951 resultados para Nonlocal plate equation


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Hybrid Composite Plate (HCP) is a reliable recently proposed retrofitting solution for concrete structures, which is composed of a strain hardening cementitious composite (SHCC) plate reinforced with Carbon Fibre Reinforced Polymer (CFRP). This system benefits from the synergetic advantages of these two composites, namely the high ductility of SHCC and the high tensile strength of CFRPs. In the materialstructural of HCP, the ultra-ductile SHCC plate acts as a suitable medium for stress transfer between CFRP laminates (bonded into the pre-sawn grooves executed on the SHCC plate) and the concrete substrate by means of a connection system made by either chemical anchors, adhesive, or a combination thereof. In comparison with traditional applications of FRP systems, HCP is a retrofitting solution that (i) is less susceptible to the detrimental effect of the lack of strength and soundness of the concrete cover in the strengthening effectiveness; (ii) assures higher durability for the strengthened elements and higher protection to the FRP component in terms of high temperatures and vandalism; and (iii) delays, or even, prevents detachment of concrete substrate. This paper describes the experimental program carried out, and presents and discusses the relevant results obtained on the assessment of the performance of HCP strengthened reinforced concrete (RC) beams subjected to flexural loading. Moreover, an analytical approach to estimate the ultimate flexural capacity of these beams is presented, which was complemented with a numerical strategy for predicting their load-deflection behaviour. By attaching HCP to the beams’ soffit, a significant increase in the flexural capacity at service, at yield initiation of the tension steel bars and at failure of the beams can be achieved, while satisfactory deflection ductility is assured and a high tensile capacity of the CFRP laminates is mobilized. Both analytical and numerical approaches have predicted with satisfactory agreement, the load-deflection response of the reference beam and the strengthened ones tested experimentally.

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In this work we provide a new mathematical model for the Pennes’ bioheat equation, assuming a fractional time derivative of single order. Alternative versions of the bioheat equation are studied and discussed, to take into account the temperature-dependent variability in the tissue perfusion, and both finite and infinite speed of heat propagation. The proposed bioheat model is solved numerically using an implicit finite difference scheme that we prove to be convergent and stable. The numerical method proposed can be applied to general reaction diffusion equations, with a variable diffusion coefficient. The results obtained with the single order fractional model, are compared with the original models that use classical derivatives.

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In this work we develop a new mathematical model for the Pennes’ bioheat equation assuming a fractional time derivative of single order. A numerical method for the solu- tion of such equations is proposed, and, the suitability of the new model for modelling real physical problems is studied and discussed

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In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term. The two methods are the implicit numerical scheme presented in [M.L. Morgado, M. Rebelo, Numerical approximation of distributed order reaction- diffusion equations, Journal of Computational and Applied Mathematics 275 (2015) 216-227] that is adapted to our type of equation, and a colocation method where Chebyshev polynomials are used to reduce the fractional differential equation to a system of ordinary differential equations

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Tese de Doutoramento em Engenharia Civil

