Introduction: Concussions in American Football are of a major concern due to highly reported injury rates. The importance of properly designed helmets have shown effect in reducing the risk of injuries, such as skull fractures. However, they are not as effective in reducing the risk of concussion. Helmets designed are required to pass standards and regulations for them to be allowed within the football leagues. The current test methods evaluate linear impacts, but lack evaluations of oblique impacts which are believed to cause concussions. Several test methods have been suggested, but little is known regarding how they compare. Objective: The purpose of this study was to compare three different test methods for evaluating helmet performance, utilizing finite element simulation. Three different helmet models were used for comparison, evaluating head kinematics. The helmet models were additionally ranked from best to worst based on their performances. Method: Three test methods, linear impactor, 45° angled linear impactor, and a drop test onto a 45° angled plate were simulated with three different open source helmet models. Simulations were conducted with one impact velocity at three impact locations. The influence of the interaction between helmet and head was also evaluated by altering the friction coefficient. Results: The test methods showed different results depending on helmet models, impact locations, and kinematics evaluated. Similarly, rankings of the helmets were varied based on methods and impact location. Little difference was observed after lowering the friction coefficient in majority of cases. The linear and angular acceleration for the drop side impact were mostly affected. Conclusion: Further evaluations of the test methods and comparison to real impacts is required to evaluate what method resembles head impacts best. Lowered friction coefficient had an effect for the drop impacts, but minor effect for other test methods

This dissertation studies the micromechanical behavior of high-performance carbon fiber-reinforced polymer (CFRP) composites through high-fidelity numerical simulations. We investigated multiple transverse cracking of cross-ply CFRP laminates on the microstructure level through simulating large numerical models. Such an investigation demands an efficient numerical framework along with significant computational power. Hence, an efficient numerical framework was developed for simulating 2-D representations of CFRP composites' microstructure. The framework utilizes a nonlinear interface-enriched generalized finite element method (IGFEM) scheme which significantly decreases the computational cost. The framework was also designed to be fast and memory-efficient to enable simulating large numerical models. By utilizing the developed framework, the impacts of a few parameters on the evolution of transverse crack density in cross-ply CFRP laminates were studied. The considered parameters were characteristics of fiber/matrix cohesive interfaces, matrix stiffness, $0^{circ}$~plies longitudinal stiffness. We also developed a micromechanical framework for efficient and accurate simulation of damage propagation and failure in aligned discontinuous carbon fiber-reinforced composites under loading along the fibers' direction. The framework was validated based on the experimental results of a recently developed 3-D printed aligned discontinuous carbon fiber-reinforced composite as the composite of interest. The framework was then utilized to investigate the impacts of a few parameters of the constitutive equations on the strength and failure pattern of the composites of interest. This dissertation also contributes towards improving the computational efficiency of CFRP composites' simulations. We exhaustively investigated the cause of a convergence difficulty in finite element analyses caused by cohesive zone models (CZMs) which are commonly used to simulate fiber/matrix interfaces in CFRP composites. The CZMs' convergence difficulty significantly increases the computational burden. For the first time, we explained the root of the convergence difficulty and proposed a simple technique to overcome the convergence issue. The proposed technique outperformed the existing methods in terms of accuracy and computational cost. We also proposed a deep learning framework for predicting full-field distributions of mechanical responses in 2-D representations of CFRP composites based on the geometry of the microstructures. The deep learning framework can be used as a surrogate to the expensive and time-consuming finite element simulations. The proposed framework was able to accurately predict the stress distribution at an early stage of damage initiation and the failure pattern in representations of CFRP composites microstructure under transverse tension. / Doctor of Philosophy / Carbon fiber-reinforced polymers (CFRPs) are materials that are lightweight with excellent mechanical performance. Hence, these materials have a wide range of applications in various industries such as aerospace, automotive, and civil engineering. The extensive use of CFRPs has made them an active area of research and there have been great efforts to better understand and improve the mechanical properties of these materials over the past few decades. Therefore, CFRP materials and their manufacturing process are constantly changing and new types of CFRPs are kept being developed. As a result, the mechanical behavior of CFRPs needs to be exhaustively investigated to provide guidelines for their optimal engineering design and indicate the future direction of manufacturing improvements. This dissertation studied the mechanical behavior of CFRPs through high-fidelity simulations. Two types of CFRP were investigated: laminates and 3-D printed CFRPs. Laminates are the most popular type of CFRPs which are commonly used to construct the body of aircraft. 3-D printed CFRPs are new types of material that are gaining traction due to their ability to construct structures with complex geometries at high speed and without direct human supervision. The numerical simulations of CFRPs under mechanical loading are time-consuming and require significant computational power even when run on a supercomputer. Hence, this dissertation also contributes to improving the computational efficiency of numerical simulations. To decrease the computational cost, we proposed a technique that can significantly speed up the numerical simulations of CFRPs. Moreover, we utilized artificial intelligence to develop a new framework that can be substituted for the expensive and time-consuming conventional numerical simulations to quickly predict specific mechanical responses of CFRPs.

