Behaviour of Concrete Structural Members Subjected to Air Blast Loading

Numerical analysis is a suitable tool in the design of complex reinforced concrete structures under extreme impulsive loadings such as impacts or explosions at close range. Such events may be the result of terrorist attacks. Reinforced concrete is commonly used for buildings and infrastructures. For this reason, the ability to accurately run numerical simulations of concrete elements subjected to blast loading is needed. In this context, reliable constitutive models for concrete are of capital importance. In this research numerical simulations using two different constitutive models for concrete (Continuous Surface Cap Model and Brittle Damage Model) have been carried out using LS-DYNA. Two experimental benchmark tests have been taken as reference. The results of the numerical simulations with the aforementioned constitutive models show different abilities to accurately represent the structural response of the reinforced concrete elements studied.

Um modelo multiescala concorrente para representar o processo de fissuração do concreto.

Este trabalho propõe uma técnica de modelagem multiescala concorrente do concreto considerando duas escalas distintas: a mesoescala, onde o concreto é modelado como um material heterogêneo, e a macroescala, na qual o concreto é tratado como um material homogêneo. A heterogeneidade da estrutura mesoscópica do concreto é idealizada considerando três fases distintas, compostas pelos agregados graúdos e argamassa (matriz), estes considerados materiais homogêneos, e zona de transição interfacial (ZTI), tratada como a parte mais fraca entre as três fases. O agregado graúdo é gerado a partir de uma curva granulométrica e posicionado na matriz de forma aleatória. Seu comportamento mecânico é descrito por um modelo constitutivo elástico-linear, devido a sua maior resistência quando comparado com as outras duas fases do concreto. Elementos finitos contínuos com alta relação de aspecto em conjunto com um modelo constitutivo de dano são usados para representar o comportamento não linear do concreto, decorrente da iniciação de fissuras na ZTI e posterior propagação para a matriz, dando lugar à formação de macrofissuras. Os elementos finitos de interface com alta relação de aspecto são inseridos entre todos os elementos regulares da matriz e entre os da matriz e agregados, representando a ZTI, tornando-se potenciais caminhos de propagação de fissuras. No estado limite, quando a espessura do elemento de interface tende a zero (h ?0) e, consequentemente, a relação de aspecto tende a infinito, estes elementos apresentam a mesma cinemática da aproximação contínua de descontinuidades fortes (ACDF), sendo apropriados para representar a formação de descontinuidades associados a fissuras, similar aos modelos coesivos. Um modelo de dano à tração é proposto para representar o comportamento mecânico não linear das interfaces, associado à formação de fissuras, ou até mesmo ao eventual fechamento destas. A fim de contornar os problemas causados pela malha de elementos finitos de transição entre as malhas da macro e da mesoescala, que, em geral, apresentam diferenças expressivas 5 de refinamento, utiliza-se uma técnica recente de acoplamento de malhas não conformes. Esta técnica é baseada na definição de elementos finitos de acoplamento (EFAs), os quais são capazes de estabelecer a continuidade de deslocamento entre malhas geradas de forma completamente independentes, sem aumentar a quantidade total de graus de liberdade do problema, podendo ser utilizados tanto para acoplar malhas não sobrepostas quanto sobrepostas. Para tornar possível a análise em multiescala em casos nos quais a região de localização de deformações não pode ser definida a priori, propõe-se uma técnica multiescala adaptativa. Nesta abordagem, usa-se a distribuição de tensões da escala macroscópica como um indicador para alterar a modelagem das regiões críticas, substituindo-se a macroescala pela mesoescala durante a análise. Consequentemente, a malha macroscópica é automaticamente substituída por uma malha mesoscópica, onde o comportamento não linear está na iminência de ocorrer. Testes numéricos são desenvolvidos para mostrar a capacidade do modelo proposto de representar o processo de iniciação e propagação de fissuras na região tracionada do concreto. Os resultados numéricos são comparados com os resultados experimentais ou com aqueles obtidos através da simulação direta em mesoescala (SDM).

Application of Numerical Methods to Study Arrangement and Fracture of Lithium-Ion Microstructure

The focus of this work is to develop and employ numerical methods that provide characterization of granular microstructures, dynamic fragmentation of brittle materials, and dynamic fracture of three-dimensional bodies.

We first propose the fabric tensor formalism to describe the structure and evolution of lithium-ion electrode microstructure during the calendaring process. Fabric tensors are directional measures of particulate assemblies based on inter-particle connectivity, relating to the structural and transport properties of the electrode. Applying this technique to X-ray computed tomography of cathode microstructure, we show that fabric tensors capture the evolution of the inter-particle contact distribution and are therefore good measures for the internal state of and electronic transport within the electrode.

