Modélisation analytique et simulation numérique de la nucléation et de la propagation de la fissure cohésive couplée avec la plasticité

The aims of this work is to study the cracks evolution under plasticity and nonuniform stress field effects by using cohesive zone model. Firstly, basing on the variational approach, the crack evolution in the elastoplastic material is investigated. The solutions for 1D beam under simple tension is expressed explicitly through the first and the second orders stability conditions of energy. This study shows us the plasticity effects on the material softening behavior as soon as crack appears. In fact, the global solution of the beam under described displacement is stable only if the beam length is lower than a characteristic length. This length is independent of plasticity hardening module but depends on Young modulus and on the second derivative of crack energy density. The energy formulations can be generalized for 3D structure. In this case, the plasticity and cohesive criteria become two curves in Mohr’s stresses plane. The comparison between theses curves allows us to consider the crack nucleation in the plastified domain. Secondly, the non-uniform stress field effects on the crack nucleation in the elastic material is highlighted. The analytical solution is established by using two-scales techniqueand complex analysis. The evolution of fully cohesive crack and partially non-cohesive crack is controlled by the stress gradient, which is related to a characteristic length. Different cohesive laws are used in our study. The sensitivity of solution to preexisting imperfection size is also explored. Finally, analytical results are validated by numerical simulations and the cohesive zone model in mixed mode is implemented in Code_Aster.L’objectif de cette thèse est d’étudier l’évolution de la fissure sous les effets de plasticité et du champ de contrainte non-uniforme à l’aide du modèle de zone cohésive. Dans un premier temps, l’évolution de la fissure au sein du matériau élastoplastique est explorée dans le cadre de l’approche variationnelle. Les solutions sont explicitées dans le cas d’une barre 1D sous traction simple grâce aux conditions de stabilité locale d’énergie au premier ordre et au second ordre. Cette étude nous permet de mettre en lumière l’effet de la plasticité sur le comportementadoucissant du matériau dès que la fissure cohésive apparaît. En effet, la réponse globale de la barre sous déplacement imposé est stable seulement si la longueur de la barre est inférieure à une longueur critique. Cette dernière est démontrée indépendante du module d’écrouissage plastique mais dépend du module Young et de la dérivée seconde de la densité d’énergie de fissure. Les formulations énergétiques peuvent être généralisées pour la structure 3D. Dans ce cas, les critères de plasticité et de cohésif deviennent les courbes dans le plan des contraintes de Mohr. La comparaison des courbes nous permet d’étudier la nucléation de fissure cohésive au sein du domaine plastifié. Dans un deuxième temps, les effets de la non-uniformité du champ de contrainte sur la nucléation de la fissure au sein de la structure élastique sont mis en évidence. On construit la solution analytique en utilisant la technique à deux échelles et l’analyse complexe. L’évolution de la fissure purement cohésive et partiellement non-cohésive est contrôlée par le gradient du champ de contrainte lié à une longueur caractéristique. L’utilisation des différentes lois cohésives dans le problème est explorée. La sensibilité de la solution à la taille du défaut préexistant est également étudiée. Finalement, des résultats analytiques sont validés par les simulations numériques et le modèle de zone cohésive en mode mixte est implémenté dans Code_Aster

Near-threshold fatigue propagation of physically through-thickness short and long cracks in a low alloy steel

International audienceIn this paper, the near-threshold fatigue behavior of physically through-thickness short cracks and of long cracks in a low alloy steel is investigated by experiments in ambient air. Physically through-thickness short fatigue cracks are created by gradually removing the plastic wake of long cracks in compact tension specimens. The crack closure is systematically measured using the compliance variation technique with numerical data acquisition and filtering for accurate detection of the stress intensity factor (SIF) at the crack opening. Based on the experimental results, the nominal threshold SIF range is shown to be dependent on the crack length and the characteristic of the crack wake which is strongly dependent on the loading history. The effective threshold SIF range and the relation between the crack propagation rate and the effective SIF range after the crack closure correction are shown to be independent on crack length and loading history. The shielding effect of the crack closure is shown to be related to the wake length and load history. The effective threshold SIF range and the relationship between the crack growth rate and the effective SIF range appear to be unique for this material in ambient air. These properties can be considered as specific fatigue properties of the couple material/ambient air environment

The VATLY Radio Telescope

A small radio telescope (SRT) has been installed on the roof of the Hanoi astrophysics laboratory VATLY. It is equipped with a 2.6 m diameter mobile parabolic dish remotely controlled in elevation and azimuth and with super-heterodyne detection around the 21 cm hydrogen line. First results of observations of the Sun and of the centre of the Milky Way are presented. They demonstrate the high quality of the telescope performance and are used to evaluate lobe size, signal to noise ratios, anthropogenic interferences and measurement accuracies. Particular attention is given to the measurement of the pointing accuracy. The rich measurement programme that is now at hand is briefly sketched

Simulation of proton-induced and iron-induced extensive air showers at extreme energies

The development of extensive air showers at extreme energies is studied using a simulation model much simpler and cruder, but also more transparent and flexible, than existing sophisticated codes. Evidence for its satisfactory performance is presented. As an illustration, shower elongation rates are evaluated in the $10^{18}$ to $10^{20}$ eV region and compared with recently published data. Lateral distribution functions of both muons and electrons/photons are also briefly discussed. Reliable results are obtained in the comparison between proton-induced and iron-induced showers.Comment: 22 pages, Preprint submitted to Astroparticle Physic

