Brightness of multilayer boards

A good appearance of a package enhances the sale of the product. The packing gives information about the content and instructions for the usage. In this master’s thesis, the optical properties of multilayer packaging board is studied. Especially means of increasing brightness of the multilayer board are evaluated. In the literature part, the effect of different factors on optical properties of a multilayer board are evaluated with the help of light scattering and absorption coefficients. The Kubelka-Munk theory can be used also in modelling brightness of the multilayer board. A large variety of different process factors, chemical aids and machine variables affect optical properties of board. In the experimental part, different methods to increase brightness of a 3-layer board were evaluated. It was discovered that brightness variation of broke (30 % share of the center layer pulp) have only minor influence on brightness of the board. The brightness variation must be high, roughly 9 % in order to alter brightness of the board by 1 %. Higher brightness can be achieved by bleaching the pulp, which holds the largest share of the center layer pulp. Here, 2,6 % increase in brightness of the pulp (60 % share of the center layer pulp) increased brightness of the board by 1 %. In a trial run at a board machine, there was no indication of decreased bulk of the board due to extended bleaching of the pulp. With pulp dyeing appearance and optical properties of a multilayer board can be influenced. By using bluish dyes the natural yellowness of pulps can be decreased and impression of whiteness is then increased. Brightness may deteriorate though, because of increasing light absorption of the dyed pulps. When the yellowness comes from the center layer pulp, the dye should be introduced there. Then the brightness decreasing effect of the dye decreases brightness of the board less. It was noticed that it is more important to maintain brightness of the top layer than brightness of the center layer, because the top layer pulp affects on brightness of the board the most. By introducing fillers into the top layer of a multilayer board it is possible to increase brightness of the board. Fillers with the highest light scattering increased the brightness of the board the most. Increasing light scattering increases brightness and also opacity. Higher opacity in the top layer decreases also the darkening effect of the center layer. Calcinated kaolin and PCC was found to increase the light scattering of the top layer the most at the filler comparison. Introducing fillers into the top layer of multilayer board may decrease bulk and modulus of elasticity of the top layer. This could lead to deteriorated bending stiffness.

Unidirectional fiber-reinforced composite as an oral implant abutment material: Experimental studies of E-glass fiber/BisGMA-TEGDMA polymer in vitro

Fiber-reinforced composites (FRCs) are a new group of non-metallic biomaterials showing a growing popularity in many dental and medical applications. As an oral implant material, FRC is biocompatible in bone tissue environment. Soft tissue integration to FRC polymer material is unclear. This series of in vitro studies aimed at evaluating unidirectional E-glass FRC polymer in terms of mechanical, chemical, and biological properties in an attempt to develop a new non-metallic oral implant abutment alternative. Two different types of substrates were investigated: (a) Plain polymer (BisGMA 50%–TEGDMA 50%) and (b) Unidirectional FRC. The mechanical behavior of high fiber-density FRCs was assessed using a three-point bending test. Surface characterization was performed using scanning electron and spinning disk confocal microscopes. The surface wettability/energy was determined using sessile drop method. The blood response, including blood-clotting ability and platelet morphology was evaluated. Human gingival fibroblast cell responses - adhesion kinetics, adhesion strength, and proliferation activity - were studied in cell culture environment using routine test conditions. A novel tissue culture method was developed and used to evaluate porcine gingival tissue graft attachment and growth on the experimental composite implants. The analysis of the mechanical properties showed that there is a direct proportionality in the relationship between E-glass fiber volume fraction and toughness, modulus of elasticity, and load bearing capacity; however, flexural strength did not show significant improvement when high fiber-density FRC is used. FRCs showed moderate hydrophilic properties owing to the presence of exposed glass fibers on the polymer surface. Blood-clotting time was shorter on FRC substrates than on plain polymer. The FRC substrates also showed higher platelet activation state than plain polymer substrates. Fibroblast cell adhesion strength and proliferation rate were highly pronounced on FRCs. A tissue culture study revealed that gingival epithelium and connective tissue established an immediate close contact with both plain polymer and FRC implants. However, FRC seemed to guide epithelial migration outwards from the tissue/implant interface. Due to the anisotropic and hydrophilic nature of FRC, it can be concluded that this material enhances biological events related with soft tissue integration on oral implant surface.

