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This paper presents a Finite Element Model Updating framework for identifying heterogeneous material distributions in planar Bernoulli-Euler beams based on a rotation-free isogeometric formulation. The procedure follows two steps: First,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Bartłomiej Łazorczyk , Roger A. Sauer

Recently, there has been plenty of work in designing and fabricating materials with an effective negative refractive index. Veselago realized that a slab of material with a refractive index of -1 would act as a lens. Pendry suggested that…

Optimization and Control · Mathematics 2008-03-11 David C. Dobson , Lyubima B. Simeonova

The development of materials with specific structural properties is of huge practical interest, for example, for medical applications or for the development of light weight structures in aeronautics. In this article, we combine shape…

Numerical Analysis · Mathematics 2021-06-01 Helmut Harbrecht , Michael Multerer , Remo von Rickenbach

Anisotropic fluid materials are of growing interest with the development of metamaterials and transformation acoustics. In the general three-dimensional case, such materials are characterized by a bulk modulus and a full symmetric matrix of…

Based on luminosity contributions, we develop a spectroscopic modelling method to derive atmospheric parameters of component stars in binary systems. The method is designed for those spectra of binaries which show double-lined features due…

Solar and Stellar Astrophysics · Physics 2023-03-15 Xiang-Lei Chen , A-Li Luo , Jian-Jun Chen , Rui Wang , Xiao-Bin Zhang , Wen Hou , Bo Qiu , Fang Zuo

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

Materials Science · Physics 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

This study is concerned with the design of a Mueller imaging polarimeter for the visualization of spatially-varying Mueller matrix fields. A simplified calibration procedure is advocated, where all the optical elements are calibrated…

Instrumentation and Detectors · Physics 2018-11-08 Yvain Quéau , Florian Leporcq , Ayman Alfalou

In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the…

Numerical Analysis · Mathematics 2016-12-20 Wolf-Patrick Düll , Bastian Hilder , Guido Schneider

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

The accurate and efficient computation of the electromagnetic response of objects made from artificial materials is crucial for designing photonic functionalities and interpreting experiments. Advanced fabrication techniques can nowadays…

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

An efficient electro-optical modulation has been demonstrated here by using an edge plasmon mode specific for the hybrid plasmonic waveguide. Our approach addresses a major obstacle of the integrated microwave photonics caused by the…

A unified homogenization procedure for split ring metamaterials taking into account time and spatial dispersion is introduced. The procedure is based on two coupled systems of equations. The first one comes from an approximation of the…

Optics · Physics 2014-09-10 J. D. Baena , L. Jelinek , R. Marques , M. Silveirinha

Depolarization dyadics play a central role in theoretical studies involving scattering from small particles and homogenization of particulate composite materials. Closed-form expressions for depolarization dyadics have been developed for…

Optics · Physics 2025-04-08 Tom G. Mackay , Akhlesh Lakhtakia

This article is the first part of a two-fold study, the objective of which is the theoretical analysis and numerical investigation of new approximate corrector problems in the context of stochastic homogenization. We present here three new…

Numerical Analysis · Mathematics 2018-07-16 Eric Cancès , Virginie Ehrlacher , Frederic Legoll , Benjamin Stamm , Shuyang Xiang

We have developed a numerical method for calculating the second harmonic generation (SHG) generated by an anisotropic material whose optical properties present an arbitrary modulation in one dimension. The method is based on the Berreman…

Optics · Physics 2023-05-31 J. Ortega , C. L. Folcia , J. Etxebarria

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refined discretizations. To circumvent the need to generate…

Numerical Analysis · Mathematics 2022-12-05 Mathias Schmidt , Lise Noel , Keenan Doble , John A. Evans , Kurt Maute

Light-matter interactions within indoor environments are significantly depolarizing. Nonetheless, the relatively small polarization attributes are informative. To make use of this information, polarized-BRDF (pBRDF) models for common indoor…

Optics · Physics 2023-07-25 Quinn Jarecki , Meredith Kupinski

Calibration weighting is a fundamental technique in survey sampling and data integration for incorporating auxiliary information and improving efficiency of estimators. Classical calibration methods are typically formulated through distance…

Methodology · Statistics 2026-03-24 Jae Kwang Kim , Yonghyun Kwon , Yumou Qiu