We then shift focus to the development and analysis of fracture models within finite element simulations. A difficult problem to characterize in the realm of fracture modeling is that of fragmentation, wherein brittle materials subjected to a uniform tensile loading break apart into a large number of smaller pieces. We explore the effect of numerical precision in the results of dynamic fragmentation simulations using the cohesive element approach on a one-dimensional domain. By introducing random and non-random field variations, we discern that round-off error plays a significant role in establishing a mesh-convergent solution for uniform fragmentation problems. Further, by using differing magnitudes of randomized material properties and mesh discretizations, we find that employing randomness can improve convergence behavior and provide a computational savings.

The Thick Level-Set model is implemented to describe brittle media undergoing dynamic fragmentation as an alternative to the cohesive element approach. This non-local damage model features a level-set function that defines the extent and severity of degradation and uses a length scale to limit the damage gradient. In terms of energy dissipated by fracture and mean fragment size, we find that the proposed model reproduces the rate-dependent observations of analytical approaches, cohesive element simulations, and experimental studies.

Lastly, the Thick Level-Set model is implemented in three dimensions to describe the dynamic failure of brittle media, such as the active material particles in the battery cathode during manufacturing. The proposed model matches expected behavior from physical experiments, analytical approaches, and numerical models, and mesh convergence is established. We find that the use of an asymmetrical damage model to represent tensile damage is important to producing the expected results for brittle fracture problems.

The impact of this work is that designers of lithium-ion battery components can employ the numerical methods presented herein to analyze the evolving electrode microstructure during manufacturing, operational, and extraordinary loadings. This allows for enhanced designs and manufacturing methods that advance the state of battery technology. Further, these numerical tools have applicability in a broad range of fields, from geotechnical analysis to ice-sheet modeling to armor design to hydraulic fracturing.

Modelling the crush behaviour of thermoplastic composites

Thermoplastic composites are likely to emerge as the preferred solution for meeting the high-volume production demands of passenger road vehicles. Substantial effort is currently being directed towards the development of new modelling techniques to reduce the extent of costly and time consuming physical testing. Developing a high-fidelity numerical model to predict the crush behaviour of composite laminates is dependent on the accurate measurement of material properties as well as a thorough understanding of damage mechanisms associated with crush events. This paper details the manufacture, testing and modelling of self-supporting corrugated-shaped thermoplastic composite specimens for crashworthiness assessment. These specimens demonstrated a 57.3% higher specific energy absorption compared to identical specimen made from thermoset composites. The corresponding damage mechanisms were investigated in-situ using digital microscopy and post analysed using Scanning Electron Microscopy (SEM). Splaying and fragmentation modes were the 2 primary failure modes involving fibre breakage, matrix cracking and delamination. A mesoscale composite damage model, with new non-linear shear constitutive laws, which combines a range of novel techniques to accurately capture the material response under crushing, is presented. The force-displacement curves, damage parameter maps and dissipated energy, obtained from the numerical analysis, are shown to be in a good qualitative and quantitative agreement with experimental results. The proposed approach could significantly reduce the extent of physical testing required in the development of crashworthy structures.  

DEVELOPMENT OF AN OFF-LINE RAINFLOW COUNTING ALGORITHM WITH TEMPORAL PARAMETERS AND DATA REDUCTION

Rainflow counting methods convert a complex load time history into a set of load reversals for use in fatigue damage modeling. Rainflow counting methods were originally developed to assess fatigue damage associated with mechanical cycling where creep of the material under load was not considered to be a significant contributor to failure. However, creep is a significant factor in some cyclic loading cases such as solder interconnects under temperature cycling. In this case, fatigue life models require the dwell time to account for stress relaxation and creep. This study develops a new version of the multi-parameter rainflow counting algorithm that provides a range-based dwell time estimation for use with time-dependent fatigue damage models. To show the applicability, the method is used to calculate the life of solder joints under a complex thermal cycling regime and is verified by experimental testing. An additional algorithm is developed in this study to provide data reduction in the results of the rainflow counting. This algorithm uses a damage model and a statistical test to determine which of the resultant cycles are statistically insignificant to a given confidence level. This makes the resulting data file to be smaller, and for a simplified load history to be reconstructed.