Effect of ultrastructural features on mechanical properties of softwood fiber

The main objective of this study was to develop mathematical model capable to describe the effect of ultrastructural features on the longitudinal modulus of elasticity of softwood fiber. Another objective was to identify, based on ultrastructural features, a potential explanatory factor for the mechanical difference between Norway spruce and Scots pine fibers and to demonstrate its influence utilizing developed modelling tools. According to the literature, the main difference between the pine and spruce fibers is the pit structure, which is clearly different in these fibers. The spruce fiber contains a lot of tiny pits, whereas the pits of the pine fiber are larger and the total number of them is smaller. The effect of the pits on the longitudinal modulus of elasticity of fiber is studied with both the analytical and the numerical model. The results show that, although the spruce fiber seems to contain clearly more pits, larger pits appearing in the pine fiber turn out to have a stronger influence on the longitudinal modulus of elasticity of the fiber. The effect of local variation of microfibril angle which occurs near the pits seems to be minor. Moreover, the results suggest that spruce fibers may have higher ultimate strength due to the more uniform straining behavior.

Hyperbolic type metrics and distortion of quasiconformal map pings

This Ph.D. thesis consists of four original papers. The papers cover several topics from geometric function theory, more specifically, hyperbolic type metrics, conformal invariants, and the distortion properties of quasiconformal mappings. The first paper deals mostly with the quasihyperbolic metric. The main result gives the optimal bilipschitz constant with respect to the quasihyperbolic metric for the M¨obius self-mappings of the unit ball. A quasiinvariance property, sharp in a local sense, of the quasihyperbolic metric under quasiconformal mappings is also proved. The second paper studies some distortion estimates for the class of quasiconformal self-mappings fixing the boundary values of the unit ball or convex domains. The distortion is measured by the hyperbolic metric or hyperbolic type metrics. The results provide explicit, asymptotically sharp inequalities when the maximal dilatation of quasiconformal mappings tends to 1. These explicit estimates involve special functions which have a crucial role in this study. In the third paper, we investigate the notion of the quasihyperbolic volume and find the growth estimates for the quasihyperbolic volume of balls in a domain in terms of the radius. It turns out that in the case of domains with Ahlfors regular boundaries, the rate of growth depends not merely on the radius but also on the metric structure of the boundary. The topic of the fourth paper is complete elliptic integrals and inequalities. We derive some functional inequalities and elementary estimates for these special functions. As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.

Ilmatorjuntaohjuksen laukaisualustan vaaitusjärjestelmän kehittäminen

Työn tavoitteena oli vaaitusjärjestelmän kehittäminen ITO 2005 Asrad-R –ohjusjärjestelmän laukaisualustalle. Järjestelmäkontin jokaiseen kulmaan suunniteltiin nostojalat, joita voitiin kääntää sekä nostaa ja laskea hydraulisesti. Järjestelmään kuului myös hydraulikäyttöinen asetaso, jonka ylä- ja ala-asennoilla oli erillinen lukitus. Tärkein vaadittu toiminto oli järjestelmäkontin vaaitus maan vetovoiman suhteen epätasaisella alustalla sekä maastossa että kuorma-auton päällä. Lisäksi tarvittiin nostojalkojen nostoliikkeelle toiminto, jolla konttia nostetaan ja lasketaan siten, että se säilyttää lähtökulmansa. Kaikkia nostojalkojen sylintereitä oli mahdollista käyttää myös yksittäin. Järjestelmällä oli kovat ympäristövaatimukset, koska se oli suunniteltu sotalaitteeksi rauhan ja kriisin aikaista toimintaa varten. Riittävät vapausasteet järjestelmän toimimiseksi ajoneuvon apurungon päällä saatiin nostojalkojen rotaatioliikkeen joustosta ja tassujen liukumisesta poikittain apurungon kiinnikkeissä. Maastossa nostojalat olivat täysin jäykkiä ja liukuminen tapahtui tassujen ja maalevyjen välillä. Hydraulijärjestelmässä käytettiin on/off-magneettiventtiilejä, koska liikkeet olivat hitaita ja vaadittuun tarkkuuteen ja nopeuteen päästiin helposti. Keskeisiä suunnittelun lähtökohtia olivat rakenteiden keveys, järjestelmän yksinkertaisuus, hinta ja toimintavarmuus. Yksinkertaisella ja edullisella järjestelmällä saatiin aikaan hyvin toimiva ratkaisu.

