Teeth trauma has become one of the most serious physical problems that people are suffering from in the past years. Early diagnosis and management are desperately needed to improve tooth survival, functionality and avoid the tooth loss. However, the diagnosis of cracked tooth could be challenging due to the small size of the crack. Therefore, a mechanics understanding of the tooth fracture is demanding from the perspective of developing a framework for failure prediction in clinical research and bio-mimetic restorative materials. This study focuses on characterising the anisotropic fracture behaviour and the crack shielding mechanisms in elephant dentin. This is often used as a structural analogue for human dentin due to the similarities in microstructure and chemical composition, in order to avoid the test-piece size restrictions, given the larger size of ivory than human teeth. Compact tension test-pieces were extracted from different locations on the ivory tusk so as to have different crack growth directions relative to the microstructure to inspect the fracture anisotropies. The fracture toughness as a function of the crack extension was assessed in terms of fracture resistance curves (R-curve). The accumulative crack-tip strain fields were also measured for the first time in dentin using digital image correlation technique (DIC) to investigate the capability of crack-tip elastic/plastic deformation before material failure. Investigation of crack morphologies, the interaction between crack and the microstructures, the fracture surfaces using both 2-D and 3-D techniques could provide with insights into extrinsic shielding mechanisms. Surface and volume crack opening displacement (COD) were measured for the first time optically and by X-ray computed tomography to investigate the effect of extrinsic crack-tip shielding. The displacement fields around the crack-tip obtained by DIC were fitted using Westergaard’s analytical solution to extract the effective stress intensity factor, by comparing this to the applied load, the efficiency of the crack-tip shielding could be evaluated. A novel cohesive element model (traction-separation law) was then established based on the COD results to simulate the physical process of crack-tip shielding. It is the first time the cohesive model has been adapted to studying the direct crack behaviour measured by in-situ experiment to predict the crack growth. This model was then validated using the crack-tip strain field and R-curve obtained from the experiment measurement.

[pt] O sulfato de magnésio está presente em diversos rejeitos industriais e de mineração. Ele e seus derivados poderiam ser reaproveitados em várias áreas industriais, deixando de ser um rejeito para se tornar parte de um processo. Seu óxido, MgO, pode ser utilizado em algumas funções, como regulador de pH, dependendo de sua reatividade. Devido a isto sua formação deve ocorrer em temperaturas abaixo das temperaturas de decomposição do MgSO4. Assim sendo este trabalho avaliou aspectos da decomposição do MgSO4 através de dois artigos. O artigo 1 (Thermodynamics Simulations and Kinetics Modeling of the Thermal Decomposition of MgSO4.7H2O: Part 1 – Reducing Agent Effect), avaliou o efeito cinético da utilização do carbono, através de quatro diferentes agentes redutores, na decomposição térmica do MgSO4.7H2O, enquanto que o artigo 2 (Thermodynamics Simulations and Kinetics Modeling of the Thermal Decomposition of MgSO4.7H2O: Part 2 – Hydration Effect) analisou as influências da taxa de aquecimento dos ensaios e do grau de hidratação do sulfato de magnésio utilizado. Os ensaios termogravimétricos realizados ao longo destes artigos, utilizaram amostras com massa de aproximadamente 10 mg de mistura (sulfato + agente redutor) e estas misturas tiveram uma relação estequiométrica de 1:1. Os experimentos realizados no artigo 1, utilizaram como agentes redutores agentes redutores, carvão vegetal, coque verde, coque breeze e grafite. No artigo 2, os sulfatos analisados foram o anidro, o monohidratado e o heptahidratado e as taxas de aquecimento utilizadas foram de 5 K.min(-1) , 10 K.min(-1) , 15 K.min(-1) e 20 K.min(-1) . Todos os dados obtidos dos ensaios termogravimétricos foram processados através de modelagem matemática para se obter os dados cinéticos. No artigo 1 a utilização dos agentes redutores se mostrou eficiente reduzindo a energia de ativação da decomposição do sulfato de magnésio de 22,731 kJ.mol(-1) (sulfato puro) para 340,391 kJ.mol(-1) (coque verde), 196,120 kJ.mol(-1) (grafite), 191,100 kJ.mol(-1) (coque breeze) e 162,302 kJ.mol(-1) (carvão vegetal). No artigo 2, a taxa de aquecimento não se mostrou como um fator determinante para a decomposição do MgSO4, já em relação a hidratação do sulfato de magnésio, os resultados indicaram que uma pequena parcela de H2O no sistema pode influenciar positivamente a decomposição, visto que os valores de Ea médio foram de 404,5 KJ.mol(-1) (mono), 407 KJ.mol(-1) (anidro) e 433,3 KJ.mol(-1) (hepta). / [en] Magnesium sulfate is present in several industrial and mining wastes. It and its derivatives could be reused in various industrial areas, ceasing to be a waste to become part of a process. Its oxide, MgO, can be used in some functions, as a pH regulator, depending on its reactivity. Due to this, its formation must occur at temperatures below the decomposition temperatures of MgSO4. Therefore, this work evaluated aspects of the decomposition of MgSO4 through two articles. Article 1 (Thermodynamics Simulations and Kinetics Modeling of the Thermal Decomposition of MgSO4.7H2O: Part 1 – Reducing Agent Effect), evaluated the kinetic effect of using carbon, through four different reducing agents, on the thermal decomposition of MgSO4.7H2O, while article 2 (Thermodynamics Simulations and Kinetics Modeling of the Thermal Decomposition of MgSO4.7H2O: Part 2 – Hydration Effect) analyzed the influences of the heating rate of the tests and the degree of hydration of the magnesium sulfate used. The thermogravimetric tests carried out throughout these articles used samples with a mass of approximately 10 mg of the mixture (sulfate + reducing agent) and these mixtures had a stoichiometric ratio of 1:1. The experiments carried out in article 1 used reducing agents, charcoal, green coke, breeze coke, and graphite as reducing agents. In article 2, the sulfates analyzed were anhydrous, monohydrate, and heptahydrate and the heating rates used were 5 K.min(-1) , 10 K.min(-1) , 15 K.min(-1) , and 20 K.min(-1). All data obtained from thermogravimetric tests were processed through mathematical modeling to obtain kinetic data. In article 1, the use of reducing agents proved efficient, reducing the activation energy of magnesium sulfate decomposition from 22.731 kJ.mol(-1) (pure sulfate) to 340.391 kJ.mol(-1) (green coke), 196.120 kJ.mol(-1) (graphite), 191,100 kJ.mol(-1) (coke breeze) and 162,302 kJ.mol(-1) (charcoal). In article 2, the heating rate was not shown to be a determining factor for the decomposition of MgSO4, in relation to the hydration of magnesium sulfate, the results indicated that a small portion of H2O in the system can positively influence the decomposition since the average Ea values were 404.5 KJ.mol(-1) (mono), 407 KJ.mol(-1) (anhydrous) and 433.3 KJ.mol(-1) (hepta).