutional undercooling on columnar growth and crystal selection in the columnar zone, and formation of equiaxed crystals in the bulk liquid. The model cannot only simulate microstructures of alloys but also investigates nucleation mechanisms and growth kinetics of alloys solidified with various solute concentrations and solidification morphologies.

Columnar to equiaxed transition of eutectic in hypoeutectic aluminium-silicon alloys

Directional solidification of unmodified and strontium modified binary, high-purity aluminium-7 wt% silicon and commercial A356 alloys has been carried out to investigate the mechanism of eutectic solidification. The microstructure of the eutectic growth inter-face was investigated with optical microscopy and Electron Backscattering Diffraction (EBSD). In the commercial alloys, the eutectic solidification inter-face extends in the growth direction and creates a eutectic mushy zone. A planar eutectic growth front is observed in the high-purity alloys. The eutectic aluminium has mainly the same crystallographic orientation as the dendrites in the unmodified alloys and the strontium modified high-purity alloy. A more complex eutectic grain structure is found in the strontium modified commercial alloy. A mechanism involving constitutional undercooling and a columnar to equiaxed transition explains the differences between pure and commercial alloys. It is probably caused by the segregation of iron and magnesium and the activation of nucleants in the commercial alloy. (C) 2002 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.

The columnar to equiaxed transition of horizontal unsteady-state directionally solidified Al-Si alloys

Experiments were conducted to investigate the influence of thermal parameters on the columnar to equiaxed transition during the horizontal unsteady-state directional solidification of Al-Si alloys. The parameters analyzed include the heat transfer coefficients, growth rates, cooling rates, temperature gradients and composition. A combined theoretical and experimental approach is developed to determine the solidification thermal variables considered. The increasing solute content in Al-Si alloys was not found to affect significantly the experimental position of the CET which occurred for cooling rates in the range between 0.35 and 0.64 K/s for any of three alloy compositions examined. A comparative analysis between the results of this work and those from the literature proposed to analyze the CET during upward vertical solidification of Al-Si alloys is reported and the results have shown that the end of the columnar region during horizontal directional solidification is abbreviated as a result of about six times higher thermal gradient than that verified during upward unidirectional solidification of alloys investigated.

Determination of the columnar to equiaxed transition in hypoeutectic lamellar cast iron

Shrinkage porosity as a volume change related casting defect in lamellar cast iron was reported in theliterature to form during solidification in connection to the dendrite coherency. The present work includesan experimental study on dendrite coherency – also called columnar-to-equiaxed transition in lamellar castiron using thermal analysis and expansion force measurements. Investigation was carried out in order tostudy the mechanism of dendrite coherency formation. Cylindrical test bars were cast from the same alloywith different pouring temperature, amount of inoculant and time between the addition of inoculant andstart of pouring the samples. Cooling rate and expansion force was recorded as a function of time. Anumerical algorithm based on temperature differences measured under solidification was used to inter-pret the solidification process. Three different methods have been compared to determine the columnarto equiaxed transition. The compared methods were based on registered temperature differences, basedon registered expansion forces during the volume change of the solidifying samples and based on the cal-culated released latent heat of crystallization. The obtained results indicate a considerable influence on theformation and progress of coherency due to variation of casting parameters. It has been shown that thecoherency is not a single event at a defined time moment rather a process progressing during a timeinterval.

Deterministic mathematical model for the prediction of the as-cast macrostructure

A multiphase deterministic mathematical model was implemented to predict the formation of the grain macrostructure during unidirectional solidification. The model consists of macroscopic equations of energy, mass, and species conservation coupled with dendritic growth models. A grain nucleation model based on a Gaussian distribution of nucleation undercoolings was also adopted. At some solidification conditions, the cooling curves calculated with the model showed oscillations (""wiggles""), which prevented the correct prediction of the average grain size along the structure. Numerous simulations were carried out at nucleation conditions where the oscillations are absent, enabling an assessment of the effect of the heat transfer coefficient on the average grain size and columnar-to-equiaxed transition.

