Proyectos

Arqueología y Paleontología del antiguo Lago de Tagua Tagua

It is proposed to assess the feasibility of using ultrasound as a nonintrusive, in-situ, probe of plastic behavior in high-entropy alloys (HEAs). More specifically, whether it is possible to use ultrasound to reliably characterize the plasticity deformation mechanism---slip, TWIP, TRIP---of Fe80-xCo10Cr10Mnx. To this end, the speed of sound will be measured, continuously, as a function of applied stress in uniaxial tensile tests. In previous work, proposers have shown that the speed of sound as a function of stress provides a reliable tool to measure dislocation density in aluminum, copper, and stainless steel. In the latter case, it has also been shown to reliably discriminate between slip and twinning as a deformation mechanism. It is now proposed to study the possibility of extending this capability not only to new materials, HEAs, but also to a new mechanism, phase transformation. We will start with the materials whose plastic deformation is slip-dominated, since we have robust experience in this case. We shall then move to the TWIP material, where our more recent experience will be brought to bear, to end up with the unexplored, from the point of view of ultrasound, TRIP material. Samples for tensile loading will be prepared. They will be tested using a universal testing machine and ultrasound measurements of longitudinal wave velocity will be carried out in-situ. A decrease in the wave velocity as a function of applied stress will indicate a proliferation of dislocations; the dislocation density will be determined as a function of stress as will the parameters of Taylor's rule. An increase in wave velocity as a function of stress will indicate a decrease in average grain size. Modeling will be applied to determine whether this is due to twinning or phase transformation. These results will also be validated with post-mortem XRD, TEM, and metallography measurements, as well as ex-situ acoustic measurements. The success of the proposed research would have short-term and long-term benefits: In the short term it would provide a non-intrusive tool---ultrasound---to assist in the search for HEAs with pre-determined properties, as needed for specific applications. In the long-term, it would pave the way for the development of a practical, non-intrusive, tool for the evaluation of HEA pieces in service.

One goal is to enhance the methods being currently developed by Espı́ndola (Physics), Krause (Physiology), and Xavier (Biomedical Engineering) for reconstructing capillary networks with ultrasound. The super-resolution is needed for early detection diseases such as cognitive decline, cancer, or liver fibrosis. They perfuse lipid-encapsulated microbubbles as contrast agents and then localize the bubbles in the ultrasound images with the singular value filter. However, that method leaves a non-negligible percentage of bubbles undetected. Here we propose to complement the singular value filter for the detection and tracking of microbubbles with the sophisticated and mathematically sound Mumford-Shah method for image contour detection, which stems from the conceptually-insightful and numerically-robust perspective of the minimization of energies. In the reconstruction of the capillary network from ultrasound, it is impossible to directly distinguish the microbubbles, or even the blood vessels, in each frame separately, due to the attentuation and degradation in this imaging technique. It is essential to take into account the dynamic nature of the problem, distinguishing the slowly-varying signals emitted by the tissue from those emitted by the microbubbles, which flow rapidly, behave nonlinearly, and have a much shorter coherence length. We therefore propose to regard the collection of two-dimensional frames as a single three-dimensional image, where a moving bubble becomes a tubular neighbourhood of a filament, which the Mumford-Shah model is expected to recover. From these filaments, bubbles can be detected and tracked, and the vertical inclinations of theses filaments will yield the microbubbles velocities. From the velocity profiles it is possible to estimate the shear wall stresses (their ‘tangential elastic rigidities’) of the blood vessels, and anomalies in these stresses are commonly good indicators of the presence of specific diseases. A fortunate encounter between mathematics and mechanics led to the observation that the problem of finding the path that the propagation of a crack will follow inside a structure upon loading could be solved with the mathematical theory (the analysis of free-discontinuity problems) developed for the apparently unrelated image segmentation Mumford-Shah model. The variational fracture theory initiated by Francfort and Marigo is by now (20 years after) very well established. The second goal of this proposal is to further develop the ongoing collaboration between Song (Pharmaceutics), Siegel (Pharmaceutics), Sánchez (Numerical analysis), Calderer (Applied mathematics), and the PI on the study of the debonding of polymer gels from rigid substrates (relevant in the design of the synthetic polymers coating the metallic parts of pacemakers and other medical prostheses) from this variational fracture theory perspective. The third main goal is to apply the mathematical analysis of free-discontinuity problems to the modelling of the evolution of the cavity in the block caving technique in underground rock mining. This has been pursued by Ortega, Lecaros, and coworkers from the side of applied mathematics in academia, in collaboration with Gaete from the Geomechanics Research Department at El Teniente, research group to which Gutiérrez and the PI have joined in the last months. We propose to study the seismic activity induced by the fracture of the rock mass due to gravity, following the works in the last decade within the variational fracture theory that incorporate the inertia effects. The final aim is to optimize the injection of water jets for the aminoration of the seismic events near the operation sites. The three research lines are applications of the phase-field regularization by Ambrosio and Tortorelli of the Mumford-Shah free-discontinuity model, a different variant being required in each of the three contexts. The first stage of the implementation is of mathematical modelling and high-level numerical simulation abilities, in which the intuition and first-hand knowledge from the members of the research team that are experts in vascular function, ultrasound imaging, polymer chemistry, and mining geomechanics is translated into particular mathematical concepts and concrete computational methods. This is followed by a stage of calibration and validation, where the full interplay with experiments is required. The product of a robust and validated computational method will constitute then an advancement in the capabilities, available resources, and understanding in each of the applied disciplines.

