Relevant bibliographies by topics / Free-discontinuity energie

Academic literature on the topic 'Free-discontinuity energie'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Free-discontinuity energie"

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Focardi, Matteo, and Maria Stella Gelli. "Relaxation of free-discontinuity energies with obstacles." ESAIM: Control, Optimisation and Calculus of Variations 14, no. 4 (February 7, 2008): 879–96. http://dx.doi.org/10.1051/cocv:2008014.

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AMAR, M., V. DE CICCO, and N. FUSCO. "LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES." Mathematical Models and Methods in Applied Sciences 20, no. 05 (May 2010): 707–30. http://dx.doi.org/10.1142/s0218202510004416.

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We establish new lower semicontinuity results for energy functionals containing a very general volume term of polyconvex type and a surface term depending on the spatial variable in a discontinuous way.
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ALICANDRO, ROBERTO, and MATTEO FOCARDI. "VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH." Communications in Contemporary Mathematics 04, no. 04 (November 2002): 685–723. http://dx.doi.org/10.1142/s0219199702000816.

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We provide a variational approximation for quasiconvex energies with linear growth, defined on vector valued generalized functions with bounded variation, in the framework of free-discontinuity problems.
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Alicandro, R., and M. S. Gelli. "Free discontinuity problems generated by singular perturbation: the n−dimensional case." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 130, no. 3 (June 2000): 449–69. http://dx.doi.org/10.1017/s030821050000024x.

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We provide an approximation of some free discontinuity problems by local functionals with a singular perturbation of higher order. More precisely, we study the limiting behaviour of energies of the form where Hu denotes the Hessian matrix of u.
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FOCARDI, M. "ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE." Mathematical Models and Methods in Applied Sciences 11, no. 04 (June 2001): 663–84. http://dx.doi.org/10.1142/s0218202501001045.

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We provide a variational approximation for quasiconvex energies defined on vector valued special functions with bounded variation. We extend the Ambrosio–Tortorelli's construction to the vectorial case.
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Lussardi, Luca. "An approximation result for free discontinuity functionals by means of non-local energies." Mathematical Methods in the Applied Sciences 31, no. 18 (December 2008): 2133–46. http://dx.doi.org/10.1002/mma.1019.

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RATHORE, M. K., S. B. SHRIVASTAVA, V. RATHORE, K. P. JOSHI, and V. K. GUPTA. "POSITRON ANNIHILATION AT POLYMERIC SURFACES." Surface Review and Letters 11, no. 01 (February 2004): 41–48. http://dx.doi.org/10.1142/s0218625x04005822.

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The mechanism of slow positron annihilation at polymeric surfaces has been discussed in terms of positron diffusion at the surface and trapping of positrons and positronium in free volume holes. The one-dimensional diffusion equation has been solved and the rate equations have been set up to describe the various processes supposed to occur when a thermalized positron encounters the polymeric surface. The model has been used to calculate the Doppler broadening of the line shape parameter (S parameter) in polyurethane and polystyrene as a function of incident positron energy and temperature. The results have been compared with the available experimental data. The S parameter vs temperature curves show a remarkable discontinuity at the glass transition temperature (Tg). Large variation in the S parameter has been observed at low energies, suggesting a significant structure of free volume holes near the surface.
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Novick-Cohen, Amy. "A singular minimization problem for droplet profiles." European Journal of Applied Mathematics 4, no. 4 (December 1993): 399–418. http://dx.doi.org/10.1017/s0956792500001200.

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A minimization problem for partially wetting droplet profiles is considered, in which Van der Waal's forces have been taken into account via a singular ‘disjoining pressure’. When the singular disjoining pressure is neglected, energy minimization leads to Laplace's equation and Young's equation; once the singular disjoining pressure is included, this is no longer the case. Indeed, the free energy is no longer bounded from below. Introducing the notion of overtaking to compare the energies of configurations whose energies are arbitrarily large and negative, we demonstrate that if a configuration is not convex then it cannot be an absolute minimizer. If profiles are allowed to ‘double-over’ then there does not exist an absolute minimizer. Within the class of profiles which do not double-over, absolute minimizers are shown to exist; these minimizing profiles are not single-valued. The singular minimization problem is shown to be discontinuously dependent on the definition of the wetting profile in the neighbourhood of the contact points; the implications of this discontinuity are discussed.
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Artini, Cristina, Sabrina Presto, Sara Massardo, Marcella Pani, Maria Maddalena Carnasciali, and Massimo Viviani. "Transport Properties and High Temperature Raman Features of Heavily Gd-Doped Ceria." Energies 12, no. 21 (October 30, 2019): 4148. http://dx.doi.org/10.3390/en12214148.