The experience of using e-commerce platforms affects the online purchase intention of customers in the FMCG (Fast moving consumer goods) sector in Hanoi city

In recent times, the Vietnamese e-commerce market is in a period of strong development, in addition, to the sharp increase in people’s demands to join e-commerce platforms after the epidemic. The research group started with an overview study, then research hypotheses and models were proposed. After conducting preliminary qualitative and quantitative research to adjust the appropriate scales, the research group created a questionnaire and collected data in online forms with a sample size of 350. Next, the data was entered into the software for SEM analysis. The results of the study indicate that the quality of the e-commerce platform has an indirect impact on the purchase intention through the positive impact on the trust and the negative impact on the perceived risk. Attitudes towards information, trust, perceived risk, and perceived usefulness have direct influences on purchase intention. Attitude towards information, trust, and perceived usefulness have positive effects on purchase intention, while perceived risk harms purchase intention. In addition, purchase intention is relatively strongly influenced by trust and perceived usefulness. Perceived risk and attitude towards information have little influence on purchase intention. Finally, the research team proposes some solutions for businesses to increase the purchase intention of consumers through e-commerce platforms. &nbsp

Fatigue Crack Propagation in Gaseous Hydrogen Environment in Low Alloy Steel

International audienceFatigue crack propagation in low alloyed steel (3.5Ni-1.5Cr-0.5Mo-V) used for turbine generator of nuclear plant is studied under 4 bar hydrogen atmosphere in comparison to ambient air and high vacuum. Tests are conducted on CT specimens and the variation of the fatigue crack growth rate da/dN with respect to the amplitude of the applied stress intensity factor ΔK is explored in a wide range and especially in the near threshold domain. The propagation behaviour under hydrogen atmosphere is shown similar to that obtained in air in the low rate range, i.e. when the maximum of the stress intensity factor Kmax is lower than a critical level of 16 MPam1/2 with higher crack growth rate than in high vacuum. This environment effect is related to the presence of residual water vapour in both gases. For Kmax higher than 16 MPam1/2, much faster growth rates under hydrogen atmosphere in comparison to air and vacuum are observed and related to hydrogen assisted intergranular propagation combining fatigue and sustained loading damage. The results are discussed on the basis of micrographic observations supporting the involved mechanisms

Mapping Atomic Hydrogen in the Disk of the Milky Way

The VATLY radio telescope has been used to draw the map of atomic hydrogen gas in the disk of the Milky Way. Evidence has been obtained for its differential rotation, its cloud and arm structure and the presence of a dark matter halo

Survey on Vietnamese teachers’ perspectives and perceived support during COVID-19

The COVID-19 pandemic has caused unprecedented damage to the educational system worldwide. Besides the measurable economic impacts in the short-term and long-term, there is intangible destruction within educational institutions. In particular, teachers – the most critical intellectual resources of any schools – have to face various types of financial, physical, and mental struggles due to COVID-19. To capture the current context of more than one million Vietnamese teachers during COVID-19, we distributed an e- survey to more than 2,500 randomly selected teachers from two major teacher communities on Facebook from 6th to 11th April 2020. From over 373 responses, we excluded the observations which violated our cross-check questions and retained 294 observations for further analysis. This dataset includes: (i) Demographics of participants; (ii) Teachers' perspectives regarding the operation of teaching activities during the pandemic; (iii) Teachers' received support from their schools, government bodies, other stakeholders such as teacher unions, and parents' associations; and (iv) teachers' evaluation of school readiness toward digital transformation. Further, the dataset was supplemented with an additional question on the teachers' primary source of professional development activities during the pandemic

A comparison for donor-acceptor interactions between E(PH3)2 and NHEMe ligands (E = C to Pb) of W(CO)5 complexes using energy decomposition analysis method with natural orbitals for chemical valence theory

Quantum chemical calculations at the BP86/TZ2P+ level of theory are performed for a comparison of density functional theory (DFT) between tetrylones [(CO)5W-{E(PH3)2}] (W5-EP2) and tetrylenes [(CO)5W-{NHEMe}] (W5-NHEMe) when E = C to Pb. The EDA-NOCV results suggest that the W-E bond dissociation energies (BDEs) in tetrylone complexes increase from the lighter to the heavier homologues. The W-E bond dissociation energies (BDEs) trend in W5-EP2 comes from the increase in (CO)5W←E(PH3)2 donation and strong electrostatic attraction, and that the ligands E(PH3)2 (EP2) are strong s-donors and very weak π-donors. The W-E BDEs trend in tetrylene complexes W5-NHEMe is opposite to that of the W5-EP2 complexes which decrease from the lighter to the heavier homologues. The NHEMe ligands are strong s-donors and weak π-acceptors. NOCV pairs were used in a description of the chemical bond between the W(CO)5 fragment and the ligands in the transition-metal complexes and the results indicated that the NOCV pairs lead to very valuable description of the bonding situation of the fragment-ligand bond in complexes. Keywords. Density functional theory; Bond dissociation energies (BDEs); Energy decomposition analysis (EDA); Natural Orbitals for Chemical Valence (NOCV)