Condition-Based Maintenance (CBM) and Prognostics and Health Management (PHM) technologies aim at improving the availability, reliability, maintainability, and safety of systems through the development of fault diagnostic and failure prognostic algorithms. In complex engineering systems, such as aircraft, power plants, etc., the prognostic activities have been limited to the component-level, primarily due to the complexity of large-scale engineering systems. However, the output of these prognostic algorithms can be practically useful for the system managers, operators, or maintenance personnel, only if it helps them in making decisions, which are based on system-level parameters. Therefore, there is an emerging need to build health assessment methodologies at the system-level. This research employs techniques from the field of design-of-experiments to build response surface metamodels at the system-level that are built on the foundations provided by component-level damage models.

Integrally moulded hinges and tension bands are important features in packaging components for plastic closures and their function is critically dependent on the flow induced micromorphology in the hinge section. Polymer characteristics and processing of the hinge also have an influence on the hinge properties obtained. This study is aimed at obtaining interrelationships between polymer characteristics, in-cavity flow, microstructure development and hinge properties, to produce hinges with enhanced functional properties. Three different virgin polypropylene (PP) grades were investigated (homopolymer PP-H, random copolymer PP-RC and impact copolymer PP-IC) and injection moulding simulation was carried out using Moldflow software. In-cavity data acquisition has been carried out for different sets of injection moulding conditions, using high performance transducers and a data acquisition system. A comparison between Moldflow simulation and practical injection moulding data suggests that, for thin wall injection moulded components the real time pressure data are in close agreement during the injection stage. During the packing stage there is some disagreement between these data, since the thickness of hinge and tension band sections are 0.4 mm and 0.5 mm respectively, suggesting that these dimensions are extending the capability of the software. An extensive study using a design of experiments (DoE) approach was carried out on both practical and predictive data. Injection velocity and melt temperature were the most influential factors on the component mechanical properties. From the optical micrographs it is observed that PP-RC has a finer micro-structure compared to PP-H and PP-IC and some micrographs confirm Moldflow simulation results in which hesitation effects are evident, as the flow converges into the thin hinge and tension band sections. PP-clay nanocomposites (PP-CN) were prepared using a twin screw compounder. Transmission electron microscopy (TEM) has shown some evidence of dispersion and exfoliation of the clay particles in the PP matrix. However, X-ray diffraction (XRD) results show a reduction in inter-layer spacing of PPCN s possibly due to clay compaction. The addition of nano-clay however has not resulted in any significant improvements in the mechanical properties of hinges and tension bands. The high degree of molecular orientation induced in the hinge and tension-band sections appears to mask any improvements attributed to the addition of nano-clay. From the reprocessed and post consumer recyclate (PCR) study conducted on hinges and tension bands, it is seen that with an increase in both the re-processing and PCR content there is a decrease in the component strength of around 14%, giving scope to potentially use PCR in future packaging applications. Investigations conducted on colour pigments (violet and green) reveal that the onset of crystallisation for green pigmented mouldings is considerably higher (16°C) than for natural and violet mouldings. Optical micrographs also reveal a finer microstructural texture for green components, indicating a high nucleating capability of the green pigment. Irrespective of the colour, both for hinges and tension bands, the yield stress values were around twice as high as the values quoted in the manufacturer s data sheet for isotropic PP, due to the high levels of molecular orientation in the hinge and tension band sections. In order to industrially validate the findings from the DoE study, commercial closures were produced in industry on a production tool then characterised. In the case of tension bands, there was a good agreement between the results obtained from lab scale and industrial study due to the relatively simple geometry. For hinges this agreement is not so clear. Finally a comparison of mechanical properties of the 3 PP grades shows that PP-H has a higher yield stress compared to PP-IC and PP-RC and yield stress is significantly higher (yield strain values are lower) than values quoted by the manufacturer. The PhD study has confirmed the process conditions that are able to optimise all the interactive effects to improve functional properties in high volume parts in the packaging industry.