Quasiconformal mappings and inequalities involving special functions

This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consists of four original papers. The topic studied deals with quasiconformal mappings and their distortion theory in Euclidean n-dimensional spaces. This theory has its roots in the pioneering papers of F. W. Gehring and J. Väisälä published in the early 1960’s and it has been studied by many mathematicians thereafter. In the first paper we refine the known bounds for the so-called Mori constant and also estimate the distortion in the hyperbolic metric. The second paper deals with radial functions which are simple examples of quasiconformal mappings. These radial functions lead us to the study of the so-called p-angular distance which has been studied recently e.g. by L. Maligranda and S. Dragomir. In the third paper we study a class of functions of a real variable studied by P. Lindqvist in an influential paper. This leads one to study parametrized analogues of classical trigonometric and hyperbolic functions which for the parameter value p = 2 coincide with the classical functions. Gaussian hypergeometric functions have an important role in the study of these special functions. Several new inequalities and identities involving p-analogues of these functions are also given. In the fourth paper we study the generalized complete elliptic integrals, modular functions and some related functions. We find the upper and lower bounds of these functions, and those bounds are given in a simple form. This theory has a long history which goes back two centuries and includes names such as A. M. Legendre, C. Jacobi, C. F. Gauss. Modular functions also occur in the study of quasiconformal mappings. Conformal invariants, such as the modulus of a curve family, are often applied in quasiconformal mapping theory. The invariants can be sometimes expressed in terms of special conformal mappings. This fact explains why special functions often occur in this theory.

Ultralujien terästen pienahitsien staattinen lujuus

Kandidaatintyön tarkoituksena oli selvittää hitsausliitosten mitoitusohjeita ultralujille teräksille. Työhön kuului laboratoriotestauksia, joiden avulla tarkasteltiin laskujen soveltuvuutta ultralujille teräksille. Laskuissa verrattiin erityisesti kimmoteorian ja plastisuusteorian toimivuutta. Työn tuloksena tuotettiin mitoitusohjeet otsapienahitseille, eli mitoitusvoimaan nähden poikittaisille hitseille. Myös kylkipienahitseille, eli mitoitusvoimaan nähden yhdensuuntaisille hitseille saatiin alustavia tuloksia.

Paperitehtaan sähkötasehallinta ja sähkön kysyntäjousto energiakustannusten hallinnassa

