Modelling of the micromechanical behaviour of unidirectional fibre-reinforced ceramics by the example of SiC/SiC

Summary The modelling of the mechanical properties of a substructure, based on the properties of the individual phases and their interactions, is presented on the example of the unidirectional SiC fibre-reinforced SiC composite. The substructure is selected in such a way that the total structure can be modelled from a wide number of substructures. The numerical evaluation of the model is accomplished by means of the finite element method (FEM). Finally, in numerical simulations of a particular example, the statistically verified events of damage in the substructure are described.     

剪切湍流大尺度相干结构的模式研究

发展了一种计算剪切湍流大尺度相干结构的新模式．该模式的基础是认为大尺度相干结构为湍流场中流体脉动能量增长最快的那部分，且包含大部分的湍流脉动能量．在此基础上。通过对湍流相干能量方程的推演。建立了描述大尺度相干结构的特征控制方程，并应用Ｃｈｅｂｙｓｈｅｖ多项式方法求得湍流相干能量的最大增长率在波数空间的分布，从而获得对应的大尺度相干结构．应用该模式研究了槽流和一自然对流中的大尺度相干结构，得到的近壁区流动结构与实验现象十分接近．     

2D dynamics of a stratified elastic subsoil layer

Summary The aim of this contribution is to propose a 2D model for an elastic stratified subsoil layer, which takes into account the effect of inhomogeneity on the dynamic behaviour of a medium. The obtained equations describe the subsoil response to the time-dependent foundation soil loadings, and can be applied to the analysis of dynamic subsoil-structure interactions. It is shown under which conditions the effect of microproperties of a medium on its dynamic response cannot be neglected.     

Static Tyre/Road Interaction Modelling

The understanding, modelling and predicting of tyre behaviouralcharacteristics, for both static and dynamic applications, requires theconsideration of many detailed aspects of this seemingly simple component.In order to investigate the problem more fully, computer analysis techniquesare becoming more common than the simplifications associated with analyticalmethods. The finite element method is one such technique that enablesengineers to examine tyre behaviour comprehensively and to predict tyreperformance at the design stage. In this paper, attention is drawn to theproblem of tyre/road interaction modelling. A purely theoretical approach ispresented which gives the analyst more flexibility in changing parameterssuch as inflation pressure, hub load, and material properties thanpreviously developed experimental/numerical techniques. A gap elementformulation is used to model the interaction so that contact patch area,shape and deflection are automatically accounted for under a given load andinflation pressure. Modelling and experimental results are also presented toillustrate the accuracy of the technique.     

Multiple-scale modelling of acoustic sources in low Mach-number flow

The main difficulty in the calculation of sound generated by fluid flow at low Mach numbers is the occurrence of different scales. The fluid flow is characterized by small spatial structures containing a large amount of energy that may propagate with a small convective velocity, such as small vortices in a turbulent flow. The radiated acoustic waves have small amplitudes and carry a small amount of energy, but have a long wavelength due to their fast propagation velocity. In this paper a perturbation method is used to calculate noise generation and propagation in combination with fluid flow based on the incompressible equations. The idea for the numerical modelling is to introduce a fine grid for the resolution of the fluid flow that is embedded into a larger acoustical domain with a coarse grid adapted to the long wavelength acoustics. To get an appropriate restriction of the acoustic source terms from the fine CFD-grid to the coarse CAA-grid, a multi-scale expansion with one time and two space scales is introduced. To cite this article: C.-D. Munz et al., C. R. Mecanique 333 (2005).     

Damage accumulation for growth of anti-plane crack in work-hardening material

Elastic–plastic solutions of an anti-plane crack in an infinite body are used in conjunction with a continuum damage model to describe the conditions necessary for the onset of crack instability, fatigue crack propagation due to cyclic loading, and rates of crack growth due to time dependent events. A power law relates the stress to the strain of the material. The damage, which invokes nucleation, growth and coalescence of microvoids due to elevated strain, is confined to the plastic zone surrounding the crack tip. For applied loading below the yield stress, the small-scale and large-scale yielding solutions are used to determine the influence of strain hardening on crack instability and failure. Crack growth due to cyclic loading and time-dependent deformations are studied using the small-scale yielding solution of the deformation theory of plasticity.     

Calculation of an axisymmetric turbulent wall jet over a surface of convex curvature

One of the many applications of curved wall jets of engineering importance is the Coanda Flare, which is used for burning waste gases in the petroleum industry and which gave rise to this work. The gas jet flows over an axisymmetric tulip shaped body, entraining ambient air and so promoting clean combustion. The object of this work was to calculate the development of the jet with the extra rates of strain imposed by both longitudinal curvature and divergence. A differential ‘partially-parabolic’ technique was used with uncoupling of the streamwise and cross-stream momentum equations, leading to an efficient computer program. The extra rates of strain were modelled by corrections to a mixing length model with the two effects being assumed to be additive. The calculation method was compared with seven test ccases of experimental data. The first five were from published literature, and included the plane wall jet and axisymmetric free jet, and the separate effects of longitudinal curvature and divergence. The lost two cases were measurements of the wall jet flow over a model Coanda Flare. The calculation method gave generally good results for the main features of the flow such as growth rate and velocity decay. Details of the flow were not so well predicted, particularly the turbulent shear stress, as a result of the relatively simple turbulence model employed. The calculation method should provide a useful engineering tool, but some profitable developments could be made, particularly in the area of turbulence modelling.     

Heat transfer and heat transfer fouling in Kraft black liquor evaporators

A large number of experiments have been performed with New Zealand Forest Products Kraft black liquor to measure heat transfer coefficients and fouling rates during convective and subcooled flow boiling heat transfer as a function of surface temperature, bulk temperature, velocity, and solids concentration. Results from experiments with two chemical fouling inhibitors, with Teflon surface coating and in plate and frame heat exchangers, also are presented. The fouling deposits are analyzed with respect to appearance, composition, and process conditions for which they were obtained. With the assumption of chemical reaction-controlled fouling, a deposition model is developed and compared with the experimental data.