A flexible nanofibrous PVDF-BaTiO3 composite material is prepared for impact sensing and biomechanical energy harvesting applications. Dielectric polyvinylidene fluoride (PVDF) and barium titanate (BaTiO3)-PVDF nanofibrous composites were made using the electrospinning process based on a design of experiments approach. The ultrasonication process was optimized using a 2k factorial DoE approach to disperse BaTiO3 particles in PVDF solution in DMF. Scanning electron microscopy was used to characterize the microstructure of the fabricated mesh. The FT-IR and Raman analysis were carried out to investigate the crystal structure of the prepared mesh. Surface morphology contribution to the adhesive property of the composite was explained through contact angle measurements. The capacitance of the prepared PVDF- BaTiO3 nanofibrous mesh was a more than 40% increase over the pure PVDF nanofibers. A comparative study of dielectric relaxation, thermodynamics properties and impact analysis of electrospun polyvinylidene fluoride (PVDF) and 3% BaTiO3-PVDF nanofibrous composite are presented. The frequency dependent dielectric properties revealed micro structural features of the composite material. The dielectric relaxation behavior is further supported by complex impedance analysis and Nyquist plots. The temperature dependence of electric modulus shows Arrhenius type behavior. The observed non-Debye dielectric relaxation in electric loss modulus follows a thermally activated process which can be attributed to a small polaron hopping effect. The particle induced crystallization is supported with thermodynamic properties from differential scanning calorimetric (DSC) measurements. The observed increase in piezoelectric response by impact analysis was attributed to the interfacial interaction between PVDF and BaTiO3. The interfacial polarization between PVDF and BaTiO3 was studied using density functional theory calculations and atomic charge density analysis. The results obtained indicates that electrospinning offers a potential way to produce nanofibers with desired crystalline nature which was not observed in molded samples. In addition, BaTiO3 can be used to increase the capacitance, desired surface characteristics of the PVDF nanofibers which can find potential application as flexible piezoelectric sensor mimicking biological skin for use in impact sensing and energy harvesting applications.

La simulation numérique est devenue une alternative à l’expérimentation réelle pour étudier des phénomènes physiques. Cependant, les phénomènes complexes requièrent en général un nombre important de simulations, chaque simulation étant très coûteuse en temps de calcul. Une approche basée sur la théorie des plans d’expériences est souvent utilisée en vue de réduire ce coût de calcul. Elle consiste à partir d’un nombre réduit de simulations, organisées selon un plan d’expériences numériques, à construire un modèle d’approximation souvent appelé métamodèle, alors beaucoup plus rapide à évaluer que le code lui-même. Traditionnellement, les plans utilisés sont des plans de type Space-Filling Design (SFD). La première partie de la thèse concerne la construction de plans d’expériences SFD à taille fixe adaptés à l’identification d’un modèle de krigeage car le krigeage est un des métamodèles les plus populaires. Nous étudions l’impact de la contrainte Hypercube Latin (qui est le type de plans les plus utilisés en pratique avec le modèle de krigeage) sur des plans maximin-optimaux. Nous montrons que cette contrainte largement utilisée en pratique est bénéfique quand le nombre de points est peu élevé car elle atténue les défauts de la configuration maximin-optimal (majorité des points du plan aux bords du domaine). Un critère d’uniformité appelé discrépance radiale est proposé dans le but d’étudier l’uniformité des points selon leur position par rapport aux bords du domaine. Ensuite, nous introduisons un proxy pour le plan minimax-optimal qui est le plan le plus proche du plan IMSE (plan adapté à la prédiction par krigeage) et qui est coûteux en temps de calcul, ce proxy est basé sur les plans maximin-optimaux. Enfin, nous présentons une procédure bien réglée de l’optimisation par recuit simulé pour trouver les plans maximin-optimaux. Il s’agit ici de réduire au plus la probabilité de tomber dans un optimum local. La deuxième partie de la thèse porte sur un problème légèrement différent. Si un plan est construit de sorte à être SFD pour N points, il n’y a aucune garantie qu’un sous-plan à n points (n 6 N) soit SFD. Or en pratique le plan peut être arrêté avant sa réalisation complète. La deuxième partie est donc dédiée au développement de méthodes de planification séquentielle pour bâtir un ensemble d’expériences de type SFD pour tout n compris entre 1 et N qui soient toutes adaptées à la prédiction par krigeage. Nous proposons une méthode pour générer des plans séquentiellement ou encore emboités (l’un est inclus dans l’autre) basée sur des critères d’information, notamment le critère d’Information Mutuelle qui mesure la réduction de l’incertitude de la prédiction en tout point du domaine entre avant et après l’observation de la réponse aux points du plan. Cette approche assure la qualité des plans obtenus pour toutes les valeurs de n, 1 6 n 6 N. La difficulté est le calcul du critère et notamment la génération de plans en grande dimension. Pour pallier ce problème une solution a été présentée. Cette solution propose une implémentation astucieuse de la méthode basée sur le découpage