Search Results - Spectral and related methods applied to problems in solid mechanics

A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics by Taylor, G. A., Bailey, C., Cross, M.

“…‐static solid mechanics problems involving material non‐linearity and infinitesimal strains…”
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A new approach for the Modified Local Green’s Function Method applied to solid mechanics problems by Corrêa, Ramon Macedo, Arndt, Marcos, Machado, Roberto Dalledone

“… or a Green’s function, since projections of Green’s functions, determined by Finite Element Method, are used as fundamental solution to solve problems…”
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Guided waves in structures for SHM: the time - domain spectral element method by Ostachowicz, Wieslaw, Kudela, Pawel, Krawczuk, Marek, Zak, Arkadiusz

“…Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields…”
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A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation by Dalmora, André, Imperiale, Alexandre, Imperiale, Sebastien, Moireau, Philippe

“… is a complicated task that requires quantitative data and the associated modeling effort. In our work, we propose a set of numerical tools to solve the problem of mechanical wave propagation in materials subjected to pre-deformation…”
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Certain numerical issues of wave propagation modelling in rods by the Spectral Finite Element Method by Żak, A., Krawczuk, M.

“…In the presented work various problems related with the accuracy of wave propagation modelling by the use of the Spectral Finite Element Method have been discussed and investigated…”
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Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states by Gamba, Irene M., Tharkabhushanam, Sri Harsha

“…We propose a new spectral Lagrangian based deterministic solver for the non-linear Boltzmann transport equation (BTE…”
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An efficient numerical method for solving the Boltzmann equation in multidimensions by Dimarco, Giacomo, Loubère, Raphaël, Narski, Jacek, Rey, Thomas

“… The scheme combines a robust and fast method for treating the transport part based on an innovative Lagrangian technique supplemented with conservative fast spectral schemes to treat the collisional…”
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Elimination of end effects in empirical mode decomposition by mirror image coupled with support vector regression by Lin, Da-Chao, Guo, Zhang-Lin, An, Feng-Ping, Zeng, Fan-Lei

“…The treatment of end effects is one of the most important open problems related to the EMD…”
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Nondestructive Evaluation of Drilled Shaft Construction Anomalies Using Full Waveform Tomography of Simulated Crosshole Measurements by Kordjazi, Alireza, Coe, Joseph T., Afanasiev, Michael

“…Construction of drilled shafts for transportation infrastructure presents quality assurance challenges related to structural anomalies, including voids and degraded concrete…”
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Numerical solutions of strain localization with nonlocal softening plasticity by Lu, Xilin, Bardet, Jean-Pierre, Huang, Maosong

“…Softening plasticity, when it is deprived of a characteristic length, often leads to boundary value problems that are ill-posed and produce unreliable numerical solutions…”
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Momentum‐based approximation of incompressible multiphase fluid flows by Cappanera, Loïc, Guermond, Jean‐Luc, Herreman, Wietze, Nore, Caroline

“… The main advantage of this approach is that the mass matrix is time‐independent making this technique suitable for spectral methods…”
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2D elastic plane-wave diffraction by a stress-free wedge of arbitrary angle by Chehade, Samar, Darmon, Michel, Lebeau, Gilles

“…•A new model is proposed for 2D elastic wave diffraction by a stress-free wedge.•The developed spectral functions method is valid for any wedge angle…”
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Resolving the stratification discrepancy of turbulent natural convection in differentially heated air-filled cavities – Part I: Reference solutions using Chebyshev spectral methods by Sergent, Anne, Xin, Shihe, Joubert, Patrice, Le Quéré, Patrick, Salat, Jacques, Penot, François

“…► Spectral 3D DNS results are presented for turbulent differentially heated cavity…”
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A high-order multiscale finite-element method for time-domain acoustic-wave modeling by Gao, Kai, Fu, Shubin, Chung, Eric T.

“…, our new method constructs high-order multiscale basis functions from local elliptic problems which are closely…”
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Multifunctional composite dressings based on Bletilla striata polysaccharide and zeolite for rapid hemostatic and accelerated wound healing by Zhu, Bingqi, Cheng, Wen, Zhao, Kai, Hu, Zhengbo, Zhou, Fangmei, Zhou, Mingyuan, Qian, Chaodong, Ding, Zhishan

“… Based on the above problems, Bletilla striata polysaccharides (BSP)-based spongy dressings incorporated with zeolite were developed in this study…”
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Numerical solution of spectral stochastic finite element systems by Ghanem, Roger G., Kruger, Robert M.

“… A brief review is first provided of the underlying spectral approach which highlights the peculiar structure of the matrices generated and how their properties are related to both the…”
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Synchronous Raman Spectroscopy Method for Measuring Strain-Charge Information of Graphene Materials by Hong, C., Song, H., Kang, Y., Xie, H., Qiu, W., Du, H., Han, B.

“…Background How to obtain deformation and charge information through in situ measurement of nanomaterial devices is a new and challenging problem, which are related in performance design and failure prevention…”
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Construction of weighted crystallographic orientations capturing a given orientation density function by Schaeben, Helmut, Bachmann, Florian, Fundenberger, Jean-Jacques

“… of the first Fourier coefficients up to a given finite order. Methods are presented how to construct a much smaller set of weighted orientations such that their kernel density estimate approximates the initial estimate…”
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Effects of Hall current and permeability on the stability of peristaltic flow by Mekheimer, Kh. S., Shankar, B. M., Abo-Elkhair, R. E.

“… These micro-flow systems can circulate heat-transfer fluids over silicon chips, reconstitute dried drugs and possibly synthesize chemicals from liquid to solid constituents…”
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Dissipative Structures of Marangoni Convection in a Thin Layer of liquid with Lattice of Localized and Continuously Distributed Heat Sources and Sinks by Wertgeim, Igor I., Sharifulin, Vadim A., Sharifulin, Albert N.

“…The three-dimensional solutions of nonlinear long-wavelength approximations for the problem of Marangoni convection in a thin horizontal layer of a viscous incompressible fluid with a free surface is being considered…”
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