Overloading of the back can cause instability such that buttressing the instability is a primary objective of many of the leading edge therapeutic approaches. However, a challenge lies in determining the location of the instability or the least stable vertebral joint. A mathematical analysis, based on a commonly used approach in engineering for determining structural stability, has been developed for the lumbar spine. The purpose of this investigation was to determine the feasibility of a method for mathematically locating potential areas of instability within a computer-based model of the lumbar spine. To validate this method, the eigenvector from the stability analysis was compared to the output from a geometric equation that approximated individual vertebral joint rotational stiffness with the idea that the entry in the eigenvector with the largest absolute value would correspond to the vertebral joint and axis with the lowest stiffness. Validation of the eigenvector was not possible due to computational similarities between the stability analysis and the geometric rotational stiffness method. However, it has been previously demonstrated that the eigenvector can be useful for locating instability, and thus warrants future study. Determining the least stable vertebral joint and axis can be used to guide proper motor pattern training as a clinical intervention. It was also shown in this investigation that an even distribution of fascicle force and stiffness generated stability. This supports the idea that well-coordinated efforts of muscle activation are beneficial for improving stability of the lumbar spine.

Overloading of the back can cause instability such that buttressing the instability is a primary objective of many of the leading edge therapeutic approaches. However, a challenge lies in determining the location of the instability or the least stable vertebral joint. A mathematical analysis, based on a commonly used approach in engineering for determining structural stability, has been developed for the lumbar spine. The purpose of this investigation was to determine the feasibility of a method for mathematically locating potential areas of instability within a computer-based model of the lumbar spine. To validate this method, the eigenvector from the stability analysis was compared to the output from a geometric equation that approximated individual vertebral joint rotational stiffness with the idea that the entry in the eigenvector with the largest absolute value would correspond to the vertebral joint and axis with the lowest stiffness. Validation of the eigenvector was not possible due to computational similarities between the stability analysis and the geometric rotational stiffness method. However, it has been previously demonstrated that the eigenvector can be useful for locating instability, and thus warrants future study. Determining the least stable vertebral joint and axis can be used to guide proper motor pattern training as a clinical intervention. It was also shown in this investigation that an even distribution of fascicle force and stiffness generated stability. This supports the idea that well-coordinated efforts of muscle activation are beneficial for improving stability of the lumbar spine.

Objective: To explore currently accepted return-to-play tests and a jumps protocol in a single subject design following anterior cruciate ligament reconstruction. Background: The subject sustained 2 ruptures of the ACL in the left knee in a 12-month period. Both events were noncontact injuries occurring on the landing phase of a jump. A physical exam and magnetic resonance imaging were performed for both injuries by multiple orthopedic surgeons in the United States (1st rupture) and in Brazil (1st & 2nd rupture) to diagnose the injury. Treatment: Following the initial injury the subject attended 2 rehabilitation sessions per week for 16 weeks with an outpatient physical therapy clinic in the US. After the second surgery the athlete returned to the US and received treatment 6 days per week for 8 months with the University sports medicine staff. Return-to-play testing: Along with the hop test and an isokinetic knee flexion/extension test as a general protocol to determine the return-to-play, a jumps protocol to assess bilateral asymmetry and performance was also used. The symmetry index score (SI) was used to evaluate the magnitude of asymmetry. Conclusions: Following ACL reconstruction, objective data from the Hop Test, Isokinetic Test and Jumps Protocol can assist the healthcare provider in determining return-to-play status.