The global stiffness behaviour of modular-based two storey timber structures was studied under prescribed horizontal displacements at the upper corners of the volume modules. To be able to study this behaviour, a numerical finite element model was created in Abaqus. A parametric study was performed in which the geometry and spring stiffness of joints were varied until the enough stiff module was attained for safe transfer of shear forces through the module structure. The FE-model was parameterized to have possibility to vary positions of door and window openings in the volume modules. These openings had influence on the global structural behaviour of the two storey module structure since the side wall with two openings showed less reaction forces at its top corner point A compared to the other wall point B. In addition, the module#3 was assigned with small spring stiffness in x-direction representing friction in the joint between the volume modules. This was done without uplift plates and angle brackets. The findings showed that there was significant slipdeformation between the volume modules and small reaction forces at points A and B. The spring stiffness value in x-direction was varied until large value was obtained which resulted in overall shear deformations of the walls in both volume modules. When the angle bracket and the uplift plates were introduced between the modules when small spring stiffness along the joint between the volume modules was used, the results showed that most of the shear forces were transferred through the angle brackets instead of the fastener joints between the modules. Moreover, the results showed that the reaction forces at the points A and B increased when the angle brackets were assigned in the module. Furthermore, the results also showed that uplift plates used in the model worked well for simulations with low vertical spring stiffness between the modules.

Optimized fiber utilization is crucial to the process efficiency and profitability in paper and board making. The fibers can be developed in a refining process in order to reach a desired quality level. Refining causes a variety of simultaneous structural changes to the fibers such as internal fibrillation, external fibrillation and fines formation that contribute in different ways to improve the sheet consolidation and enforce bonding between fibers. This increases the strength, which is one of the quality parameters of paper. Three grades of refining are studied. Microscopy of the pulps shows that the fines are not a homogeneous fraction. However, in analyzing SEM images of the handsheet surfaces, fibrillar fines and their bundles are observed to form links between neighboring fibers which can reinforce the network and the bond regions. The fiber characterization method by FiberLab only captures trends in changed fines content in the pulps and these are underestimations since the instruments optical resolution is limited in characterizing fibrillar fines. SEM images of the cross sections of the sheets along with thickness measurements show that increased grade of refining causes a densification of the sheets. Tensile tests show that refining results in a significant increase in tensile strength and stiffness but a more modest increase in strain at break. A 3D fiber network model is built with a deposition technique according to experimental results. Introducing fines in the same way as fibers and increasing the amount of fibrillar fines does not affect the thickness significantly. The densification is instead captured either by changing the width-to-height ratio of the fiber cross sections or by changing the flexibility of the fibers through the so-called interface angle, both having a large impact on the thickness. But SEM images suggest that the width-height-ratio did not reveal a significant change between the three grades of refining. The effect of refining on the mechanical properties is studied numerically using micromechanical simulations which assist interpretation of experimental results. The FE network simulations show that the thickness change alone cannot explain the increased stiffness observed in physical experiments. The addition of fines fraction modelled to capture the fibrillar fines observed in SEM images proved to have a large impact on stiffness comparable to that of experiments. Thus the increased stiffness is partly due to increased number of contacts after densification and partly due to the addition of fines. / Optimerad användning av fibrerna är avgörande för processeffektivitet och lönsamhet i tillverkningen av papper och kartong. Fibrerna kan vidareutvecklas genom ytterligare mekanisk malning för att nå önskad fiberkvalitet. Malning leder till en mängd simultana strukturförändringar av fibrerna såsom inre fibrillering, yttre fibrillering och bildning av så kallade fines, finare partiklar, som på olika sätt bidrar till att förbättra pappersarkens sammansättning och förstärka bindningen mellan fibrer. Detta förbättrar pappersstyrkan vilken är en av kvalitetsparametrarna hos papper. Tre malgrader har studerats. Mikroskopbilder av pappersmassan visar att de finare partiklarna inte är en homogen sammansättning. Men i analysen av SEM bilder av pappersarkens ytor så kan fibriller och grupper av fibriller observeras bilda länkar mellan angränsande fibrer vilka kan förstärka fibernätverket och fibrernas bindningsregioner. Fiberkarakteriseringsmetoden utförd av FiberLab kan bara fånga trender i mängden fines i pappersmassorna och dessa är underskattningar eftersom instrumentets optiska upplösning är begränsad i karakteriseringen av fibriller. SEM bilder av arkens tvärsnitt tillsammans med tjockleksmätningar visar på att ökad malgrad resulterar i en förtätning av arken. Dragprov visar att ökad malgrad leder till en märkbar ökad styrka och styvhet men en något blygsammare ökning i töjningsgräns. En 3D fibernätverksmodell skapas med en depositionsteknik enligt experimentella resultat. Genom att introducera fines på samma sätt som fibrer och öka antalet visade sig inte ha någon signifikant inverkan på nätverkets tjocklek. Istället fångas förtätningen av arken på två andra sätt i genereringen av fibernätverket, antingen genom ändring av bredd-höjd kvoten av fibrernas tvärsnitt eller genom förändring av fibrernas flexibilitet med användandet av den så kallade interfacevinkeln, vilka båda har stor inverkan på tjockleken. Men SEM bilder av tvärsnitten visade ingen stor skillnad hos bredd-höjd kvoten mellan de tre malgraderna. Malgradens påverkan på de mekaniska egenskaperna studeras numeriskt genom mikromekaniska simuleringar, vilka jämförs med experimentella resultat. Finita element simuleringarna visar att tjockleksändringen inte ensamt kan förklara den ökade styvheten som observerats i dragproven. Tillägget av fines modellerade att fånga fibrillernas egenskaper observerade i SEM bilder visade sig ha en stor inverkan på styvheten, jämförbar med dragproven. Alltså, den ökade styvheten beror dels på ökat antal kontaktpunkter efter förtätning av arken och dels på innehållet av fines.