Influência da convecção termossolutal na transição colunar/equiaxial em ligas Al-Si sob condições unidirecionais e transitórias de extração de calor

A relação entre macroestrutura e propriedades mecânicas de um material tem sido objeto de intensa investigação pois o tamanho dos grãos, a orientação cristalina e a distribuição dos mesmos exercem influência direta no comportamento mecânico dos produtos acabados. Assim, o entendimento dos fatores que influenciam a formação das zonas estruturais coquilhada, colunar e equiaxial nos materiais fundidos como, por exemplo, o sistema de liga, composição da liga, temperatura de vazamento, temperatura do molde, material do molde, coeficientes de transferência de calor na interface metal/molde, taxa de resfriamento, gradientes térmicos, dimensão da peça, presença de convecção no líquido, transporte de soluto, etc é de fundamental importância para a melhoria da eficiência do processo de fundição envolvido. Com base no conhecimento dos princípios termofísicos em que essas zonas são formadas, é possível manipular de forma bastante razoável a estrutura dos produtos fundidos e, conseqüentemente, as propriedades mecânicas dos mesmos. Tendo como principal foco a análise da mudança da zona colunar para a equiaxial, este trabalho apresenta um estudo teórico-experimental sobre a transição colunar/equiaxial (TCE) das ligas hipoeutéticas Al- 3%Si, Al-7%Si Al-9%Si solidificadas unidirecionalmente em um dispositivo horizontal refrigerado a água sob condições transientes de fluxo de calor. A condição de contato térmico na superfície de extração de calor foi padronizada como sendo polida. Os perfis térmicos foram medidos em diferentes posições do lingote e os dados foram armazenados automaticamente. Um método numérico é utilizado na determinação de variáveis térmicas de solidificação como coeficientes de transferência de calor na interface metal/molde (h_i), velocidades das isotermas liquidus (V_L), gradientes térmicos (G_L) e taxas de resfriamento (T_R) que influenciam diretamente a referida transição estrutural. Os resultados teóricos e experimentais apresentaram boa concordância. Um estudo comparativo entre os resultados obtidos neste trabalho e valores propostos na literatura para analisar a TCE durante a solidificação unidirecional vertical ascendente sob condições transientes de extração de calor das ligas investigadas, também é apresentado.

Influência dos parâmetros térmicos de solidificação na transição colunar/equiaxial em ligas do sistema Sn-Pb sob condições transitórias de extração de calor

O principal objetivo deste trabalho é desenvolver um estudo teórico/experimental sobre a influência dos parâmetros térmicos de solidificação (V _L e T) na transição colunar/equiaxial das ligas Sn 5%Pb, Sn 15%Pb, Sn 20%Pb e Sn 25%Pb sob condições de solidificação unidirecional horizontal refrigerada à água. Inicialmente, são calculadas experimentalmente as velocidades da isoterma líquidus e as taxas de resfriamento das ligas em questão cujos resultados são comparados com as previsões teóricas de um modelo numérico. Em seguida, a posição da transição colunar/equiaxial é determinada por meio da análise macroestrutural assim como são avaliados os efeitos impostos por correntes convectivas devido ao efeito do soluto no comportamento da transição colunar/equiaxial das referidas ligas. Finalmente, é realizado um estudo experimental comparativo para as ligas estudadas quando solidificadas unidirecionalmente em diferentes sistemas refrigerados à água.

Characterization of the Al-3wt.%Si alloy in unsteady-state horizontal directional solidification

The main purpose of this paper is to investigate both the columnar to equiaxed transition and primary dendritic arm spacings of Al-3wt.%Si alloy during the horizontal directional solidification. The transient heat transfer coefficient at the metal-mold interface is calculated based on comparisons between the experimental thermal profiles in castings and the simulations provided by a finite difference heat flow program. Simulated curve of the interfacial heat transfer coefficient was used in another numerical solidification model to determine theoretical values of tip growth rates, cooling rates and thermal gradients that are associated with both columnar to equiaxed transition and primary dendritic arm spacings. A good agreement was observed between the experimental values of these thermal variables and those numerically simulated for the alloy examined. A comparative analysis is carried out between the experimental data of this work and theoretical models from the literature that have been proposed to predict the primary dendritic spacings. In this context, this study may contribute to the understanding of how to manage solidification operational parameters aiming at designing the microstructure of Al-Si alloys.