Many everyday materials, broadly classified as ``particulate media'', are at the heart of many industries and natural phenomena. Examples range from the storage and transport of bulk foods and aggregates such as grains and coal; the processing of pharmaceutical pills and the grinding coffee beans; to the mitigation and cost control of life-threatening events like landslides, earthquakes, and silo failures. The common theme connecting all these phenomena is the mechanical stability of the granular material that arises from interactions at the microscopic level of the grain scale, and how this influences collective properties at the bulk, macroscopic scale. In this dissertation, we present an extensive study of the mechanical properties of a physics-based model of granular particle systems in two dimensions using computer simulations. Specifically, we study the dynamics of an intruder particle that is driven through a dense, disordered packing of particles. This practical technique has the benefit of being amenable to experimental application which we expect will motivate future studies in the area. We find the `microrheology' of the intruder can be traced back to the properties of underlying, original, unperturbed packing, thereby providing a method to characterize the mechanical properties of the material that may otherwise be unavailable. To perform this study, we initially created mechanically stable granular packings of bidisperse discs, for several orders of magnitude of particle friction coefficient $\mu$, over a range in packing densities, or packing fractions $\phi$, in the vicinity of the critical packing fraction $\phi_c$, the density below which the packing is no longer stable. This range in $\phi$ translates to a range in packing pressures $P$, spanning several orders of magnitude down to the $P\rightarrow 0$ limit. For each packing, we apply a driving force to the intruder probe particle and find the critical force $F_{c}$, the minimum force required to induce motion of the probe as it is dragged through the system. We find that $F_{c}(\mu)$ for the different friction packings, scales with the packing pressure $P$ as a power-law according to: $F_{c}(\mu) - F_{c}^{o}(\mu) \sim P^{\beta(\mu)}$. The power-law exponent, $\beta(\mu)$ becomes friction dependent, but approaches the value, $\beta(\mu\to0) = 1.0 \pm 0.1$ in the zero-friction limit. $F_{c}^{o}(\mu)$ is the value of $F_{c}$ in the limit $P \to 0$, that similarly depends on the friction coefficient as, $F_{c}^{o}(\mu) \to 0$, when $\mu \to \infty$. We use this property of $F_{c}^{o}(\mu)$ to characterize the mechanical properties of different frictional packings. Another focus of this study is the `microrheology' of the intruder through force-velocity dependencies in $\mu=0$ systems at different $P$. For this case, the intruder is driven through the packing at a steady-state velocity $$, for driving forces above the critical force $F_D > F_c$. We introduce a scaling function that collapses the force-velocity curves onto a single master curve. This power law scaling of the collapsed curve as $P\rightarrow 0$ is reminiscent of a continuous phase transition, reinforcing the notion that the mechanical state of the system exhibits critical-like features. Furthermore, we also find an alternative scaling collapse of the form: $- \sim (F_{D} - F_{c})^{\alpha}$, where $$ represents a constant velocity term in the limit of small excess forcing, and the critical force $F_{c}$ now appears as fitting parameter that matches our explicit calculations. Thence, we are able to extract $F_{c}$ from a driven probe without a-priori having any knowledge about the state of the system. To further investigate the transition of the system through the different intruder force perturbations, we implemented a coarse graining (CG) technique that transforms our discrete particle interaction force information into continuous stress fields. Through this methodology, we are able to calculate the kinetic and contact stresses as the intruder is driven through the system. We are able to qualify and quantify the directional and distance dependencies of the stress response of the packing due to the driven probe via radial and azimuthal stress calculations. In particular, we find how the stress response not only captures the wake region behind the driven intruder, but also how the stress decays in the forward direction of the intruder, which follows universal behavior.

The GMT-Consortium Large Earth Finder (G-CLEF) is an echelle spectrograph with precision radial velocity (PRV) capability that will be a first light instrument for the Giant Magellan Telescope (GMT). G-CLEF has a PRV precision goal of 40 cm/sec (10 cm/s for multiple measurements) to enable detection of Earth-like exoplanets in the habitable zones of sun-like stars'. This precision is a primary driver of G-CLEF's structural design. Extreme stability is necessary to minimize image motions at the CCD detectors. Minute changes in temperature, pressure, and acceleration environments cause structural deformations, inducing image motions which degrade PRV precision. The instrument's structural design will ensure that the PRV goal is achieved under the environments G-CLEF will be subjected to as installed on the GMT azimuth platform, including: Millikelvin (0.001 K) thermal soaks and gradients 10 millibar changes in ambient pressure Changes in acceleration due to instrument tip/tilt and telescope slewing Carbon fiber/cyanate composite was selected for the optical bench structure in order to meet performance goals. Low coefficient of thermal expansion (C 1E) and high stiffness-to-weight are key features of the composite optical bench design. Manufacturability and serviceability of the instrument are also drivers of the design. In this paper, we discuss analyses leading to technical choices made to minimize G-CLEF's sensitivity to changing environments. Finite element analysis (FEA) and image motion sensitivity studies were conducted to determine PRV performance under operational environments. We discuss the design of the optical bench structure to optimize stiffness to -weight and minimize deformations due to inertial and pressure effects. We also discuss quasi-kinematic mounting of optical elements and assemblies, and optimization of these to ensure minimal image motion under thermal, pressure, and inertial loads expected during PRV observations.

