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This note deals with stiffness tensors measured from anisotropic linear elastic materials, whose symmetry is unknown. Their possible symmetries (exact or approximative) are revealed by a pole figure. An intrinsic function allows one to…

Classical Physics · Physics 2010-01-14 Marc Louis Maurice François , Yves Berthaud , Giuseppe Geymonat

For most materials, the symmetry group is known a priori and deduced from the realization process. This allows many simplifications for the measurements of the stiffness tensor. We deal here with the case where the symmetry is a priori…

Classical Physics · Physics 2009-11-30 Marc Louis Maurice François , Giuseppe Geymonat , Yves Berthaud

Resonant ultrasound spectroscopy (RUS) is a powerful technique for measuring the full elastic tensor of a given material in a single experiment. Previously, this technique was limited to regularly-shaped samples such as rectangular…

An ultrasound measurement system was employed as a non-destructive method to evaluate its reliability in predicting the tensile strength of tablets and investigate the benefits of incorporating it in a continuous line, manufacturing solid…

Soft Condensed Matter · Physics 2016-04-29 Sonia M. Razavi , Gerardo Callegari , German Drazer , Alberto M. Cuitiño

This work aims to improve our understanding of the resonance wood and to investigate the interactions between their physical-mechanical properties, natural variability, and the violin makers' ways of choosing their materials. In order to…

Classical Physics · Physics 2019-03-01 Capucine Carlier , Ahmad Alkadri , Joseph Gril , Iris Brémaud

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

Statistical Mechanics · Physics 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

Resonance ultrasound spectroscopy (RUS) is a non-destructive technique for evaluating elastic and an-elastic material properties. The frequencies of free vibrations for a carefully crafted sample are measured, and material properties can be…

Materials Science · Physics 2021-08-11 Christopher L Sevigney , Onome E. Scott-Emuakpor , Farhad Farzbod

Elastoresistivity, the relation between resistivity and strain, can elucidate subtle properties of the electronic structure of a material and is an increasingly important tool for the study of strongly correlated materials. To date,…

Under mechanical deformation, most materials exhibit both elastic and fluid (or plastic) responses. No existing formalism derived from microscopic principles encompasses both their fluid-like and solid-like aspects. We define the {\it…

Soft Condensed Matter · Physics 2007-05-23 Miguel Aubouy , Yi Jiang , James A. Glazier , François Graner

Brillouin light scattering spectroscopy (BLS) is applied to study the micromechanics of cellulosic viscose fibers, one of the commercially most important, man-made biobased fibers. Using an equal angle scattering geometry, we provide a…

The issue of how to define and determine an optimal acoustical fit to a set of anisotropic elastic constants is addressed. The optimal moduli are defined as those which minimize the mean squared difference in the acoustical tensors between…

Materials Science · Physics 2007-05-23 Andrew N. Norris

The alternating earlywood and latewood growth ring structure has a strong influence on the mechanical performance of Norway spruce. In the current study, tensile tests in the longitudinal and tangential directions were performed on a series…

Materials Science · Physics 2015-09-15 Christian Lanvermann , Philipp Hass , Falk K. Wittel , Peter Niemz

Third-order elastic coefficients (TOECs) have been measured experimentally and tabulated with pretty good accuracy since the middle of the previous century. In the classical acoustic measurement method the recalculation of instantaneous…

Computational Physics · Physics 2018-09-12 Paweł Dłużewski , Marcin Maździarz , Piotr Tauzowski

Spatial symmetries and invariances play an important role in the behaviour of materials and should be respected in the description and modelling of material properties. The focus here is the class of physically symmetric and positive…

Numerical Analysis · Mathematics 2024-02-12 Sharana Kumar Shivanand , Bojana Rosić , Hermann G. Matthies

Acoustic fields scattered by poroelastic materials contain key information about the materials' pore structure and elastic properties. Therefore, such materials are often characterised with inverse methods that use acoustic measurements.…

Computational Physics · Physics 2019-05-22 Matti Niskanen , Olivier Dazel , Jean-Philippe Groby , Aroune Duclos , Timo Lähivaara

Wood's increasing role as a structural resource in sustainable materials selection demands accurate characterization of its mechanical behavior. Its performance arises from a hierarchical structure, where the dominant load-bearing component…

Biological Physics · Physics 2025-06-16 Júlio O. Amando de Barros , Jakob Schwiedrzik , Falk K. Wittel

Execution of Resonant Ultrasound Spectroscopy (RUS) for accurate measurement of elastic constants lies primarily on a perfect matching in the calculated and measured mode frequencies of free vibration. Calculation of these frequencies…

Materials Science · Physics 2019-02-27 Barnana Pal

When assessing the strength of sawn lumber for use in engineering applications, the sizes and locations of knots are an important consideration. Knots are the most common visual characteristics of lumber, that result from the growth of tree…

Applications · Statistics 2023-02-16 Shuxian Fan , Samuel W. K. Wong , James V. Zidek

A set of 55 clarinet reeds is observed by holography, collecting 2 series of measurements made under 2 different moisture contents, from which the resonance frequencies of the 15 first modes are deduced. A statistical analysis of the…

Classical Physics · Physics 2014-05-07 Pierre-André Taillard , Franck Laloë , Michel Gross , Jean-Pierre Dalmont , Jean Kergomard

Ultrasound has long been used as a non-destructive tool to test for the brittle fracture of materials. Could it be used as a similar tool to test for ductile failure? This study reports results of local measurements of the speed of shear…

Materials Science · Physics 2015-08-11 Vicente Salinas , Fernando Lund , Nicolás Mujica , Rodrigo Espinoza-González
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