Kinematic constraints to the transition redshift from supernovae type Ia union data

The kinematic approach to cosmological tests provides direct evidence to the present accelerating stage of the Universe that does not depend on the validity of general relativity, as well as on the matter-energy content of the Universe. In this context, we consider here a linear two-parameter expansion for the decelerating parameter, q(z)=q(0)+q(1)z, where q(0) and q(1) are arbitrary constants to be constrained by the union supernovae data. By assuming a flat Universe we find that the best fit to the pair of free parameters is (q(0),q(1))=(-0.73,1.5) whereas the transition redshift is z(t)=0.49(-0.07)(+0.14)(1 sigma) +0.54-0.12(2 sigma). This kinematic result is in agreement with some independent analyses and more easily accommodates many dynamical flat models (like Lambda CDM).

Extending Bell's beables to encompass dissipation, decoherence, and the quantum-to-classical transition through quantum trajectories

In this paper, employing the Ito stochastic Schrodinger equation, we extend Bell's beable interpretation of quantum mechanics to encompass dissipation, decoherence, and the quantum-to-classical transition through quantum trajectories. For a particular choice of the source of stochasticity, the one leading to a dissipative Lindblad-type correction to the Hamiltonian dynamics, we find that the diffusive terms in Nelsons stochastic trajectories are naturally incorporated into Bohm's causal dynamics, yielding a unified Bohm-Nelson theory. In particular, by analyzing the interference between quantum trajectories, we clearly identify the decoherence time, as estimated from the quantum formalism. We also observe the quantum-to-classical transition in the convergence of the infinite ensemble of quantum trajectories to their classical counterparts. Finally, we show that our extended beables circumvent the problems in Bohm's causal dynamics regarding stationary states in quantum mechanics.

Interlimb Coordination During Step-to-Step Transition and Gait Performance

Most energy spent in walking is due to step-to-step transitions. During this phase, the interlimb coordination assumes a crucial role to meet the demands of postural and movement control. The authors review studies that have been carried out regarding the interlimb coordination during gait, as well as the basic biomechanical and neurophysiological principles of interlimb coordination. The knowledge gathered from these studies is useful for understanding step-to-step transition during gait from a motor control perspective and for interpreting walking impairments and inefficiency related to pathologies, such as stroke. This review shows that unimpaired walking is characterized by a consistent and reciprocal interlimb influence that is supported by biomechanical models, and spinal and supraspinal mechanisms. This interlimb coordination is perturbed in subjects with stroke.

Good quality parenting programmes and the home to school transition

Evidence Review 1 - Good quality parenting programmes and the home to school transition Briefing 1a - Good Quality Parenting Programmes Briefing 1b - Improving the Home to School Transition This set of documents, commissioned by Public Health England (PHE£0, and written by the UCL Institute of Health Equity, address the effects of parenting and good transition on the health and wellbeing of children aged 0-5. They also provide case studies, and examples of good practice for local areas. Evaluations from the UK and other countries show a positive effect of parenting interventions on outcomes and behaviours that we know are linked to positive health and development outcomes for children. Home to school transition programmes can be effective in improving the outcomes for children from more disadvantaged socio-economic groups more than for children from more advantaged socio-economic groups, although longer term impact on health inequalities can only be inferred because the impact on health has not been studied. The full evidence review and two shorter summary briefings are available to download above. This document is part of a series. An overview document which provides an introduction to this and other documents in the series, and links to the other topic areas, is available on the ‘Local Action on health inequalities’ project page. A video of Michael Marmot introducing the work is also available on our videos page.