Quarterly of Applied Mathematics
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Turbulence and the dynamics of coherent structures. I. Coherent structures
Quarterly of Applied Mathematics - Tập 45 Số 3 - Trang 561-571
Dynamic thermal shock in hollow spheres
Quarterly of Applied Mathematics - Tập 26 Số 4 - Trang 503-520
A method is developed for the solution of problems of uncoupled dynamic
thermoelasticity with arbitrarily prescribed spherically symmetric temperature
fields. The technique is based on an integration theorem for hyperbolic
initial-value problems, together with the construction of image temperature
fields in regions outside the actual body so as to satisfy stress or
displacement boundary conditions...
Existence of steady waves for a class of nonlinear dissipative materials
Quarterly of Applied Mathematics - Tập 26 Số 1 - Trang 27-34 - 1968
Isothermal squeeze films
Quarterly of Applied Mathematics - Tập 20 Số 2 - Trang 131-150 - 1962
A derivation is presented of the equation governing the pressure in a thin, flat
film of ideal gas under isothermal conditions, when the surfaces bounding the
film are in relative normal and tangential motion. When tangential motion is
absent, the pressure equation reduces to a nonlinear heat equation, which admits
of very few closed-form solutions. Various approximation methods are discussed,
and...
On some inverse problems in dynamics
Quarterly of Applied Mathematics - Tập 26 Số 2 - Trang 281-283 - 1968
It is known that the time of traverse of a freely falling body through a
straight tunnel connecting any two points of the surface of a uniform spherical
planet is isochronous. We show here that if the isochronous property is to hold
for any planet with a spherical symmetric density, then the density must be
constant. Also it is shown that if the isochronous property is to hold for any
uniform sphe...
Interface cracks in anisotropic dissimilar materials: general case
Quarterly of Applied Mathematics - Tập 50 Số 2 - Trang 305-322 - 1992
An interface crack in anisotropic dissimilar materials is considered for the
general case where all three fracture modes may be coupled. Analytic solutions
are obtained for two commonly used models of interface cracks: (1) the fully
open crack; and (2) the Comninou model where, even under farfield tension normal
to the crack face, the existence of very small contact zones near the crack tips
is pe...
Nuclei of strain at three-dimensional bimaterial interfaces
Quarterly of Applied Mathematics - Tập 56 Số 1 - Trang 191-200 - 1998
When nuclei of strain approach the interface of two materials, the displacement
fields may not be unique and may depend on the direction from which the
interface is approached. For example, the displacement fields of a center of
dilatation at the interface of two materials are not unique and depend on the
direction of approach to the interface. To avoid misunderstanding, it can be
stressed that ea...
An integral equation approach to boundary value problems of classical elastostatics
Quarterly of Applied Mathematics - Tập 25 Số 1 - Trang 83-95
The analogy between potential theory and classical elasticity suggests an
extension of the powerful method of integral equations to the boundary value
problems of elasticity. A vector boundary formula relating the boundary values
of displacement and traction for the general equilibrated stress state is
derived. The vector formula itself is shown to generate integral equations for
the solution of t...
Refined geometrically nonlinear theories of anisotropic laminated shells
Quarterly of Applied Mathematics - Tập 45 Số 1 - Trang 1-22 - 1987
On the theory of thin elastic shells
Quarterly of Applied Mathematics - Tập 14 Số 4 - Trang 369-380 - 1957
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