Steroid induced neuroprotection of damaged photoreceptor cells

Retinitis Pigmentosa (RP) is the name given to a group of hereditary diseases causing progressive and degenerative blindness. RP affects over 1 in 4000 individuals, making it the most prevalent inherited retinal disease worldwide, yet currently there is no cure. In 2011, our group released a paper detailing the protective effects of the synthetic progestin ‘Norgestrel’. A common component of the female oral contraceptive pill, Norgestrel was shown to protect against retinal cell death in two distinct mouse models of retinal degeneration: in the Balb/c light damage model and the Pde6brd10 (rd10) model. Little was known of the molecular workings of this compound however and thus this study aimed to elucidate the protective manner in which Norgestrel worked. To this aim, the 661W cone photoreceptor-like cell line and ex vivo retinal explanting was utilised. We found that Norgestrel induces a increase in neuroprotective basic fibroblast growth factor (bFGF) with subsequent downstream actions on the inhibition of glycogen synthase kinase 3β. Progesterone receptor expression was subsequently characterised in the C57 and rd10 retinas and in the 661W cell line. Norgestrel caused nuclear trafficking of progesterone receptor membrane complex one (PGRMC1) in 661W cells and thus Norgestrel was hypothesised to work primarily through the actions of PGRMC1. This trafficking was shown to be responsible for the critical upregulation of bFGF and PGRMC1- Norgestrel binding was proven to cause a neuroprotective bFGF-mediated increase in intracellular calcium. The protective properties of Norgestrel were further studied in the rd10 mouse model of retinitis pigmentosa. Using non-invasive diet supplementation (80mg/kg), we showed that Norgestrel gave significant retinal protection out to postnatal day 40 (P40). Overactive microglia have previously been shown to potentiate photoreceptor cell loss in the degenerating rd10 retina and thus we focussed on Norgestrel-mediated changes in photoreceptor-microglial crosstalk. Norgestrel acted to dampen pro-inflammatory microglial cell reactivity, decreasing chemokine (MCP1, MCP3, MIP-1α, MIP-1β) and subsequent damaging cytokine (TNFα, Il-1β) production. Critically, Norgestrel up-regulated photoreceptor-microglial, fractalkine-CX3CR1 signalling 1000-fold in the P20 rd10 mouse. Known to prevent microglial activation, we hypothesise that Norgestrel acts as a vital anti-inflammatory in the diseased retina, driving fractalkine-CX3CR1 signalling to delay retinal degeneration. This study stands to highlight some of the neuroprotective mechanisms utilised by Norgestrel in the prevention of photoreceptor cell death. We identify for the first time, not only a pro-survival pathway activated directly in photoreceptor cells, but also a Norgestreldriven mediation of an otherwise damaging microglial cell response. All taken, these results form the beginning of a case to bring Norgestrel to clinical trials, as a potential therapeutic for the treatment of RP.

Microglia as therapeutic targets in retinal degeneration: role of translocator protein (18 κDa) (TSPO) and minocycline.

Microglia are the resident immune cells of the central nervous system (CNS) and play an important role in innate immune defense as well as tissue homeostasis. Chronic microglial reactivity, microgliosis, is a general hallmark of inflammatory and degenerative diseases that affect the CNS, including the retina. There is increasing evidence that chronic microgliosis is more than just a bystander effect, but rather actively contributes to progression of degeneration through processes such as toxic nitric oxide (NO) production and even phagocytosis of stressed but viable photoreceptors. Therefore immunmodulation of microglia presents a possible therapeutic strategy for retinal degenerations. Notably, the expression of the mitochondrial translocator protein 18 (κDa) (TSPO) is highly elevated in reactive microglia as seen in several neuroinflammatory diseases such as Alzheimer’s disease, Parkinson’s disease and multiple sclerosis. Therefore it is used as a gliosis biomarker in the brain. Moreover TSPO ligands show potent effects in resolving neuroinflammatory brain disorders. However, TSPO expression in the eye had not been investigated before. Further, it was unknown whether TSPO ligands’ potent immunomodulatory effects could be used to treat retinal degenerations. To fill this gap, the study aimed to analyze whether TSPO is also a potential biomarker for degenerative processes in the retina. Moreover the thesis attempted to determine whether a specific TSPO ligand, XBD173, might modulate microglial reactivity and is a potent therapeutic, to treat retinal degenerative diseases. The findings revealed that TSPO is strongly upregulated in microglial cells of retinoschisin-deficient (RS1-/y) mice, a model of inherited retinal degeneration and in a murine light damage model. A co-localization of TSPO and microglia was furthermore detectable in human retinal sections, indicating a potential role for TSPO as a biomarker for retinal degenerations. In vitro assays showed that the TSPO ligand XBD173 effectively inhibited features of microglial activation such as morphological transformation into reactive phagocytes and enhanced expression of pro-inflammatory cytokines. XBD173 also reduced microglial migration and proliferation and reduced their neurotoxic potential on photoreceptor cells. In two independent mouse models of light-induced retinal degeneration, the treatment with XBD173 reduced accumulation of amoeboid, reactive microglia in the outer retina and attenuated degenerative processes, indicated by a nearly preserved photoreceptor layer. A further question addressed in this thesis was whether minocycline, an antibiotic with additional anti-inflammatory properties is able to reduce microglial neurotoxicity and to protect the retina from degeneration. Minocycline administration dampened microglial pro-inflammatory gene expression, NO production and neurotoxicity on photoreceptors. Interestingly, in addition to its immunomodulatory effect, minocycline also increased the viability of photoreceptors in a direct manner. In the light damage model, minocycline administration counter-acted microglial activation and blocked retinal degeneration. Taken together these results identified TSPO as a biomarker for microglial reactivity and as therapeutic target in the retina. Targeting TSPO with XBD173 was able to reverse microglial reactivity and could prevent degenerative processes in the retina. In addition, the study showed that the antibiotic minocycline effectively counter-regulates microgliosis and light-induced retinal degeneration. Considering that microgliosis is a major contributing factor for retinal degenerative disorders, this thesis supports the concept of a microglia-directed therapy to treat retinal degeneration.