Paperiteollisuus on energiaintensiivistä teollisuutta, jossa on tehty pitkään työtä tuotantoprosessien energiatehokkuuden parantamiseksi. Paperitehtaan energiakustannuksiin voidaan kuitenkin vaikuttaa myös sähkötaseen hallinnalla ja sähkön kysyntäjouston avulla. Tehtaan seuraavan vuorokauden sähkön kulutus pyritään ennustamaan mahdollisimman tarkasti, mutta esimerkiksi paperitehtaan häiriötilanteissa sähkötase poikkeaa ennustetusta. Tällöin sähkötasetta voidaan korjata ensisijaisesti sähkön jälkimarkkinoiden eli Elbas- kaupankäynnin avulla. Ellei tasetta saada korjattua sähkön jälkimarkkinoilla tase-ero korjataan tasesähköllä, jonka hinta muodostuu säätösähkömarkkinoilla. Tasesähkön hinta saattaa poiketa Elspot- markkinahinnasta voimakkaasti, jolloin tase-erosta joko hyödytään tai hävitään kustannusmielessä. Tämän työn tarkoituksena on selvittää sähkötasehallinnan parantamisen ja sähkön kysyntäjouston vaikutukset paperitehtaan energiakustannuksiin. Työssä tutkittiin tehtaan sähkö-tasehallinnan nykytilannetta ja selvitettiin tase-erojen kustannusvaikuttavuutta. Lisäksi työssä luotiin ajomalleja sähkön kysyntäjouston toteuttamiselle massatehtaan eri tuotantoprosesseille, sekä määritettiin rajahintoja seuraavan vuorokauden energiaennusteeseen. Onnistunut energiaennuste perustuu paperitehtaan käynnin tarkkoihin ja ajankohtaisiin lähtötietoihin. Sähkötaseen poikkeamiin voidaan puolestaan varautua paremmin, kun informaatio tehtaan prosessien alasajosta tulee voimalaitoksen tietoon mahdollisimman aikaisin. Sähkötaseen poikkeamien hallinta voidaan tehdä, joko Elbas- kaupan tai tasesähkön avulla. Ajankohdasta ja tasepoikkeaman volyymista riippuen täytyy tehdä valinta, kumpi vaihtoehdoista on kustannusmielessä kannattavampi. Paperitehtaan eri prosesseille luoduilla ajomalleilla saatiin esiin huomattava säästöpotentiaali. Ajomallien noudattaminen vaatii suunnitelmallista tuotannon hallintaa ja sähkön Elspot- hinnan käyttäytymisen säännöllistä seurantaa. Seuraavan vuorokauden rajahintatietojen määrittämisen pohjalta voidaan arvioida, millä Elspot- hinnalla sähkön myynti muuttuu paperin tuotantoa kannattavammaksi.

Modification of commercial poly-lactide for extrusion coated food packaging applications

Poly-L-lactide (PLLA) is a widely used sustainable and biodegradable alternative to replace synthetic non-degradable plastic materials in the packaging industry. Conversely, its processing properties are not always optimal, e.g. insufficient melt strength at higher temperatures (necessary in extrusion coating processes). This thesis reports on research to improve properties of commercial PLLA grade (3051D from NatureWorks), to satisfy and extend end-use applications, such as food packaging by blending with modified PLLA. Adjustment of the processability by chain branching of commercial poly-L-lactide initiated by peroxide was evaluated. Several well-defined branched structures with four arms (sPLLA) were synthesized using pentaerythritol as a tetra-functional initiator. Finally, several block copolymers consisting of polyethylene glycol and PLLA (i.e. PEGLA) were produced to obtain a well extruded material with improved heat sealing properties. Reactive extrusion of poly-L-lactide was carried out in the presence of 0.1, 0.3 and 0.5 wt% of various peroxides [tert-butyl-peroxybenzoate (TBPB), 2,5-dimethyl-2,5-(tert-butylperoxy)-hexane (Lupersol 101; LOL1) and benzoyl peroxide (BPO)] at 190C. The peroxide-treated PLLAs showed increased complex viscosity and storage modulus at lower frequencies, indicating the formation of branched/cross linked architectures. The material property changes were dependent on the peroxide, and the used peroxide concentration. Gel fraction analysis showed that the peroxides, afforded different gel contents, and especially 0.5 wt% peroxide, produced both an extremely high molar mass, and a cross linked structure, not perhaps well suited for e.g. further use in a blending step. The thermal behavior was somewhat unexpected as the materials prepared with 0.5 wt% peroxide showed the highest ability for crystallization and cold crystallization, despite substantial cross linking. The peroxide-modified PLLA, i.e. PLLA melt extruded with 0.3 wt% of TBPB and LOL1 and 0.5 wt% BPO was added to linear PLLA in ratios of 5, 15 and 30 wt%. All blends showed increased zero shear viscosity, elastic nature (storage modulus) and shear sensitivity. All blends remained amorphous, though the ability of annealing was improved slightly. Extrusion coating on paperboard was conducted with PLLA, and peroxide-modified PLLA blends (90:10). All blends were processable, but only PLLA with 0.3 wt% of LOL1 afforded a smooth high quality surface with improved line speed. Adhesion levels between fiber and plastic, as well as heat seal performance were marginally reduced compared with pure 3051D. The water vapor transmission measurements (WVTR) of the blends containing LOL1 showed acceptable levels, only slightly lower than for comparable PLLA 3051D. A series of four-arm star-shaped poly-L-lactide (sPLLA) with different branch length was synthesized by ring opening polymerization (ROP) of L-lactide using pentaerythritol as initiator and stannous octoate as catalyst. The star-shaped polymers were further blended with its linear resin and studied for their melt flow and thermal properties. Blends containing 30 wt% of sPLLA with low molecular weight (30 wt%; Mwtotal: 2500 g mol-1 and 15000 g mol-1) showed lower zero shear viscosity and significantly increased shear thinning, while at the same time slightly increased crystallization of the blend. However, the amount of crystallization increased significantly with the higher molecular weight sPLLA, therefore the star-shaped structure may play a role as nucleating agent. PLLA-polyethylene glycol–PLLA triblock copolymers (PEGLA) with different PLLA block length were synthesized and their applicability as blends with linear PLLA (3051D NatureWorks) was investigated with the intention of improving heat-seal and adhesion properties of extrusion-coated paperboard. PLLA-PEG-PLLA was obtained by ring opening polymerization (ROP) of L-lactide using PEG (molecular weight 6000 g mol-1) as an initiator, and stannous octoate as catalyst. The structures of the PEGLAs were characterized by proton nuclear magnetic resonance spectroscopy (1H-NMR). The melt flow and thermal properties of all PEGLAs and their blends were evaluated using dynamic rheology, and differential scanning calorimeter (DSC). All blends containing 30 wt% of PEGLAs showed slightly higher zero shear viscosity, higher shear thinning and increased melt elasticity (based on tan delta). Nevertheless, no significant changes in thermal properties were distinguished. High molecular weight PEGLAs were used in extrusion coating line with 3051D without problems.

