Waves in Linear Elastic Media with Microrotations, Part 1: Isotropic Full Cosserat Model

Grekova, Elena F.; Kulesh, M.; Herman, Gérard C.

doi:10.1785/0120080152

Cited by 22 publications

(11 citation statements)

References 15 publications

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“…The two short notes by Kulesh (2009) and by investigate the consequences of a Cosserat continuum on the problem of wave propagation. In an isotropic full Cosserat model, Kulesh (2009) finds that Rayleigh and transverse surface waves are dispersive in a half-space.…”

Section: Articles and Short Notesmentioning

confidence: 99%

“…In an isotropic full Cosserat model, Kulesh (2009) finds that Rayleigh and transverse surface waves are dispersive in a half-space. investigate the reduced Cosserat model in which translations and rotations are kinematically independent, but the couple stress tensor is zero.…”

Section: Articles and Short Notesmentioning

confidence: 99%

“…The Cosserat theory is of particular interest to rotational seismology because it includes rotation in its formulation; see, for example, the tutorial by Pujol (2009) and the two articles by Kulesh (2009) and . Other general continua, such as asymmetric continuum, are discussed by Teisseyre and Górski (2009) …”

Section: Classical Elasticity Versus Other Theoriesmentioning

confidence: 99%

“…The observations in Japan and Taiwan showed that the amplitudes of rotations can be one to two orders of magnitude greater than expected from the classical elasticity theory, as first noted by Takeo (1998). Theoretical work has also suggested that, in granular materials or cracked continua, asymmetries of the stress and strain fields can create rotations in addition to those predicted by the classical elastodynamic theory (Vardoulakis, 1989;Teisseyre and Boratyński, 2003;Harris, 2006;Kulesh, 2009). These rotations naturally generate rotational seismic waves and seismic spin and twist solitons (Majewski, 2006).…”

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confidence: 99%

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Introduction to the Special Issue on Rotational Seismology and Engineering Applications

Lee¹,

Çelebi²,

Todorovska³

et al. 2009

Bulletin of the Seismological Society of America

165

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Rotational seismology is an emerging field for studying all aspects of rotational ground motions induced by earthquakes, explosions, and ambient vibrations. It is of interest to a wide range of geophysical disciplines, including strong-motion seismology, broadband seismology, earthquake engineering, earthquake physics, seismic instrumentation, seismic hazards, seismotectonics, and geodesy, as well as to physicists using Earth-based observatories for detecting gravitational waves generated by astronomical sources (predicted by Einstein in 1916). In this introduction to the BSSA special issue on rotational seismology and engineering applications, we will include (1) some background information, (2) a summary of the recent events that led to this special issue, and (3) an overview of its 51 papers-27 articles, 11 short notes, 4 reviews, 6 tutorials, and 3 supplementary articles. Our comments on these 51 papers are very brief and give just a hint of what the papers are about.Papers in this special issue demonstrate that earthquake monitoring cannot be limited to measuring only the three components of translational motion. We also need to simultaneously measure the three components of rotational motion and the many components of strains. A golden opportunity to improve our understanding of earthquakes lies in the near field of large earthquakes (within about 25 km of the earthquake ruptures), where nonlinear rock and soil response influences ground motions in a complicated way. Some Background InformationRotational effects of earthquake waves together with rotations caused by soil-structure interaction (e.g., in chimneys, monuments, or tombstones rotated on their supports) have been observed for centuries. A few early authors proposed rotational waves or at least some vortical motions. Some of these early observations, however, might have resulted from ground rocking caused by soil-structure interaction. Some early seismic instruments designed to detect and to record earthquake shaking also included the rocking of ground motion because it was believed that earthquakes were caused by explosions in the Earth (Trifunac, 2008). As summarized by Ferrari (2006), two models of an electrical seismograph with sliding smoked paper were developed by P. Filippo Cecchi (1822-1887) to record three-component translation motions and also the torsion movements from earthquakes. Although these instruments operated for several years, no rotational motion could be recorded because of low transducer sensitivity.Mallet (1862) proposed that rotations of a body on the Earth's surface are due to a sequence of different seismic phases emerging under different angles. Reid (1910) studied this phenomenon, which was observed in the 1906 San Francisco earthquake, and pointed out that the observed rotations are too large to be produced by waves of elastic distortion. Such waves "produce very small rotations, whose maximum amount, … is given by the expression 2πA=λ, where A is the amplitude and λ the wave-length; with a wave as short as 10...

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Section: Articles and Short Notesmentioning

confidence: 99%

Section: Articles and Short Notesmentioning

confidence: 99%

Section: Classical Elasticity Versus Other Theoriesmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Introduction to the Special Issue on Rotational Seismology and Engineering Applications

Lee¹,

Çelebi²,

Todorovska³

et al. 2009

Bulletin of the Seismological Society of America

165

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“…So far, four effective methods have been developed. The first is to study seismic rotational component based on focal mechanism and seismic wave propagation theory (Knopoff and Chen, 2009;Kulesh, 2009;Grekova et al, 2009). The second, which is based on elastic wave theory, is to calculate seismic rotational component by three seismic translation component records from a single seismographic station.…”

Section: Introductionmentioning

confidence: 99%

Torsional phenomena in 2008 great Wenchuan earthquake

2010

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It is well known that there are some torsional damages in earthquakes. In Taibai park, Jiangyou city, Sichuan province, most of the stone statues, which were placed upon the banisters of one zigzag bridge, exhibited different torsional phenomena in 2008 Wenchuan earthquake. This paper introduces the torsional phenomena of all the statues on the zigzag bridge firstly. Then one eccentricity model is established and the equivalent rotational accelerations are calculated in order to analyze the causes of the torsional damage. In addition, the torsional components are synthesized by using translation accelerations recorded at Jiangyou station in the Wenchuan earthquake. The results show that the equivalent rotational acceleration is larger than the synthesized rotational components, which suggests that the torsional phenomena of the statues on the zigzag bridge might mainly come from its eccentricity. The comparison between the estimated torsional component at Jiangyou and that presented by Trifunac shows that they are in the same order. The research implies that the torsional phenomena in earthquakes are very complicated, and not only caused by torsional motions.

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