While traumatic aortic injury (TAI) and rupture (TAR) continue to be a major cause of morbidity and mortality in motor vehicle accidents, its underlying mechanisms are still not well understood. Different mechanisms such as increase in intraluminal pressure, relative movement of aorta with respect to mediastinal structures, direct impact to bony structures have been proposed as contributing factors to TAI/TAR. At the tissue level, TAI is assumed to be the result of a complex state of supra-physiological, high rate, and multi-axial loading. A major step to gain insight into the mechanisms of TAI is a characterization of the aortic tissue mechanical and failure properties under loading conditions that resemble traumatic events. While the mechanical behavior of arteries in physiological conditions have been investigated by many researchers, this dissertation was motivated by the scarcity of reported data on supra-physiological and high rate loading conditions of aorta. Material properties of the porcine aortic tissue were characterized and a Fung-type constitutive model was developed based on ex-vivo inflation-extension of aortic segments with intraluminal pressures covering a range from physiological to supra-physiological (70 kPa). The convexity of the material constitutive model was preserved to ensure numerical stability. The increase in ë_è from physiological pressure (13 kPa) to 70 kPa was 13% at the outer wall and 22% at the inner wall while in this pressure range, the longitudinal stretch ratio ë_z increased 20%. A significant nonlinearity in the material behavior was observed as in the same pressure range, the circumferential and longitudinal Cauchy stresses at the inner wall were increased 16 and 18 times respectively. The effect of strain-rate on the mechanical behavior and failure properties of the tissue was characterized using uniaxial extension experiments in circumferential and longitudinal directions at nominal strain rates of 0.3, 3, 30 and 400 s-1. Two distinct states of failure initiation (FI) and ultimate tensile strength (UTS) were identified at both directions. Explicit direct relationships were derived between FI and UTS stresses and strain rate. On the other hand, FI and UTS strains were rate independent and therefore strain was proposed as the main mechanism of failure. On average, engineering strain at FI was 0.85±0.03 for circumferential direction and 0.58±0.02 for longitudinal direction. The engineering strain at UTS was not different between the two directions and reached 0.89±0.03 on average. Tissue pre-failure linear moduli showed an average of 60% increase over the range of strain rates. Using the developed material model, mechanical stability of aorta was studied by varying the loading parameters for two boundary conditions, namely pinned-pinned boundary condition (PPBC) and clamped-clamped boundary condition (CCBC). The critical pressure for CCBC was three times higher than PPBC. It was shown that the relatively free segment of aorta at the isthmus region may become unstable before reaching the peak intraluminal pressures that occur during a trauma. The mechanical instability mechanism was proposed as a contributing factor to TAI, where elevations in tissue stresses and strains due to buckling may increase the risk of injury. / Mechanical Engineering

L’impact de la perte racinaire sur l’ancrage d’Eugenia grandis Wight et de Pinus pinaster Ait ainsi que la capacité de trois différentes espèces d’arbres (Fagus sylvatica L, Abies alba Mill et Picea abies L) à résister au déracinement ou à la rupture sous l’effet d’un éboulement en pente raide ont été étudiés au moyen de tests de treuillage et le creusement de tranchées (tree winching and trenching tests) et les résultats ont été corrélés avec la structure du système racinaire. Aucune différence n’a été observée entre TMcrit et la distance de creusement de tranchée sur E. grandis. Les résultats obtenus ont révélé qu’en termes de rigidité rotationnelle de l’ancrage des arbres (TARS) et de TMcrit, la stabilité mécanique n’a pas été significativement affectée par le creusement de tranchées en sol argilo-sableux en raison de la profondeur d’enracinement des racines pivotantes (« sinker roots ») qui se sont formées près du tronc et en raison de la taille de la plaque racinaire qui augmente la rigidité et constitue donc une composante importante de l’ancrage d’E. grandis. Toutefois, pour P. pinaster, la stabilité mécanique a été significativement affectée par le creusement de tranchée, probablement en raison de la coupe des racines latérales qui a considérablement altéré la taille de la plaque racinaire et, en conséquence, la somme des surfaces en section (CSA= cross-sectional area) de la plupart des racines latérales et d’un certain nombre de racines traçantes, ce qui constitue une des composantes essentielles de l’ancrage d’arbres P. pinaster adultes plantés en podzol sableux. Pour les espèces forestières de protection plantées en pente raide, les résultats obtenus ont révélé que les espèces d’arbre présentant un système racinaire profondément enfoui et fortement ramifié avec une grande proportion de racines obliques (par exemple, le hêtre et le sapin pectiné) seront mieux ancrées et auront une meilleure fonction anti-éboulement que epicéa commun qui possède un système racinaire superficiel et peu profond. Les connaissances apportées par cette étude peuvent être utilisées pour la sélection et la production d’arbres qui résistent aux risques naturels ainsi qu’aux risques provoqués par l’Homme. / The impact of root loss on tree anchorage on Eugenia grandis Wight and Pinus pinaster Ait and the ability of three different trees species (Fagus sylvatica L, Abies alba Mill and Picea abies L) to resist uprooting or breakage due to rockfall on steep slopes were investigated using tree winching and trenching tests and results correlated to root system architecture. No differences were found between TMcrit and trenching distance in E. grandis trees. The results showed that in terms of Tree Anchorage Rotational Stiffness (TARS) and TMcrit, mechanical stability was not significantly affected by trenching on sandy clay soil, due to rooting depth of the sinkers which occurred close to the trunk and root plate size which provide greater stiffness thus play a major component of anchorage in E. grandis. However, in P. pinaster, mechanical stability was significantly affected by trenching, possibly due to severing of lateral roots greatly altered the size of the root plate and subsequently root CSA of major lateral roots and number of sinkers, which are crucial components in anchorage of mature P. pinaster trees grown on sandy podzol soil. For protection forest species grown on steep slopes, the results showed that tree species with deep, highly branched root systems with a higher proportion of oblique roots (e.g. European beech and Silver fir) will be better anchored and provide better protective function against rockfall as compared to Norway spruce that possessed a superficial plate-like root system. The knowledge gained from this study can be utilized in selection and production of trees which are resistant to both man made or natural hazards.