Modeling and Synthesis of Tracking Control for the Belt Drive System

Usingof belt for high precision applications has become appropriate because of the rapid development in motor and drive technology as well as the implementation of timing belts in servo systems. Belt drive systems provide highspeed and acceleration, accurate and repeatable motion with high efficiency, long stroke lengths and low cost. Modeling of a linear belt-drive system and designing its position control are examined in this work. Friction phenomena and position dependent elasticity of the belt are analyzed. Computer simulated results show that the developed model is adequate. The PID control for accurate tracking control and accurate position control is designed and applied to the real test setup. Both the simulation and the experimental results demonstrate that the designed controller meets the specified performance specifications.

Influence of stationary phase and eluent properties on chromatographic separation of carbohydrates

In this thesis, the sorption and elastic properties of the cation-exchange resins were studied to explain the liquid chromatographic separation of carbohydrates. Na+, Ca2+ and La3+ form strong poly(styrene-co-divinylbenzene) (SCE) as well as Na+ and Ca2+ form weak acrylic (WCE) cation-exchange resins at different cross-link densities were treated within this work. The focus was on the effects of water-alcohol mixtures, mostly aqueous ethanol, and that of the carbohydrates. The carbohydrates examined were rhamnose, xylose, glucose, fructose, arabinose, sucrose, xylitol and sorbitol. In addition to linear chromatographic conditions, non-linear conditions more typical for industrial applications were studied. Both experimental and modeling aspectswere covered. The aqueous alcohol sorption on the cation-exchangers were experimentally determined and theoretically calculated. The sorption model includes elastic parameters, which were obtained from sorption data combined with elasticity measurements. As hydrophilic materials cation-exchangers are water selective and shrink when an organic solvent is added. At a certain deswelling degree the elastic resins go through glass transition and become as glass-like material. Theincreasing cross-link level and the valence of the counterion decrease the sorption of solvent components in the water-rich solutions. The cross-linkage or thecounterions have less effect on the water selectivity than the resin type or the used alcohol. The amount of water sorbed is higher in the WCE resin and, moreover, the WCE resin is more water selective than the corresponding SCE resin. Theincreased aliphatic part of lower alcohols tend to increase the water selectivity, i.e. the resins are more water selective in 2-propanol than in ethanol solutions. Both the sorption behavior of carbohydrates and the sorption differences between carbohydrates are considerably affected by the eluent composition and theresin characteristics. The carbohydrate sorption was experimentally examined and modeled. In all cases, sorption and moreover the separation of carbohydrates are dominated by three phenomena: partition, ligand exchange and size exclusion. The sorption of hydrophilic carbohydrates increases when alcohol is added into the eluent or when carbohydrate is able to form coordination complexes with the counterions, especially with multivalent counterions. Decreasing polarity of the eluent enhances the complex stability. Size exclusion effect is more prominent when the resin becomes tighter or carbohydrate size increases. On the other hand,the elution volumes between different sized carbohydrates decreases with the decreasing polarity of the eluent. The chromatographic separation of carbohydrateswas modeled, using rhamnose and xylose as target molecules. The thermodynamic sorption model was successfully implemented in the rate-based column model. The experimental chromatographic data were fitted by using only one adjustable parameter. In addition to the fitted data also simulated data were generated and utilized in explaining the effect of the eluent composition and of the resin characteristics on the carbohydrate separation.

