Mesoscale modelling of processing rubber-toughened acrylic polymers

Abstract

The use of modelling in reproducing the microstructure of rubber-toughened acrylic polymers has been examined. A modelling procedure has been carried out in three stages. In the first stage, a rheological constitutive equation for rubber-toughened poly (methyl methacrylate) (RTPMMA) has been developed. In the second stage, the flow of RTPMMA melt has been modelled simulating common industrial polymer processing techniques such as extrusion and injection moulding. For the final stage, a mesoscale model has been built in order to reproduce the RTPMMA microstructure. Comparison with experimental observations has shown that the code has successfully predicted that rubber particle elongation is much more pronounced during injection moulding than during extrusion. It has been shown that particle elongation is greater near the walls of the mould, whereas the particles are more or less spherical in the central region of the mould. The 'shear' region (where the particles deform at an angle of approximately ±45°) has been reproduced. Particle distribution across the width and length of the mould has been found to be fairly uniform. Such a mesoscale model not only provides a better explanation of experimental observations for toughened polymers, but it can also provide the polymer industry with the ability to make useful suggestions for possible routes to improved materials for a wide range of multi-phase systems.     

Application of discrete distribution point heat source model to simulate multipass weld thermal cycles in medium thick plates

Abstract

An analytical solution to the heat flow differential equation has been proposed, which allows an adequate and simplified approach to multipass welding conditions in the heat affected zone. The solution is based on the medium thick plate temperature distribution initially proposed by Rosenthal. The model applies a discrete distribution of point heat sources localised on any point of the plate that is being welded. This approach allows changing the position of the heat sources in the groove from one pass to another, reproducing multipass welding conditions. Actual thermal cycles of multipass welding of AISI 304 and 2304 stainless steels were recorded and compared with simulated thermal cycles, which verified the agreement between the simulated and the actual HAZ thermal cycles. Microstructures of alloys UNS S32304 and UNS S32205 were reproduced in the Gleeble system using the calculated thermal cycles and their comparison with actual weld microstructures confirmed the utility of the proposed heat flow model for metallurgical weldability studies involving multipass welding.     

Probing the role of instantaneous current waveform in numerical modelling of resistance spot welding process

Abstract

In numerical modelling of the resistance spot welding process, a significant input parameter is the value of the weld current and traditionally, the rms value corresponding to the actual, instantaneous current waveform is used. The rms value implies a constant weld current for the entire weld time instead of the real-time current waveforms. Although the rms value represents an effective approximation of the real-time current waveform, the influence of the peak current and of the current slopes in each half cycle on the welding process cannot be realised in modelling when the rms value is used. Mathematically, an alternating current waveform with higher peak value and lower current on-time in each half cycle may correspond to a rms value that is nearly similar corresponding to another waveform with lower peak value and larger current on-time in each half cycle. The resulting rate of heating and the subsequent size of the weld nugget may not be the same for both the current signals since the resistive heating in resistance spot welding is transient in nature. This is precisely observed in the present work through a detailed investigation using three different ac spot welding machines. A two-dimensional, axisymmetric model is used to analyse the spot welding process using both the actual current waveform and the corresponding rms value as inputs. The computed weld dimensions show better predictions with the instantaneous current waveform as input rather than the corresponding rms value.     

Experimental defect analysis and force prediction simulation of high weld pitch friction stir welding

Abstract

Experimental data for AA 6061-T6 friction stir welded at rotational and travel speeds ranging from 1000 to 5000 rev min^?1 and from 290 to 1600 mm min^?1 (11–63 ipm) are presented. The present paper examines the forces and torques during friction stir welding (FSW) with respect to mechanistic defect development owing to process parameter variation. Two types of defects are observed: wormholes and weld deformation in the form of significant excess flash material. A 3D numerical model, implemented using the computational fluids dynamics package Fluent, is used to simulate and investigate the parametric relationship of the forces and torques during FSW. In order to establish a mechanistic quantification of the FSW process, two mechanical models, the Couette and the viscoplastic fluid flow models, were simulated and compared with experimental data for AA 6061-T6.     

Evaluation of 2D, 3D and applied plastic strain methods for predicting buckling welding distortion and residual stress

Abstract

Welding induces residual stresses which in thin section structures may cause buckling distortion. The magnitude of longitudinal residual stress is critical in the prediction of buckling distortion, which affects numerous welding applications in the ship building, railroad and other industries. The objectives of this paper are to overview and evaluate modelling procedures for bucking distortion. Moving source two-dimensional (2D), three-dimensional (3D) small deformation, 3D large deformation, and 2D–3D applied plastic strain analyses are evaluated by comparing computed residual stress and distortion against experimental measurements. Guidelines for modelling welding distortion are developed along with an assessment of the efficiency and limitations of the various analysis methods.     