par blocs des matrices de covariances ce qui la rend numériquement efficace. / In recent years, computer simulation models are increasingly used to study complex phenomena. Such problems usually rely on very large sophisticated simulation codes that are very expensive in computing time. The exploitation of these codes becomes a problem, especially when the objective requires a significant number of evaluations of the code. In practice, the code is replaced by global approximation models, often called metamodels, most commonly a Gaussian Process (kriging) adjusted to a design of experiments, i.e. on observations of the model output obtained on a small number of simulations. Space-Filling-Designs which have the design points evenly spread over the entire feasible input region, are the most used designs. This thesis consists of two parts. The main focus of both parts is on construction of designs of experiments that are adapted to kriging, which is one of the most popular metamodels. Part I considers the construction of space-fillingdesigns of fixed size which are adapted to kriging prediction. This part was started by studying the effect of Latin Hypercube constraint (the most used design in practice with the kriging) on maximin-optimal designs. This study shows that when the design has a small number of points, the addition of the Latin Hypercube constraint will be useful because it mitigates the drawbacks of maximin-optimal configurations (the position of the majority of points at the boundary of the input space). Following this study, an uniformity criterion called Radial discrepancy has been proposed in order to measure the uniformity of the points of the design according to their distance to the boundary of the input space. Then we show that the minimax-optimal design is the closest design to IMSE design (design which is adapted to prediction by kriging) but is also very difficult to evaluate. We then introduce a proxy for the minimax-optimal design based on the maximin-optimal design. Finally, we present an optimised implementation of the simulated annealing algorithm in order to find maximin-optimal designs. Our aim here is to minimize the probability of falling in a local minimum configuration of the simulated annealing. The second part of the thesis concerns a slightly different problem. If XN is space-filling-design of N points, there is no guarantee that any n points of XN (1 6 n 6 N) constitute a space-filling-design. In practice, however, we may have to stop the simulations before the full realization of design. The aim of this part is therefore to propose a new methodology to construct sequential of space-filling-designs (nested designs) of experiments Xn for any n between 1 and N that are all adapted to kriging prediction. We introduce a method to generate nested designs based on information criteria, particularly the Mutual Information criterion. This method ensures a good quality forall the designs generated, 1 6 n 6 N. A key difficulty of this method is that the time needed to generate a MI-sequential design in the highdimension case is very larg. To address this issue a particular implementation, which calculates the determinant of a given matrix by partitioning it into blocks. This implementation allows a significant reduction of the computational cost of MI-sequential designs, has been proposed.

O presente trabalho apresenta um modelo de aplicação de ferramentas de projeto integradas ao longo das fases de desenvolvimento de produto, neste caso, aplicadas na melhoria do produto suporte para fixação de cilindro de gás natural veicular. O foco do trabalho é apresentar a integração de ferramentas nas fases de Projeto Informacional, Projeto Conceitual e Projeto Detalhado do Processo de Desenvolvimento de Produtos. Entende-se por integração a escolha de ferramentas que permitam conduzir o fluxo de informação ao longo das fases de desenvolvimento de produtos, de tal forma que a informação de saída de uma ferramenta seja a informação de entrada da ferramenta subseqüente. As ferramentas integradas a partir da fase de Projeto Informacional foram a Pesquisas de Mercado Qualitativa e Quantitativa, com a finalidade de identificar as demandas dos clientes. As demandas dos clientes foram os dados de entrada da Matriz da Qualidade (Quality Function Deployment - QFD), resultando nos requisitos do produto e suas respectivas especificações-meta. A partir dos requisitos do produto, diferentes conceitos (configurações) foram gerados, apoiados pela Matriz Morfológica no Projeto Conceitual. Na seqüência utilizou-se a ferramenta de Projeto de Experimentos (Design of Experiments - DOE) para avaliar a estimativa de preço frente às possíveis configurações do produto. Com a Matriz de Pugh, alternativas de conceito de produto foram avaliadas possibilitando a escolha do melhor conceito de produto. No Projeto Detalhado, foi aplicada ferramenta de Análise dos Modos de Falha e seus Efeitos (Failure Mode and Effects Analysis - FMEA), utilizado de forma integrada com o QFD, para identificar as falhas atuais e potenciais e seus efeitos em sistemas e processo. Em função das demandas identificadas, foram definidas e implementadas melhorias no produto. Observou-se a adequabilidade destas ferramentas de projeto para aplicação de forma integrada, garantindo um fluxo contínuo de informações rastreáveis e que tendem a levar à uma reduzida chance de perdas ao longo do processo. / There are few examples in literature about the integration of project tools along the product