Le but de ce projet est d'étudier les propriétés mécaniques et électriques d'une monocouche de phospholipide supportée sur silicium en vue de son utilisation comme diélectrique de grille dans un biocapteur à transistor à effet de champ. Ces monocouches de 3nm sont formées par fusion de vésicules. Les lipides utilisés possèdent des triples liaisons dans leurs chaînes alkyles permettant une polymérisation radicalaire. Nous montrons que la polymérisation stabilise la monocouche à l'air et améliore sa résistance mécanique. Les mesures ont été réalisées par mesure de force par AFM, la force de ‘rupture' de la monocouche par la pointe AFM augmentant après polymérisation. L'étude de la force en fonction de la vitesse d'approche de la pointe nous a permis de montrer que la rupture de la couche est un phénomène activé qui dépend de la vitesse. Nous avons pu ainsi déterminer pour chacune des deux surfaces, polymérisées ou pas, l'énergie d'activation de rupture de la couche du système couche/pointe et une estimation du module de Young. Ces grandeurs qui augmentent après polymérisation montrent une amélioration des propriétés mécaniques. Nous nous intéressons également aux propriétés électriques de ces monocouches. Nous avons réalisé des mesures Courant-Tension I(V) à partir desquelles nous avons pu déterminer la résistance de la couche, les densités de courant de fuite et la tension de claquage. Les résultats obtenus démontrent que ces monocouches ultrafines possèdent de très bonnes propriétés isolantes. De plus nous avons révélé la propriété très intéressante d'auto-régénération de la monocouche isolante après claquage à l'air, à température ambiante en quelques minutes seulement. / The main goal of this project was to study the electrical and mechanical properties of a solid supported lipid monolayer in order to use it as a dielectric insulator in a Field Effect Transistor based biosensor. The 3 nm lipid monolayer supported on silicon was obtained by the vesicle fusion method. DC8,9PC phospholipids containing acetylenic moiesties were selected. The lipid monolayer was stabilized on the substrate by two-dimensional polymerization in the plane of the layer. We demonstrate that this polymerization stabilizes the monolayer in air. Force measurements realized by AFM on both polymerized and non-polymerized layers demonstrated a net improvement of the nano-mechanical resistance of the layer after polymerization with a net increase of the force required to rupture the layer. Measurements realized at different loading rates have evidenced the fact that the monolayer rupture is an activated process that depends on the loading rate. For both types of layers, we have determined the intrinsic rupture activation energy of the tip–layer system as well as their Young modulus. These two physical quantities increase after polymerization and demonstrate a net improvement of the mechanical properties of the polymerized monolayer. The electrical properties of these layers have also been investigated. Current-Voltage measurements were done on the monolayer in the air at room temperature. The differential resistance, the leakage current, the breakdown voltages were measured and showed that the polymerized monolayer behaves as a good electric insulator. In addition, we demonstrated a very interesting property of autonomic self-healing after electrical breakdown.

