Constant Strain Frequency Sweep Measurements on Granite Rock

One of the most important sections of nonlinear wave theory is related to the collisions of single pulses. These often exhibit corpuscular properties. For example, it is well known that solitons described by the Korteweg-de Vries equation and a few other conservative model equations exhibit properties of elastic particles, while shock waves described by dissipative models like Burgers' equation stick together as absolutely inelastic particles when colliding. The interactions of single pulses in media with modular nonlinearity considered here reveal new physical features that are still poorly understood. There is an analogy between the single pulses collision and the interaction of clots of chemical reactants, such as fuel and oxidant, where the smaller component disappears and the larger one decreases after a reaction. At equal "masses" both clots can be annihilated. In this work various interactions of two and three pulses are considered. The conditions for

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“…This tendency of nonlinear decrease of resonator natural frequency was observed experimentally [12][13][14].…”

Section: Introductionmentioning

confidence: 76%

Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium

Hedberg

Руденко

2017

Nonlinear Dyn

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“…For example, it can be used to evaluate and compare different mechanisms of losses of highintensity vibrations and waves. It can support also one of the frontiers of applied studies, namely, the nonlinear nondestructive testing of materials displaying unusual behavior like slow dynamics, 23,24 by measuring typical times of linear and nonlinear relaxation and dynamic strength. Detailed comparisons between this theory and experimental data will be performed and published later.…”

Section: Discussionmentioning

confidence: 99%

“…The increase in absorption at large values of D is described by Eq. (24). But, it is correct only when the duration of shock front is small in comparison with the period of acoustic oscillation.…”

Section: Substitution Of Eqs (18) and (19) Into Formula (3) It Is Rmentioning

confidence: 99%

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Dissipative and hysteresis loops as images of irreversible processes in nonlinear acoustic fields

Hedberg

Руденко

2011

Journal of Applied Physics

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Irreversible processes taking place during nonlinear acoustic wave propagation are considered using a representation by loops in a thermodynamic parameter space. For viscous and heat conducting media, the loops are constructed for quasi-harmonic and sawtooth waves and the descriptive equations are formulated. The linear and nonlinear absorptions are compared. For relaxing media, the processes are frequency-dependent. The loops broadens, narrows, and bends. The linear and nonlinear relaxation losses of wave energy are shown. Residual stresses and irreversible strains appear for hysteretic media, and here, a generalization of Rayleigh loops is pictured which takes into account the nonlinearly frequency-dependent hereditary properties. These describe the dynamic behavior, for which new equations are derived.

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“…In other cases, the testing protocol was designed to isolate the slow dynamic effect from fast hysteresis motion. Haller and Hedberg (Haller & Hedberg, 2008) used a constant strain frequency sweep measurement, and compared the results with the constant force frequency sweep, although the method allows disentangling the material conditioning effect. In a second study, Haller and Hedberg (Haller & Hedberg, 2012) applied a high strain amplitude input at the resonant frequency during 30 minutes in order to induce a material conditioning; thereafter the material nonlinearity was probed at low strain levels for short periods of time at a discrete time 0.2 into the resonator, alternated with 5 seconds of high strain conditioning and so on, in order to determine the resonant frequency.…”

Section: -22mentioning

confidence: 99%

Studies on nonlinear mechanical wave behavior to characterize cement based materials and its durability

Fernández¹,

Nuno²

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Studies on nonlinear mechanical wave behavior to characterize cement based materials and its durability "Estudio del comportamiento no lineal de ondas mecánicas para la caracterización de materiales basados en cemento y su durabilidad" July 2016Autor: Jesús Nuño Eiras Fernández Directores:Jordi Payá Bernabeu John S. PopovicsQuiero expresar mi agradecimiento a mi tutor Jordi Payá por sus acertadas directrices durante la elaboración de esta tesis, por haberme dado la oportunidad de trabajar en este proyecto e iniciarme en la carrera investigadora. Extiendo este agradecimiento al resto del equipo: Mercedes Bonilla, Victoria Borrachero, José Monzó, Ana Mellado y Lourdes Soriano, que con su buen hacer han contribuido a la construcción de un grupo de reconocido prestigio. A mis compañeros con los que he compartido horas en las aulas, laboratorio, y en discusiones de diferente índole: Mauro Tashima (el Special thanks are given to Tribikram Kundu who actively collaborated during the course of this project, and for advice and helpful discussions during the analysis of experimental results. Also, for hosting me during a short stay at University of Arizona.Also thanks are given to Umar Amjad, Ehsan Mahmoudabadi, Ajoy Kumar Das, and Abdullah Al-Hussein for good friendship and helpful discussions during my stay at UA.Special thanks are also given to John S. Popovics, for helpful advice and guidance, and for thoughtful discussions during the course of the PhD. Also, for hosting me and supervising my work at University of Illinois at Urbana-Champaign. I want to extend these thanks to those with whom I shared time in the laboratory at UIUC, preparing samples, No voy a olvidar en estas últimas líneas a mi familia. A mis hermanos Juan y Bárbara, y mis sobrinos Bárbara y Xosé. A Sandra quien ha sido mi apoyo en las buenas y en las malas. Por último, voy a dedicar la tesis a mi madre quien me ha apoyado de forma incondicional y se ha esforzado para ofrecerme siempre lo mejor, y a mi padre, a quien siempre está presente en mi corazón y sé que está conmigo en todo momento.[…] Ring the bells that still can ring, Forget your perfect offeringThere is a crack in everything That's how the light gets in.from Anthem, Leonard Cohen. ResumenLas construcciones de hormigón deben ser diseñadas para perdurar en el tiempo manteniendo su integridad mecánica y sus condiciones de servicio durante la vida útil para la que han sido proyectadas. A este respecto, la evaluación del hormigón y sus constituyentes tanto en laboratorio como en ensayos in situ es, por tanto, esencial para garantizar las condiciones de servicio requeridas al hormigón. El ensayo de determinación de las frecuencias de resonancia ha sido tradicionalmente empleado para determinar la integridad mecánica de testigos de hormigón, en la evaluación de la conformidad de mezclas de hormigón en diversos ensayos de durabilidad, y en la terminación de propiedades constitutivas como son el módulo elástico y el factor de amortiguamiento. Las condiciones del ensayo de determinación de las frec...

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Constant Strain Frequency Sweep Measurements on Granite Rock

Cited by 15 publications

References 8 publications

Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium

Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium

Dissipative and hysteresis loops as images of irreversible processes in nonlinear acoustic fields

Studies on nonlinear mechanical wave behavior to characterize cement based materials and its durability

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