development phases. The main research objective in thesis is to integrate some tools that facilitate the information flow along the product development phases, more specifically in Informational Project, Conceptual Project and Detailed Project phases. The product improvement “support for Vehicular Natural Gas” was the object of study in thesis. The main idea is that the information output from one tool is the input information of the subsequent tool. Starting from the Informational Project phase it was performed qualitative and quantitative market researches with the purpose of identifying the customers' demands for the studied product. The customers’ demands were the entrance data of the QFD (Quality Function Deployment) tool resulting in the product requirements and their respective specifications-goal. In Concept Project the product requirements were converted in functions and further different concepts were generated through the Morphologic Analysis. In the sequence, it was used the DOE (Design for experiments) tool to evaluate the estimate price to the possible products' configurations. The Pugh Matrix tool was used for concepts evaluation and choice. The FMEA (Failure Mode and Effects Analysis) tool integrated with QFD was useful for current and potential failures identification and impact analysis in the system and process. With the application of these five tools the users’ demands were identified and improvements to the product were performed. The chosen tools proved to be adequate for integration, assuring that a continuous trackable information flow was attained with presumable reduced information loss, along the Product Development Process phases.

O presente trabalho apresenta um modelo de aplicação de ferramentas de projeto integradas ao longo das fases de desenvolvimento de produto, neste caso, aplicadas na melhoria do produto suporte para fixação de cilindro de gás natural veicular. O foco do trabalho é apresentar a integração de ferramentas nas fases de Projeto Informacional, Projeto Conceitual e Projeto Detalhado do Processo de Desenvolvimento de Produtos. Entende-se por integração a escolha de ferramentas que permitam conduzir o fluxo de informação ao longo das fases de desenvolvimento de produtos, de tal forma que a informação de saída de uma ferramenta seja a informação de entrada da ferramenta subseqüente. As ferramentas integradas a partir da fase de Projeto Informacional foram a Pesquisas de Mercado Qualitativa e Quantitativa, com a finalidade de identificar as demandas dos clientes. As demandas dos clientes foram os dados de entrada da Matriz da Qualidade (Quality Function Deployment - QFD), resultando nos requisitos do produto e suas respectivas especificações-meta. A partir dos requisitos do produto, diferentes conceitos (configurações) foram gerados, apoiados pela Matriz Morfológica no Projeto Conceitual. Na seqüência utilizou-se a ferramenta de Projeto de Experimentos (Design of Experiments - DOE) para avaliar a estimativa de preço frente às possíveis configurações do produto. Com a Matriz de Pugh, alternativas de conceito de produto foram avaliadas possibilitando a escolha do melhor conceito de produto. No Projeto Detalhado, foi aplicada ferramenta de Análise dos Modos de Falha e seus Efeitos (Failure Mode and Effects Analysis - FMEA), utilizado de forma integrada com o QFD, para identificar as falhas atuais e potenciais e seus efeitos em sistemas e processo. Em função das demandas identificadas, foram definidas e implementadas melhorias no produto. Observou-se a adequabilidade destas ferramentas de projeto para aplicação de forma integrada, garantindo um fluxo contínuo de informações rastreáveis e que tendem a levar à uma reduzida chance de perdas ao longo do processo. / There are few examples in literature about the integration of project tools along the product development phases. The main research objective in thesis is to integrate some tools that facilitate the information flow along the product development phases, more specifically in Informational Project, Conceptual Project and Detailed Project phases. The product improvement “support for Vehicular Natural Gas” was the object of study in thesis. The main idea is that the information output from one tool is the input information of the subsequent tool. Starting from the Informational Project phase it was performed qualitative and quantitative market researches with the purpose of identifying the customers' demands for the studied product. The customers’ demands were the entrance data of the QFD (Quality Function Deployment) tool resulting in the product requirements and their respective specifications-goal. In Concept Project the product requirements were converted in functions and further different concepts were generated through the Morphologic Analysis. In the sequence, it was used the DOE (Design for experiments) tool to evaluate the estimate price to the possible products' configurations. The Pugh Matrix tool was used for concepts evaluation and choice. The FMEA (Failure Mode and Effects Analysis) tool integrated with QFD was useful for current and potential failures identification and impact analysis in the system and process. With the application of these five tools the users’ demands were identified and improvements to the product were performed. The chosen tools proved to be adequate for integration, assuring that a continuous trackable information flow was attained with presumable reduced information loss, along the Product Development Process phases.