A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement

We propose an alternative crack propagation algo- rithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algo- rithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equa- tions is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algo- rithm, we use five quasi-brittle benchmarks, all successfully solved.

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD) formulation for thermomechanical brittle and ductile fracture is presented. The Johnson–Cook (JC) constitutive and damage model is used to taken into account plastic hardening, thermal softening and fracture. The for- mulation is validated by considering two benchmark examples: 1) The Taylor-bar impact and 2) the Kalthoff– Winkler tests. The results show good agreements between the numerical simulations and the experimental results.

Investigating the potential value of individual parameters of histological grading systems in a sheep model of cartilage damage : the modified Mankin method

A total histological grade does not necessarily distinguish between different manifestations of cartilage damage or degeneration. An accurate and reliable histological assessment method is required to separate normal and pathological tissue within a joint during treatment of degenerative joint conditions and to sub-classify the latter in meaningful ways. The Modified Mankin method may be adaptable for this purpose. We investigated how much detail may be lost by assigning one composite score/grade to represent different degenerative components of the osteoarthritic condition. We used four ovine injury models (sham surgery, anterior cruciate ligament/medial collateral ligament instability, simulated anatomic anterior cruciate ligament reconstruction and meniscal removal) to induce different degrees and potentially 'types' (mechanisms) of osteoarthritis. Articular cartilage was systematically harvested, prepared for histological examination and graded in a blinded fashion using a Modified Mankin grading method. Results showed that the possible permutations of cartilage damage were significant and far more varied than the current intended use that histological grading systems allow. Of 1352 cartilage specimens graded, 234 different manifestations of potential histological damage were observed across 23 potential individual grades of the Modified Mankin grading method. The results presented here show that current composite histological grading may contain additional information that could potentially discern different stages or mechanisms of cartilage damage and degeneration in a sheep model. This approach may be applicable to other grading systems.

Development of a transient gradient enhanced non local continuum damage mechanics model for masonry

Due to the advent of varied types of masonry systems a comprehensive failure mechanism of masonry essential for the understanding of its behaviour is impossible to be determined from experimental testing. As masonry is predominantly used in wall structures a biaxial stress state dominates its failure mechanism. Biaxial testing will therefore be necessary for each type of masonry, which is expensive and time consuming. A computational method would be advantageous; however masonry is complex to model which requires advanced computational modelling methods. This thesis has formulated a damage mechanics inspired modelling method and has shown that the method effectively determines the failure mechanisms and deformation characteristics of masonry under biaxial states of loading.

Component Assembling Model and Its Application to Quasi-Brittle Damage

Potential energy can be approximated by ‘‘pair-functional’’ potentials which is composed of pair potentials and embedding energy. Pair potentials are grouped according to discrete directions of atomic bonds such that each group is represented by an orientational component. Meanwhile, another kind of component, the volumetric one is derived from embedding energy. Damage and fracture are the changing and breaking of atomic bonds at the most fundamental level and have been reflected by the changing of these components’ properties. Therefore, material is treated as a component assembly, and its constitutive equations are formed by means of assembling these two kinds of components’ response functions. This material model is referred to as the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of physical explicitness and intrinsic induced anisotropy, etc.

The development of an inhomogeneous damage field in an elastic-plastic model

By making use of the evolution equation of the damage field as derived from the statistical mesoscopic damage theory, we have preliminarily examined the inhomogeneous damage field in an elastic-plastic model under constant-velocity tension. Three types of deformation and damage field evolution are presented. The influence of the plastic matrix is examined. It seems that matrix plasticity may defer the failure due to damage evolution. A criterion for damage localization is consistent with the numerical results.