Estimating the Price and Demand Development of Some Paperboard Grades

Työn tavoitteena oli luoda malli, jonka avulla voitaisiin ennustaa kartonkituotteiden hinnan ja kysynnän kehitystä. Työssä kerättiin aluksi tietoa kartonkimarkkinoista haastattelujen ja tilastotietojen avulla. Näiden perusteella luotiin malli, joka kuvaa kartonkimarkkinoiden ja -teollisuuden rakennetta. Erityisesti kiinnitettiin huomiota asiakkaiden tilauskäyttäytymiseen, tuotannonohjaukseen sekä hinnan muodostumiseen. Työssä käytettiin ennustemenetelmänä systeemidynamiikkaa. Oleellista oli löytää systeemissä esiintyvät tärkeimmät takaisinkytkennät ja systeemin avainmuuttujat. Kun kaikille mallin muuttujille oli määritetty yhtälöt ja vakioille annettu arvot, voitiin mallia simuloida, ja saada ennusteet halutuille muuttujille. Työssä esitettiin ennusteet kartonkimarkkinoiden tärkeimmille parametreille kahden vuoden päähän. Työssä tarkasteltiin myös, miten muutokset mallin käyttäytymistä säätelevissä muuttujissa vaikuttavat tuloksiin. Jotta pystyttäisiin paremmin selvittämään koko kartonkiteollisuuden dynamiikka, lisätutkimusta tarvittaisiin vielä eri kartonkilajien substituutiomahdollisuuksista ja hintojen riippuvuuksista. Mielenkiintoista olisi myös tietää, miten tuotannon käyttöasteiden muutokset ja hinnan vaihtelut vaikuttavat liiketoiminnan kannattavuuteen valmistajien näkökulmasta.

Improving the Potentials of Logistics Processes: Identification and Solutions

The importance of logistics for companies is a well known and justified issue. Today, enterprises are developing their logistics processes in order to match their products and services to the requirements of the most important customers. Therefore there is a need for developing analysing tools for logistics and especially for analysing the significance of various customer service elements. The aim of this paper is to propose analytic tools for supporting strategic level logistics decision making by emphasizing service level elements on two levels: (1) to introduce and propose approaches to categorize the developing efforts of logistics and (2) to introduce and/or propose approaches for solving some customer service related strategic level logistics problems. This study consists of two parts. In the first part an overview of the work is presented, and the second part comprises eight research papers on the topic of the study. The overview includes an introduction, where strategic and tactical level logistics problems are discussed and the relation of logistics to marketing and customer service issues is presented. In the first part of the study the objectives, the structure, the research strategy and the contribution of the research are described, and the challenges for future research are discussed. In the second part the three first papers deal with the identification of objectives for logistics while the remaining five papaers concentrate on solving customer service related strategic level logistics problems.

Exposure to Tobacco Smoke and Markers of Subclinical Atherosclerosis in Children and Adolescents. The STRIP Study.