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En la investigación anterior -en la zona pampeana de la Provincia de Córdoba- se demostró teórica y empíricamente, que el desarrollo de la Sociedad Civil muchas veces libradas a su suerte y con limitaciones legales apoyan decididamente el desarrollo local, sin embargo han logrado solo parcialmente sus objetivos, por lo que es necesario comenzar un camino de fortalecimiento en los nuevos roles que deben asumir. Los gobiernos locales, a la vez, intentan trabajosamente con contados éxitos detener el procesos de descapitalización social -financiera y humana- de sus comunidades locales y regionales, peregrinando con escaso éxito a los centros concentrados del poder político y económico, para procurar los recursos financieros y humanos necesarios que no alcanzan a reponer los que se fugan desde hace décadas de sus localidades. Las empresas, con ciclos recurrentes de crecimiento y decrecimiento vinculados a los mercados en que colocan sus productos, también se debaten en la búsqueda de los escasos recursos, financieros y humanos, que les permitan consolidar un desarrollo a mediano y largo plazo. El desarrollo alcanzado en Sistemas de información, instrumentos de relevamiento, análisis y elaboración de propuestas para el Desarrollo Local, nos permite avanzar en: 1. La confirmación empírica de las hipótesis iniciales - factores exógenos y endógenos - en la zona Norte y Serrana de la provincia 2. La validación científica -mediante el Análisis de ecuaciones estructurales. de tales supuestos, para el conjunto de las poblaciones analizadas en ambas etapas. 3. La identificación de los problemas normativos que afectan el desarrollo de las Organizaciones de la Sociedad Civil (OSC). METODOLOGÍA Respecto la validación empírica en la zona norte y serrana 1. Selección de las 4 localidades a relevar de acuerdo a las categorías definidas 2. Elaboración de acuerdos con autoridades e instituciones locales. 3. Relevamiento cualitativo con líderes locales y fuentes de datos secundarias. 4. Adaptación de instrumentos de relevamiento a las realidades locales y estudios previos 5. Relevamiento cuantitativo de campo, capacitación de encuestadores y supervisores. 6. Procesamiento y elaboración de informes finales locales. Respecto de la construcción de modelos de desarrollo 1. Desarrollar las dimensiones especificas y las variables (items) de cada factor crítico. 2. Revisar el instrumento con expertos de cada una de las dimensiones. 3. Validar a nivel exploratorio por medio de un Análisis de Componentes Principales 4. Someter a los expertos la evaluación de una serie de localidades que representan cada uno. Respecto de la identificación de las normas legales que afectan a la Sociedad Civil 1.Relevamiento documental de normas 2. Relevamiento con líderes de instituciones de la Sociedad Civil 3. Análisis de las normas vigentes 4. Elaboración de Informes Finales y Transferencia a líderes e instituciones

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Background: The equations predicting maximal oxygen uptake (VO2max or peak) presently in use in cardiopulmonary exercise testing (CPET) softwares in Brazil have not been adequately validated. These equations are very important for the diagnostic capacity of this method. Objective: Build and validate a Brazilian Equation (BE) for prediction of VO2peak in comparison to the equation cited by Jones (JE) and the Wasserman algorithm (WA). Methods: Treadmill evaluation was performed on 3119 individuals with CPET (breath by breath). The construction group (CG) of the equation consisted of 2495 healthy participants. The other 624 individuals were allocated to the external validation group (EVG). At the BE (derived from a multivariate regression model), age, gender, body mass index (BMI) and physical activity level were considered. The same equation was also tested in the EVG. Dispersion graphs and Bland-Altman analyses were built. Results: In the CG, the mean age was 42.6 years, 51.5% were male, the average BMI was 27.2, and the physical activity distribution level was: 51.3% sedentary, 44.4% active and 4.3% athletes. An optimal correlation between the BE and the CPET measured VO2peak was observed (0.807). On the other hand, difference came up between the average VO2peak expected by the JE and WA and the CPET measured VO2peak, as well as the one gotten from the BE (p = 0.001). Conclusion: BE presents VO2peak values close to those directly measured by CPET, while Jones and Wasserman differ significantly from the real VO2peak.

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We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic thermostat by means of the contractivity of a suitable metric in the set of probability measures. Existence, uniqueness, boundedness of moments and regularity of a steady state are derived from this basic property. The solutions of the kinetic model are proved to converge exponentially as t→ ∞ to this diffusive equilibrium in this distance metrizing the weak convergence of measures. Then, we prove a uniform bound in time on Sobolev norms of the solution, provided the initial data has a finite norm in the corresponding Sobolev space. These results are then combined, using interpolation inequalities, to obtain exponential convergence to the diffusive equilibrium in the strong L¹-norm, as well as various Sobolev norms.

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In this paper we study one-dimensional reflected backward stochastic differential equation when the noise is driven by a Brownian motion and an independent Poisson point process when the solution is forced to stay above a right continuous left-hand limited obstacle. We prove existence and uniqueness of the solution by using a penalization method combined with a monotonic limit theorem.

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"Vegeu el resum a l'inici del document del fitxer adjunt."

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We consider a delay differential equation with two delays. The Hopf bifurcation of this equation is investigated together with the stability of the bifurcated periodic solution, its period and the bifurcation direction. Finally, three applications are given.

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