This research investigates formulation, compounding and thin-wall injection moulding of Polypropylene/clay nanocomposites (PPCNs) prepared using conventional melt-state processes. An independent study on single screw extrusion dynamics using Design of Experiments (DoE) was performed first. Then the optimum formulation of PPCNs and compounding conditions were determined using this strategy. The outcomes from the DoE study were then applied to produce PPCN compounds for the subsequent study of thin-wall injection moulding, for which a novel four-cavity injection moulding system was designed using CAD software and a new moulding tool was constructed based upon this design. Subsequently, the effects of moulding conditions, nanoclay concentration and wall thickness on the injection moulded PPCN parts were investigated. Moreover, simulation of the injection moulding process was carried out to compare the predicted performance with that obtained in practice by measurement of real-time data using an in-cavity pressure sensor. For the selected materials, the optimum formulation is 4 wt% organoclay (DK4), 4 wt% compatibiliser (Polybond 3200, PPgMA) and 1.5 wt% co-intercalant (erucamide), as the maximum interlayer spacing of clay can be achieved in the selected experimental range. Furthermore, DoE investigations determined that a screw speed of 159 rpm and a feed rate of 5.4 kg/h are the optimum compounding conditions for the twin screw extruder used to obtain the highest tensile modulus and yield strength from the PPCN compounds. The optimised formulation of PPCNs and compounding conditions were adopted to manufacture PPCN materials for the study of thin-wall injection moulding. In the selected processing window, tensile modulus and yield strength increase significantly with decreasing injection speed, due to shear-induced orientation effects, exemplified by a significantly increased frozen layer thickness observed by optical microscopy (OM) and Moldflow® simulation. Furthermore, the TEM images indicate a strong orientation of clay particles in the flow direction, so the PPCN test pieces cut parallel to the flow direction have 36.4% higher tensile modulus and 13.6 % higher yield strength than those cut perpendicular to the flow direction, demonstrating the effects of shear induced orientation on the tensile properties of thin-wall injection moulded PPCN parts. In comparison to injection speed, mould temperature has very limited effects in the selected range investigated (25-55 °C), in this study. The changes in moulding conditions show no distinctive effects on PP crystallinity and intercalation behaviour of clay. Impact toughness of thin wall injection moulded PPCN parts is not significantly affected by either the changes in moulding conditions or clay concentration (1-5 %). The SEM images show no clear difference between the fracture surfaces of PPCN samples with different clay concentrations. TEM and XRD results suggest that higher intercalation but lower exfoliation is achieved in PPCN parts with higher clay content. The composites in the thin sections (at the end of flow) have 34 % higher tensile modulus and 11 % higher yield strength than in the thicker sections, although the thin sections show reduced d001 values. This is attributed to the significantly enhanced shear-induced particle/molecular orientation and more highly oriented frozen layer, according to TEM, OM and process simulation results. In terms of the reduced d001 values in the thin sections, it is proposed that the extreme shear conditions in the thin sections stretch the PP chains in the clay galleries to a much higher level, compaction of clay stacks occurs as less interspacing is needed to accommodate the stretched chains, but rapid cooling allows no time for the chains to relax and expand the galleries back. Overall, data obtained from both actual moulding and simulation indicate that injection speed is of utmost importance to the thin-wall injection moulding process, development of microstructure, and thus the resulting properties of the moulded PPCN parts, in the selected experimental ranges of this research.