Background: Measurement of serum cotinine, a major metabolite of nicotine, provides a valid marker for quantifying exposure to tobacco smoke. Exposure to tobacco smoke causes vascular damage by multiple mechanisms, and it has been acknowledged as a risk factor for atherosclerosis. Multifactorial atherosclerosis begins in childhood, but the relationship between exposure to tobacco smoke and arterial changes related to early atherosclerosis have not been studied in children. Aims: The aim of the present study was to evaluate exposure to tobacco smoke with a biomarker, serum cotinine concentration, and its associations with markers of subclinical atherosclerosis and lipid profile in school-aged children and adolescents. Subjects and Methods: Serum cotinine concentration was measured using a gas chromatographic method annually between the ages 8 and 13 years in 538-625 children participating since infancy in a randomized, prospective atherosclerosis prevention trial STRIP (Special Turku coronary Risk factor Intervention Project). Conventional atherosclerosis risk factors were measured repeatedly. Vascular ultrasound studies were performed among 402 healthy 11-year-old children and among 494 adolescents aged 13 years. Results: According to serum cotinine measurements, a notable number of the school aged children and adolescents were exposed to tobacco smoke, but the exposure levels were only moderate. Exposure to tobacco smoke was associated with decreased endothelial function as measured with flow-mediated dilation of the brachial artery, decreased elasticity of the aorta, and increased carotid and aortic intima-media thickness. Longitudinal exposure to tobacco smoke was also related with increased apolipoprotein B and triglyceride levels in 13-year-old adolescents, whose body mass index and nutrient intakes did not differ. Conclusions: These findings suggest that exposure to tobacco smoke in childhood may play a significant role in the development of early atherosclerosis. Key Words: arterial elasticity, atherosclerosis, children, cotinine, endothelial function, environmental tobacco smoke, intima-media thickness, risk factors, ultrasound

On the Application of Beam on Elastic Foundation Theory to the Analysis of Stiffened Plate Strips

The main objective of this thesis is to show that plate strips subjected to transverse line loads can be analysed by using the beam on elastic foundation (BEF) approach. It is shown that the elastic behaviour of both the centre line section of a semi infinite plate supported along two edges, and the free edge of a cantilever plate strip can be accurately predicted by calculations based on the two parameter BEF theory. The transverse bending stiffness of the plate strip forms the foundation. The foundation modulus is shown, mathematically and physically, to be the zero order term of the fourth order differential equation governing the behaviour of BEF, whereas the torsion rigidity of the plate acts like pre tension in the second order term. Direct equivalence is obtained for harmonic line loading by comparing the differential equations of Levy's method (a simply supported plate) with the BEF method. By equating the second and zero order terms of the semi infinite BEF model for each harmonic component, two parameters are obtained for a simply supported plate of width B: the characteristic length, 1/ λ, and the normalized sum, n, being the effect of axial loading and stiffening resulting from the torsion stiffness, nlin. This procedure gives the following result for the first mode when a uniaxial stress field was assumed (ν = 0): 1/λ = √2B/π and nlin = 1. For constant line loading, which is the superimposition of harmonic components, slightly differing foundation parameters are obtained when the maximum deflection and bending moment values of the theoretical plate, with v = 0, and BEF analysis solutions are equated: 1 /λ= 1.47B/π and nlin. = 0.59 for a simply supported plate; and 1/λ = 0.99B/π and nlin = 0.25 for a fixed plate. The BEF parameters of the plate strip with a free edge are determined based solely on finite element analysis (FEA) results: 1/λ = 1.29B/π and nlin. = 0.65, where B is the double width of the cantilever plate strip. The stress biaxial, v > 0, is shown not to affect the values of the BEF parameters significantly the result of the geometric nonlinearity caused by in plane, axial and biaxial loading is studied theoretically by comparing the differential equations of Levy's method with the BEF approach. The BEF model is generalised to take into account the elastic rotation stiffness of the longitudinal edges. Finally, formulae are presented that take into account the effect of Poisson's ratio, and geometric non linearity, on bending behaviour resulting from axial and transverse inplane loading. It is also shown that the BEF parameters of the semi infinite model are valid for linear elastic analysis of a plate strip of finite length. The BEF model was verified by applying it to the analysis of bending stresses caused by misalignments in a laboratory test panel. In summary, it can be concluded that the advantages of the BEF theory are that it is a simple tool, and that it is accurate enough for specific stress analysis of semi infinite and finite plate bending problems.