Scattering of two‐dimensional periodic gratings composed of cylindrical cavities in an elastic medium

2004 ◽  
Vol 115 (5) ◽  
pp. 2570-2570
Author(s):  
Sebastien Robert ◽  
Hervé Franklin ◽  
Jean‐Marc Conoir
Keyword(s):  
Elastic Medium ◽  
Two Dimensional ◽  
Cylindrical Cavities ◽  
Periodic Gratings

scholarly journals Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

2021 ◽  
Author(s):  
Tuoya Sun ◽  
Junhong Guo ◽  
E. Pan
Keyword(s):  
Elastic Medium ◽  
Vibration Frequency ◽  
Surrounding Medium ◽  
Nonlocal Parameter ◽  
Buckling Load ◽  
Width Ratio ◽  
Two Dimensional ◽  
Coating Materials ◽  
Decagonal Quasicrystal ◽  
Critical Buckling Load

AbstractA mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed. The Pasternak-type foundation is used to simulate the interaction between the nanoplates and the elastic medium. The exact solutions of the nonlocal vibration frequency and buckling critical load of the 2D decagonal QC layered nanoplates are obtained by solving the eigensystem and using the propagator matrix method. The present three-dimensional (3D) exact solution can predict correctly the nature frequencies and critical loads of the nanoplates as compared with previous thin-plate and medium-thick-plate theories. Numerical examples are provided to display the effects of the quasiperiodic direction, length-to-width ratio, thickness of the nanoplates, nonlocal parameter, stacking sequence, and medium elasticity on the vibration frequency and critical buckling load of the 2D decagonal QC nanoplates. The results show that the effects of the quasiperiodic direction on the vibration frequency and critical buckling load depend on the length-to-width ratio of the nanoplates. The thickness of the nanoplate and the elasticity of the surrounding medium can be adjusted for optimal frequency and critical buckling load of the nanoplate. This feature is useful since the frequency and critical buckling load of the 2D decagonal QCs as coating materials of plate structures can now be tuned as one desire.

scholarly journals Reversibly Thermoswitchable Two-Dimensional Periodic Gratings Prepared from Tethered Poly(N-isopropylacrylamide) on Silicon Surfaces

2013 ◽  
Vol 5 (8) ◽  
pp. 2959-2966 ◽  
Author(s):  
Jem-Kun Chen ◽  
Jing-Hong Wang ◽  
Chih-Chia Cheng ◽  
Jia-Yaw Chang
Keyword(s):  
Silicon Surfaces ◽  
Two Dimensional ◽  
Periodic Gratings

APPROXIMATE BOUNDARY FORMABILITY WITH VOLUME ACTUATION

1998 ◽  
Vol 08 (07) ◽  
pp. 1243-1250 ◽  
Author(s):  
DAVID L. RUSSELL
Keyword(s):  
Elastic Medium ◽  
Common Sense ◽  
Shape Control ◽  
Two Dimensional ◽  
Triangular Region ◽  
Isotropic Elastic Medium ◽  
Normal Boundary ◽  
Selection Of

We study the approximate formability of the boundary of a two-dimensional isotropic elastic medium with the use of uniform volume actuation in the interior of that medium. We show that care is required in the selection of formability criteria to ensure that formability corresponds with common sense notions of "shape control". Finally, we analyze what we define as approximate normal boundary formability in the case of a rectangular and a triangular region, showing that such formability does not obtain in the first instance but, with some smoothness assumptions, does obtain in the second.

A note on certain stress distributions in isotropic and aeolotropic materials

1945 ◽  
Vol 41 (3) ◽  
pp. 224-231 ◽  
Author(s):  
A. E. Green
Keyword(s):  
Elastic Medium ◽  
Two Dimensional ◽  
Stress Distributions ◽  
Dimensional Problem ◽  
Force System ◽  
Considerable Saving ◽  
Plane Face ◽  
Method Of Solution ◽  
Sen’S Method ◽  
Force Problem

1. I. N. Sneddon has recently considered(11) the two-dimensional problem of the stress distribution due to a force uniformly distributed along a strip in the interior of a semi-infinite elastic medium by integrating the distribution due to an isolated force. The method of solution for the isolated force problem differs from that originally used by Melan(9), but both writers employ real variables. A solution of this problem, using complex variables, has been given by Stevenson and a considerable saving of labour is revealed. A complex variable method of solution for problems of stress distributions in an elastic medium bounded by a plane face was, however, given earlier by Sen(10), although he only made applications to problems in which the force system was applied to the plane face. Sen's method is somewhat different from that used by Stevenson and gives results more directly for many problems, including the problem considered by Sneddon.

scholarly journals Two-Dimensional Periodic Composite Structure for Acoustic Sensor of Volumetric Properties of Liquids

2018 ◽  
pp. 56-63
Author(s):  
N. V. Mukhin ◽  
D. N. Redka ◽  
S. A. Tarasov ◽  
A. Yu. Oseev ◽  
S. Hirsch
Keyword(s):  
Experimental Studies ◽  
Hydrocarbon Mixture ◽  
Dimensional System ◽  
Steel Matrix ◽  
Two Dimensional ◽  
Resonance Modes ◽  
Narrow Bandwidth ◽  
Periodic Composite ◽  
Cylindrical Cavities ◽  
High Reflection

The object of the study is acoustic metamaterial, which is a steel matrix with a periodic two-dimensional system of cylindrical cavities filled with hydrocarbon mixture. The induced resonances of fluid in cylindrical cavities of the periodic structure are studied for application in liquid fuel sensors. Theoretical studies of the structure show the possibility of exciting axisymmetric and spinning resonance modes in it in the frequency range with a high reflection coefficient of the structure, which manifest themselves as windows with a narrow bandwidth. Experimental studies confirm the existence of such resonances, and the asymmetric resonance mode is more evident. Measurements of various mixtures of gasoline and ethanol show that the sensor has significant sensitivity for distinguishing between conventional fuels, gasoline-based mixtures and the presence of additives in standard fuels.

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