O presente trabalho apresenta um modelo de aplicação de ferramentas de projeto integradas ao longo das fases de desenvolvimento de produto, neste caso, aplicadas na melhoria do produto suporte para fixação de cilindro de gás natural veicular. O foco do trabalho é apresentar a integração de ferramentas nas fases de Projeto Informacional, Projeto Conceitual e Projeto Detalhado do Processo de Desenvolvimento de Produtos. Entende-se por integração a escolha de ferramentas que permitam conduzir o fluxo de informação ao longo das fases de desenvolvimento de produtos, de tal forma que a informação de saída de uma ferramenta seja a informação de entrada da ferramenta subseqüente. As ferramentas integradas a partir da fase de Projeto Informacional foram a Pesquisas de Mercado Qualitativa e Quantitativa, com a finalidade de identificar as demandas dos clientes. As demandas dos clientes foram os dados de entrada da Matriz da Qualidade (Quality Function Deployment - QFD), resultando nos requisitos do produto e suas respectivas especificações-meta. A partir dos requisitos do produto, diferentes conceitos (configurações) foram gerados, apoiados pela Matriz Morfológica no Projeto Conceitual. Na seqüência utilizou-se a ferramenta de Projeto de Experimentos (Design of Experiments - DOE) para avaliar a estimativa de preço frente às possíveis configurações do produto. Com a Matriz de Pugh, alternativas de conceito de produto foram avaliadas possibilitando a escolha do melhor conceito de produto. No Projeto Detalhado, foi aplicada ferramenta de Análise dos Modos de Falha e seus Efeitos (Failure Mode and Effects Analysis - FMEA), utilizado de forma integrada com o QFD, para identificar as falhas atuais e potenciais e seus efeitos em sistemas e processo. Em função das demandas identificadas, foram definidas e implementadas melhorias no produto. Observou-se a adequabilidade destas ferramentas de projeto para aplicação de forma integrada, garantindo um fluxo contínuo de informações rastreáveis e que tendem a levar à uma reduzida chance de perdas ao longo do processo. / There are few examples in literature about the integration of project tools along the product development phases. The main research objective in thesis is to integrate some tools that facilitate the information flow along the product development phases, more specifically in Informational Project, Conceptual Project and Detailed Project phases. The product improvement “support for Vehicular Natural Gas” was the object of study in thesis. The main idea is that the information output from one tool is the input information of the subsequent tool. Starting from the Informational Project phase it was performed qualitative and quantitative market researches with the purpose of identifying the customers' demands for the studied product. The customers’ demands were the entrance data of the QFD (Quality Function Deployment) tool resulting in the product requirements and their respective specifications-goal. In Concept Project the product requirements were converted in functions and further different concepts were generated through the Morphologic Analysis. In the sequence, it was used the DOE (Design for experiments) tool to evaluate the estimate price to the possible products' configurations. The Pugh Matrix tool was used for concepts evaluation and choice. The FMEA (Failure Mode and Effects Analysis) tool integrated with QFD was useful for current and potential failures identification and impact analysis in the system and process. With the application of these five tools the users’ demands were identified and improvements to the product were performed. The chosen tools proved to be adequate for integration, assuring that a continuous trackable information flow was attained with presumable reduced information loss, along the Product Development Process phases.

This thesis deals with choises of using mathematical statistics when optimising the compression casting process of high-voltage device transformer. There is a theoretical consideration to be found in the introduction which concerns the compression casting itself and all necessary information connected with it. Then there is a key numerical analysis part following. In the first instance there are variability problems of individual casting device discussed and then a regression analysis made to demonstrate and prove a link between the partial discharge and the key parameters of casting process. Finally an “optimal” casting sequence is suggested and alternative attitude problems with the assistance of Design of Experiments (DOE) are discussed.

This work is devoted to study the influence of the composition on mechanical properties of high performance concret based on portland cement. 29 samples of high performance concrete (HPC) warying in composition were prepared. The constituents used for HPC preparation were: cement Aalborg White, silica fume, finelly ground blast furnace slag, finelly ground silica, calcinated bauxite and polycarboxylate based superplasticizer. The mechanical parameters (flexural and compressive strength) of the samples were observed after 7 and 28 days of moist curing. Compressive strength values after 28 days were in the range of 92 to 194 MPa and the flexural strength values were in the range of 7 to 23 MPa (without using of fiber reinforcement). The graphs showing mechanical parameters depending on the mixture composition were constructed and consequently evaluated.