Our interest in this project is to obtain two-dimensional models for a three-dimensional thin structures involving situations: • Magnetoelastic plates which are heterogeneous and whose heterogeneity occur at a small scale which depends of the thickness of the plate. Depending on energy scaling and the ratio between these two small parameters, different theories can be obtained. • Poroelastic shell containing a viscous fluid. • Quasistatic evolution problems for linearly elastoplastic shell with hardening.

Materia investigada: Biomedicina, enfermedades cardiovasculares, regulación transcripcional.

Materia investigada: Regulación transcripcional, microbiología, metilaciones, cobre.

Desarrollo de réplicas fidedignas e interactives de objetos deformables del mundo real. La principal aplicación estudiada serán los phantomas de órganos humanos, que permitirán la validación de intervenciones así como ayudar durante la formación de especialistas.

Resumen

The project aims to study the cardiac cycle's impact on brain responses and auditory perception. Using electroencephalogram and electrocardiogram recordings, we compare the neuronal responses to heartbeats in response to auditory stimulation in the different phases of the cardiac cycle. We evaluate interoceptive measures and traits of anxiety and depression in the population to establish relationships between neuronal activity and sensory and behavioral parameters.

Water vapor is a key component of the hydrological cycle since it is directly involved in the production of precipitation (rain, snow, hail). The transport of water vapor from the tropics (20ºN-20ºS) is fundamental to produce precipitation in midlatitudes (30ºS-50ºS) were local amounts atmospheric moisture are lower than the water column precipitated during a typical storm. This is especially evident during extreme precipitation events, where precipitation accumulation can surpass 2 or 3 times the local atmospheric water vapor available. Extreme precipitation events (EPEs) are expected to increase due to the anthropogenic climate change, and therefore studies addressing the dynamics and forcing factors of these events are increasingly important. Current research examining the relationship between water vapor transport and precipitation in central-southern Chile have advanced in this direction. However, there is a lack of research aiming to understand water-vapor-precipitation process at the mesoscale, where changes in the order of hours associated to convection are important. Even more, despite many storms in central-southern Chile show convective characteristics (e.g. precipitation rates of 10 mm/h or larger), studies looking at the mesoscale processes has not been addressed so far, partially due to the lack of ground-based weather radars. As a result, this research proposal takes the challenge of studying the transport of water vapor and link it with precipitation processes (stratiform and convective) at the mesoscale level in central and southern Chile by using a suit of observations and numerical modeling. To determine the water vapor mechanisms involved in the precipitation processes, the study will employ an atmospheric moisture budget, which involves the balance between a storage term (precipitation in this case) and the linear interaction between local changes, advection, and convergence of water vapor following an air parcel. The budget will be computed using gridded data from a state-of-the-art atmospheric reanalysis (ERA5), numerical simulations with the Weather Research and Forecasting (WRF) model, and mathematical techniques such as finite differences and the trapezoidal integration rule. In addition, a relatively dense network of GPS deployed in central-southern Chile will provide direct estimates of local changes of the column water vapor, allowing us to perform a thorough validation of both ERA5 and WRF. Precipitation processes will be examined using several sources. The polar orbiting Global Precipitation Measurement (GPM) satellite mission provides global swaths of radar reflectivity using a dual-frequency radar (Ku and Ka bands) in a swath-width of 245 km with 5 km resolution at nadir, and vertical beams spaced at 250 m. Along with radar reflectivity, GPM provides estimates of precipitation rates and a classification of the precipitation type, facilitating the identification of precipitation processes. A vertically pointing precipitation radar (Micro Rain Radar, MRR) is currently installed at Universidad de Concepción and will provide time-height sections of radar reflectivity that will complement GPM observations. In addition, a second MRR is planned to be installed in central Chile to provide further meridional context of precipitation processes. Finally, a couple of optical disdrometers and meteorological stations will deliver surface estimates of precipitation at hourly (and higher) rates. In parallel, ERA5 will provide precipitation estimations and classification (stratiform, convective), while WRF will allow to examine precipitation in detail for selected case studies. At the end of this project, it will be clear what component(s) of the moisture budget are dominating precipitation during EPE storms, clarify the relative importance of stratiform and convective precipitation during EPEs, and elucidate if EPEs with strong convective precipitation are forced by atmospheric instabilities, advection of moisture being lifted by the complex terrain, or moisture convergence occurring over the ocean and moving inland. These results will provide the basis for future efforts looking to improve precipitation forecasting tools.