Abstract Refining grain size is known to enhance mechanical properties also in austenitic stainless steels. To better understand the background of these properties, various reversion-treated structures were created in AISI 301LN (18Cr-7Ni-0.15N) steel and the microstructural features affecting flow behaviour and strength under monotonic and cyclic straining were investigated. Fully and partially reversed microstructures were produced using prior cold rolling thickness reductions in the range of 32–63% and both resistant and induction heating. Some selected reversed structures were also strengthening rolled to 20% reduction. The resultant microstructures were characterised using different research equipment and methods and their mechanical properties determined by microhardness, tensile and fatigue tests. The main interest was focused on the microstructural features of low-temperature reversed structures and the stability of austenite in them. Effective grain refinement was achieved after 56–63% rolling reduction. Depending on the reduction and annealing conditions, the reversed structures consisted of various amounts of submicron- and medium-sized austenite grains and retained phases. All the reversed structures showed non-homogenous, often bimodal grain size distribution. It was demonstrated that the stability of austenite was much reduced after annealing at temperatures ≤ 850 °C, which was attributed to precipitation occurring at these low temperatures. Fine grain size itself promoted higher stability, but the coarsest retained austenite was stable due to its special orientation. Therefore, medium-sized grains of 3–10 μm, formed mainly from slightly deformed strain-induced martensite, appeared to be most unstable, the fraction being highest after the lowest reduction. The yield and fatigue strengths of the low-temperature reversion-treated structures were significantly higher than those of commercial 301LN. Fatigue strength corresponded to that of a 20% cold-rolled sheet. Strength was highly enhanced even after the lowest cold rolling reduction of 32%, for the lower strength of the coarser reversed grain structure was balanced by the higher fractions of strong retained austenite and martensite phases. / Tiivistelmä Austeniitin raekoon hienontamisen tiedetään parantavan merkittävästi ruostumattomien terästen mekaanisia ominaisuuksia. Hienorakeisten reversiorakenteiden muokkauslujittumiseen ja lujuuteen vaikuttavien tekijöiden yksityiskohtaista tutkimista varten tuotettiin AISI 301LN (18Cr-7Ni-0.15N) teräkseen 32–63% kylmävalssausreduktiota ja sen jälkeistä vastus- tai induktiokuumennusta käyttäen täysin sekä osittain reversoituneita mikrorakenteita. Lisäksi osa reversiorakenteista vielä lujitusvalssattiin 10–20% reduktioon saakka. Mikrorakenteiden karakterisointiin käytettiin monipuolisesti eri tutkimuslaitteita ja menetelmiä sekä mekaanisten ominaisuuksien määrittämiseen mikrokovuus-, veto- ja väsytyskokeita. Ensisijaisena tarkoituksena oli tutkia yksityiskohtaisesti matalassa reversiolämpötilassa muodostuneita mikrorakenteita sekä hienorakeisen austeniitin stabiilisuutta monotonisessa ja syklisessä kuormituksessa. Reversiokäsitellyissä rakenteissa esiintyi vaihteleva määrä hienoja (raekoko alle 1 μm) ja keskisuuria (raekoko 3–10 μm) austeniittirakeita mahdollisien karkeiden jäännösfaasien lisäksi kylmämuokkaustilasta ja lämpökäsittely-parametreista riippuen. Suuri muokkausaste edesauttoi selvästi raerakenteen hienontumista, mutta kaikki rakenteet olivat raekokojakaumaltaan epähomogeenisia. Työssä demonstroitiin kuinka alle 900 °C:ssa hehkutetut reversiorakenteet ovat huomattavasti epästabiilimpia kuin korkeammassa syntyneet verrokkirakenteet, minkä osoitettiin johtuvan krominitridien erkautumisesta. Raekoon hienontuminen itsessään suosii suurempaa stabiilisuutta, mutta karkeimmat muokkautuneet jäännösausteniittirakeet olivat stabiileja niiden orientaation takia. Täten keskisuuret rakeet olivat epästabiileimpia. Keskisuurien rakeiden osoitettiin syntyvän pääasiassa vähän muokkaantuneesta martensiitista, ja niitä esiintyi eniten 32% reduktiolla valssatuissa rakenteissa. Matalassa lämpötilassa syntyneiden reversiorakenteiden lujuus oli merkittävästi korkeampi kuin kaupallisen teräksen. Väsymislujuus vastasi noin 20% lujitettuvalssattua tuotetta. Hehkutusta edeltänyt kylmämuokkausaste vaikutti vain vähän reversiorakenteiden lujuuteen, sillä vaikka pienin muokkausaste johti karkeimpaan keskimääräiseen raekokoon, siinä lujuutta lisäsivät kovat jäännösfaasit.

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