Variational Principles of Continuum Mechanics

Berdichevsky, Victor L.

doi:10.1007/978-3-540-88467-5

Cited by 104 publications

(97 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Although the magnetometer no longer functions as a "dualmagnetometer" (Behannon et al 1977), the independent observations made by the inboard and outboard magnetometers are used in determining the best estimate of the components of B for each 48 s interval (Berdichevsky 2009, http://vgrmag. gsfc.nasa.gov/Berdichevsky-VOY_sensor_opu090518.pdf)…”

Section: Magnetic Field Observationsmentioning

confidence: 99%

Heliosheath Magnetic Field and Plasma Observed by Voyager 2 During 2012 in the Rising Phase of Solar Cycle 24

Burlaga

Ness

Richardson

et al. 2016

ApJ

View full text Add to dashboard Cite

We discuss magnetic field and plasma observations of the heliosheath made by Voyager 2 (V2) during 2012, when V2 was observing the effects of increasing solar activity following the solar minimum in 2009. The average magnetic field strength B was 0.14 nT and B reached 0.29 nT on day 249. V2 was in a unipolar region in which the magnetic polarity was directed away from the Sun along the Parker spiral 88% of the time, indicating that V2 was poleward of the heliospheric current sheet throughout most of 2012. The magnetic flux at V2 during 2012 was constant. A merged interaction region (MIR) was observed, and the flow speed increased as the MIR moved past V2. The MIR caused a decrease in the >70 MeV nuc −1 cosmic-ray intensity. The increments of B can be described by a q-Gaussian distribution with q=1.2±0.1 for daily averages and q=1.82±0.03 for hour averages. Eight isolated current sheets ("PBLs") and four closely spaced pairs of current sheets were observed. The average change of B across the current sheets was a factor of ≈2, and B increased or decreased with equal probability. Magnetic holes and magnetic humps were also observed. The characteristic size of the PBLs was ≈6 R L , where R L is the Larmor radius of protons, and the characteristic sizes of the magnetic holes and humps were ≈38 R L and ≈11 R L , respectively.

show abstract

Section: Magnetic Field Observationsmentioning

confidence: 99%

Heliosheath Magnetic Field and Plasma Observed by Voyager 2 During 2012 in the Rising Phase of Solar Cycle 24

Burlaga

Ness

Richardson

et al. 2016

ApJ

View full text Add to dashboard Cite

show abstract

“…3 S. The Voyager magnetic field instrument is described by Behannon et al (1977). Key aspects of the data processing in recent years are discussed by Berdichevsky (2009Berdichevsky ( , 2015. The plasma instrument on V2 is described by Bridge et al (1977).…”

Section: Introductionmentioning

confidence: 99%

Transition from the Unipolar Region to the Sector Zone: Voyager 2, 2013 and 2014

Burlaga

Ness

Richardson

2017

ApJ

View full text Add to dashboard Cite

We discuss magnetic field and plasma observations of the heliosheath made by Voyager 2 (V2) during 2013 and 2014 near solar maximum. A transition from a unipolar region to a sector zone was observed in the azimuthal angle λ between ∼2012.45 and 2013.82. The distribution of λ was strongly singly peaked at 270 in the unipolar region and double peaked in the sector zone. The δ-distribution was strongly peaked in the unipolar region and very broad in the sector zone. The distribution of daily averages of the magnetic field strength B was Gaussian in the unipolar region and lognormal in the sector zone. The correlation function of B was exponential with an e-folding time of ∼5 days in both regions. The distribution of hourly increments of B was a Tsallis distribution with nonextensivity parameter q=1.7±0.04 in the unipolar region and q=1.44±0.12 in the sector zone. The CR-B relationship qualitatively describes the 2013 observations, but not the 2014 observations. A 40 km s −1 increase in the bulk speed associated with an increase in B near 2013.5 might have been produced by the merging of streams. A "D sheet" (a broad depression in B containing a current sheet moved past V2 from days 320 to 345, 2013. The Rand N-components of the plasma velocity changed across the current sheet.

show abstract

“…Van Dyke (1975) and Andrianov et al (2013), asymptotically justified only at the local highfrequency and low-frequency long-wave limits, but not over the whole frequency range. For example, composite structural models, see Berdichevsky (2009) and Le (1999), may bring a sort of mathematical validation for ad hoc Timoshenko-…”

mentioning

confidence: 99%

Dispersion of elastic waves in a strongly inhomogeneous three-layered plate

Kaplunov

Приказчиков

Prikazchikova

2017

International Journal of Solids and Structures

View full text Add to dashboard Cite

Elastic wave propagation in a three-layered plate with high-contrast mechanical and geometric properties of the layers is analysed. Four specific types of contrast arising in engineering practice, including the design of stiff and lightweight structures, laminated glass, photovoltaic panels, and electrostatic precipitators in gas filters, are considered. For all of them the cut-off frequency of the first harmonic is close to zero. Two-mode asymptotic polynomial expansions of the Rayleigh-Lamb dispersion relation approximating both the fundamental bending wave and the first harmonic, are derived. It is established that these can be either uniform or composite ones, valid only over non-overlapping vicinities of zero and the lowest cut-off frequencies. The partial differential equations of motion associated with two-mode shortened dispersion relations are also presented.

show abstract

Variational Principles of Continuum Mechanics

Cited by 104 publications

References 0 publications

Heliosheath Magnetic Field and Plasma Observed by Voyager 2 During 2012 in the Rising Phase of Solar Cycle 24

Heliosheath Magnetic Field and Plasma Observed by Voyager 2 During 2012 in the Rising Phase of Solar Cycle 24

Transition from the Unipolar Region to the Sector Zone: Voyager 2, 2013 and 2014

Dispersion of elastic waves in a strongly inhomogeneous three-layered plate

Contact Info

Product

Resources

About