Sensitivity study of IHTC on solidification simulation for automotive casting

Abstract

Interface heat transfer coefficient values between the mould/metal interfaces need to be precisely determined in order to accurately predict the thermal histories at different locations in automotive castings. Thermo-mechanical simulations are carried out for Al–Si alloy casting processes using a commercial code. The simulation results are verified with experimental data from the literature. Sensitivity studies show that the choice of the initial value of the interface heat transfer coefficient (IHTC) between chill/metal as well as the sand mould/metal interfaces has a marked effect on the cooling curves. In addition, having chosen an initial value of the IHTC, the analyses also show differences in the solidification rate of the casting alloy near the sand/metal and chill/metal interfaces, upon further cooling. The gap formation, which results in a change in IHTC from the initial value, does not affect the cooling curves in the vicinity of the sand/metal interface due to lower thermal conductivity of sand. However it is found to have a considerable effect in the chill/metal interfacial regions due to higher thermal conductivity of the chill. Based on these studies we recommend initial IHTC values of 3000 and 7000 W m^–2 K^–1 for sand/metal and chill (steel)/metal interfaces respectively, for application in casting simulations.     

Numerical simulation of the effect of fluid flow on solute distribution and dendritic morphology

Abstract

The presence of bulk and interdendritic flow during solidification can alter the microstructure, potentially leading to the formation of defects. In this paper, a numerical model is presented for the direct simulation of dendritic growth in the presence of fluid flow in both liquid and mushy zones. The Navier–Stokes equations are solved for multiphase flow using a projection method. The energy conservation and solute diffusion equations are solved via a combined stochastic nucleation approach and finite difference solution to simulate dendritic growth. The predicted microstructures illustrate typical asymmetric dendritic growth behaviour under forced convection, which is consistent with prior similar simulations of a single dendrite during unconstrained growth (both 2D and 3D). The micromodel was coupled with a macromodel to investigate the effects of forced fluid flow on equiaxed dendritic growth and micro-segregation during vacuum arc remelting.     

Generalised constitutive equations for densification of metal matrix coated fibre composites

Abstract

The present paper completes a study of constitutive equations for the consolidation processing of continuous fibre reinforced metal matrix composite materials. It builds on an earlier paper in which physically based constitutive equations were derived for the case of symmetrical, isostatic loading. In the present paper, constitutive equations are developed for in plane, general stress states. The total deformation of the consolidating composite is expressed as the sum of a conventional deviatoric creep term, together with a dilatational term, which was derived using a variational method previously published. The equations contain only two material parameters, which are the conventional creep coefficient and exponent for the fibre coating material (in this case, Ti-6Al-4V). The resulting equations have been implemented into finite element software enabling the simulation of practical consolidation processes. The model has been verified by comparing predicted results with those obtained from independent micromechanical models. A number of experimental tests have been carried out, and the model is used to predict the rates of densification for a range of experimental pressure and temperature histories. Good comparisons have been achieved.     

Preparation,characterisation and computational study of poly(ϵ-caprolactone) based nanocomposites

Abstract

In recent years, scientific and industrial interest has been focused on the preparation of organic/inorganic nanocomposites because of their unique hybrid properties correlated with the enormous interfacial adhesion region that is a characteristic of nanoparticles. The objective of the whole research was to improve poly-caprolactone (PCL) mechanical and barrier performances by using silica spherical nanoparticles for filling. In particular, in order to improve the polymeric matrix/inorganic nanofiller's interfacial adhesion and consequently to achieve a fine nanometric dispersion, silica nanoparticles have been chemically modified by grafting onto them a hydroxyl endcapped PCL, after wheich they have been melt blended with high molecular weight PCL. In the present paper, details on the synthesis, morphology and mechanical properties of the prepared nanocomposites are reported. Moreover, a numerical tool has been used to predict the mechanical properties of the nanocomposite, starting from the morphology of the material observed by scanning electron micrography, and the individual properties of the constituents.     

Effect of silver addition on formation of secondary phases in squeeze cast Al–Cu–Mg alloys

Abstract

The effect of silver addition on the formation of secondary phases in squeeze cast Al–4.0Cu–1.5Mg and Al–4.0Cu–1.5Mg–0.7Ag (all wt-%) alloys has been investigated using optical microscopy, scanning electron microscopy, energy dispersive X-ray spectroscopy, X-ray diffractometry, and transmission electron microscopy. The as cast microstructure of both alloys consists of primary dendritic α-Al and various types of secondary solidification phase, e.g. Al₂Cu, Al₂CuMg, Al(Cu,Ag)Mg, and icosahedral (I) and decagonal (D) quasicrystalline phases. However, the solidification path in the interdendritic region during squeeze casting is different for each alloy, i.e. L→ternary α-Al–Al₂Cu–Al₂CuMg eutectic in Al–4.0Cu–1.5Mg and L→L′+Al₂Cu→α-Al–Al₂Cu–Al(Cu_0.75Ag_0.25)Mg eutectic in Al–4.0Cu–1.5Mg–0.7Ag. This indicates that silver acts as an alloying element stabilising the formation of Al(Cu,Ag)Mg Laves phase. The remaining copper and iron rich liquid in the interdendritic region at the final stage of solidification solidifies into a mixed structure of α-Al, Al₂Cu, and AlCuFe I (or D) phases. The composition of the I and D phases, measured by energy dispersive X-ray spectroscopy, is in the range Al–(27～28)Cu–(9～10)Fe and Al–(26～27)Cu–(7～9)Fe (all at.-%) respectively.