Two-Dimensional Systems

Malecki, I.

doi:10.1016/b978-0-08-011097-4.50017-6

Cited by 3 publications

(3 citation statements)

References 21 publications

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“…This kind of lattice instability is equivalent to the softening of the effective elastic constant in (1 11) directions: Ceff(111) =!dC11+2C12 +4C44)* Ceffcl 1 > can be obtained by analysing the longitudinal elastic wave propagation in the ( 1 1 1 ) directions (e.g. see Malecki 1969). Therefore the effect of stress on the lattice instability responsible for the R and martensitic transformations can be studied by investigating the effect of stress on Cefr(lll) and C' which also can be obtained by analysing the ( 1 TO) transverse elastic wave propagation in the cubic crystal:…”

Section: Downloaded By [New York University] At 02:01 31 July 2015mentioning

confidence: 99%

The effect of stress on soft modes for the phase transformation in a Ti-Ni alloy I. The stress-induced transformation and soft modes

1991

TPHA

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Section: Downloaded By [New York University] At 02:01 31 July 2015mentioning

confidence: 99%

The effect of stress on soft modes for the phase transformation in a Ti-Ni alloy I. The stress-induced transformation and soft modes

1991

TPHA

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“…As the temperature increased from −2 to 84°F, the normalized amplitude decreased considerably, at the greatest distance, the normalized amplitude dropped from approximately 0.2 at −2°F to approximately 0.01 at 84°F. The amplitude attenuation of the SH waves can be expressed using an exponential function ( 22 ):…”

Section: Effect Of Temperature On Asphalt Propertiesmentioning

confidence: 99%

Evaluation of the Impact Echo Method for Concrete Bridge Decks with Asphalt Overlays

Azari

Lin

2019

Transportation Research Record: Journal of the Transportation R

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Asphalt overlays have been commonly used to extend the service life of deteriorated concrete bridge decks. Nonlinear, viscoelastic asphalt has properties that differ considerably from the properties of the underlying portland cement concrete (PCC) deck. The impact echo (IE) method has been extensively used to nondestructively evaluate PCC structures. The method, however, performs differently on asphalt overlays, especially when a membrane is placed between the overlay and the deck. The general recommendation has been to perform IE tests on asphalt overlays in cold weather. The temperature range under which IE can be used, however, is still uncertain. This study was conducted to systematically examine IE performance on asphalt overlays. Three PCC specimens with three types of asphalt overlays―asphalt with a liquid membrane, asphalt with a sheet membrane, and asphalt without a membrane―were tested in a temperature chamber. The three PCC specimens had identical designs, materials, and artificial defects. The nondestructive evaluation (NDE) results from the tests indicate that: (1) 32°F and below is the appropriate temperature range for IE to detect defects in the underlying deck; and (2) membranes can significantly reduce the propagation of waves into the underlying deck.

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“…For stress-free surfaces, an infinite matrix system arises [1,2]. Physically [3], at the surfaces a coupling of transverse and longitudinal waves occurs, so individual component waves cannot in general be treated independently. In this note we restrict attention to the plane-strain case and seek analytic solutions for the natural oscillations of a cuboid with two pairs of opposite sides free.…”

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confidence: 99%

Uniqueness and properties of an interesting class of natural oscillations of a solid rectangular parallelepiped

Gottlieb¹

1981

J Elasticity

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The problem of exactly determining the general linearly-elastic vibrations of even such a symmetric solid as the rectangular parallelepiped (cuboid) is surprisingly difficult. For stress-free surfaces, an infinite matrix system arises [1,2]. Physically [3], at the surfaces a coupling of transverse and longitudinal waves occurs, so individual component waves cannot in general be treated independently. In this note we restrict attention to the plane-strain case and seek analytic solutions for the natural oscillations of a cuboid with two pairs of opposite sides free.In standard notation (c.f. [4]), the state of plane strain is defined by displacements u, v as functions of only x, y and time t, with w zero, and thus all quantities are independent of z. The stresses rxz and r~z are zero, and • ~z = v(~-~x +~) (1)where v is Poisson's ratio. (On the surfaces z = constant, the conditions of vanishing w and ~-~, ~-y~ are "mixed boundary conditions", and it is known ([5], p. 321) that such conditions on all surfaces of a cuboid lead to a simple but complete solution for natural oscillations.) We consider the rectangular cross-section 0 ~< x ~< a, 0 ~< y ~< b with stress-free sides and seek exact separable steady oscillating solutions. Thus we set u = f(x)g(y) exp (-ioot) (2) with ~o ~ 0, and a similar form for v. Use of the boundary conditions in the dynamical wave equation gives ~f(0) g"(y) = [0,o2f(0) + (X + 2ix)~"(0)]g(y)where 0 is the density and h, Ix are the Lam6 constants. The differential equation (3) is of second order, but the coefficient on the right *Permanent address:

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Two-Dimensional Systems

Cited by 3 publications

References 21 publications

The effect of stress on soft modes for the phase transformation in a Ti-Ni alloy I. The stress-induced transformation and soft modes

The effect of stress on soft modes for the phase transformation in a Ti-Ni alloy I. The stress-induced transformation and soft modes

Evaluation of the Impact Echo Method for Concrete Bridge Decks with Asphalt Overlays

Uniqueness and properties of an interesting class of natural oscillations of a solid rectangular parallelepiped

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