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Transport and structural properties of heavily doped ceria can reveal subtle details of the interplay between conductivity and defects aggregation in this material, widely studied as solid electrolyte in solid oxide fuel cells. The ionic conductivity of heavily Gd-doped ceria samples (Ce1−xGdxO2−x/2 with x ranging between 0.31 and 0.49) was investigated by impedance spectroscopy in the 600–1000 K temperature range. A slope change was found in the Arrhenius plot at ~723 K for samples with x = 0.31 and 0.34, namely close to the compositional boundary of the CeO2-based solid solution. The described discontinuity, giving rise to two different activation energies, points at the existence of a threshold temperature, below which oxygen vacancies are blocked, and above which they become free to move through the lattice. This conclusion is well supported by Raman spectroscopy, due to the discontinuity revealed in the Raman shift trend versus temperature of the signal related to defects aggregates which hinder the vacancies movement. This evidence, observable in samples with x = 0.31 and 0.34 above ~750 K, accounts for a weakening of Gd–O bonds within blocking microdomains, which is compatible with the existence of a lower activation energy above the threshold temperature.
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SAHAKYAN, D. B. "ON THE BEHAVIOR OF STATISTICAL SUM OF A MODEL WITH YANG–LEE SINGULARITY NEAR CRITICAL POINT." Modern Physics Letters A 07, no. 01 (January 10, 1992): 21–23. http://dx.doi.org/10.1142/s0217732392003384.

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An one-matrix model of singularities on the torus has been investigated. We calculate the value of discontinuity of free energy asymptotics which tends to an infinity number of lattice sites at the critical point.
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Dissertations / Theses on the topic "Free-discontinuity energie"

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FOCARDI, MATTEO. "Variational approximation of vectorial free-discontinuity problems: the discrete and continuous case." Doctoral thesis, 2002. http://hdl.handle.net/2158/344579.

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Conference papers on the topic "Free-discontinuity energie"

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Novelli, Nico, Stefano Lenci, and Pierpaolo Belardinelli. "Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-66831.

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Abstract We present an efficient data-driven sparse identification of dynamical systems. The work aims at reconstructing the different sets of governing equations and identify discontinuity surfaces in hybrid systems when the number of discontinuities is known a priori. In our approach, we first focus to identify the switches between the separate vector fields. Then, the dynamics among the manifolds are regressed by making use of the model discovery algorithm of Brunton et al. [1]. The reconstruction of the discontinuity surfaces comes as the outcome of a statistical analysis implemented via symbolic regression with small clusters (micro-clusters) and a rigid library of models. This allows to identify all the many possible switch points that are clustered to determine the actual discontinuity surfaces. The performances of the method are tested on two numerical examples, namely, a canonical spring–mass hopper and a free/impact electromagnetic energy harvester. These applications are characterized by the presence of a single and double discontinuity, respectively. The analyses demonstrate that in the supervised approach, i.e. where the number of discontinuities is preassigned, we are capable to determine accurately both discontinuities and set of governing equations. It is found a great improvement in time of computation reaching the maximum achievable reliability that outperform existing data-driven identification approaches for hybrid systems.
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Kimiaei, Mehrdad, Mohsen Ali Shayanfar, M. Hesham El Naggar, and Ali Akbar Aghakouchak. "Non Linear Seismic Pile Soil Structure Interaction Analysis of Piles in Offshore Platforms." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51006.

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Pile supported offshore platforms in seismically active areas should be designed to survive severe earthquake excitations with no global structural failure. It is often required to perform nonlinear seismic analysis of offshore platforms that accounts for soil nonlinearity, discontinuity condition at pile soil interfaces, energy dissipation through soil radiation damping and structural nonlinear behaviours of the piles. In this study a BNWF (Beam on Nonlinear Winkler Foundation) model is incorporated into a finite element program (ANSYS) and it is used to compute the lateral response of piles subjected to seismic loading. The soil stiffness is established using the P-Y curve. The results of equivalent linear earthquake free field ground motion analyses are used as the input excitations at support nodes of the model. The components and advantages of this practical ANSYS model in seismic pile soil structure interaction analyses are discussed and addressed in detail. Computed responses compared well with the experimental test results. Sensitivity of the results to model parameters and site response calculations are evaluated.
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