The Royal Society
0080-4630
2053-9169
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Các bài báo tiêu biểu
The determination of the elastic field of an ellipsoidal inclusion, and related problems
Tập 241 Số 1226 - Trang 376-396 - 1957
It is supposed that a region within an isotropic elastic solid undergoes a
spontaneous change of form which, if the surrounding material were absent, would
be some prescribed homogeneous deformation. Because of the presence of the
surrounding material stresses will be present both inside and outside the
region. The resulting elastic field may be found very simply with the help of a
sequence of ima...
Quantal phase factors accompanying adiabatic changes
Tập 392 Số 1802 - Trang 45-57 - 1984
A quantal system in an eigenstate, slowly transported round a circuit C by
varying parameters R in its Hamiltonian Ĥ(R), will acquire a geometrical phase
factor exp{iγ(C)} in addition to the familiar dynamical phase factor. An
explicit general formula for γ(C) is derived in terms of the spectrum and
eigenstates of Ĥ(R) over a surface spanning C. If C lies near a degeneracy of Ĥ,
γ(C) takes a simpl...
Natural evaporation from open water, bare soil and grass
Tập 193 Số 1032 - Trang 120-145 - 1948
Two theoretical approaches to evaporation from saturated surfaces are outlined,
the first being on an aerodynamic basis in which evaporation is regarded as due
to turbulent transport of vapour by a process of eddy diffusion, and the second
being on an energy basis in which evaporation is regarded as one of the ways of
degrading incoming radiation. Neither approach is new, but a combination is
sugg...
On kinematic waves II. A theory of traffic flow on long crowded roads
Tập 229 Số 1178 - Trang 317-345 - 1955
This paper uses the method of kinematic waves, developed in part I, but may be
read independently. A functional relationship between flow and concentration for
traffic on crowded arterial roads has been postulated for some time, and has
experimental backing (§2). From this a theory of the propagation of changes in
traffic distribution along these roads may be deduced (§§2, 3). The theory is
applie...
A theory of the yielding and plastic flow of anisotropic metals
Tập 193 Số 1033 - Trang 281-297 - 1948
A theory is suggested which describes, on a macroscopic scale, the yielding and
plastic flow of an anisotropic metal. The type of anisotropy considered is that
resulting from preferred orientation. A yield criterion is postulated on general
grounds which is similar in form to the Huber-Mises criterion for isotropic
metals, but which contains six parameters specifying the state of anisotropy. By
us...
Disintegration of water drops in an electric field
Tập 280 Số 1382 - Trang 383-397 - 1964
The disintegration of drops in strong electric fields is believed to play an
important part in the formation of thunderstorms, at least in those parts of
them where no ice crystals are present. Zeleny showed experimentally that
disintegration begins as a hydrodynamical instability, but his ideas about the
mechanics of the situation rest on the implicit assumption that instability
occurs when the i...
Stability of polyatomic molecules in degenerate electronic states - I—Orbital degeneracy
Tập 161 Số 905 - Trang 220-235 - 1937
In the following we investigate the conditions under which a polyatomic molecule
can have a stable equilibrium configuration when its electronic state has
orbital degeneracy, i. e. degeneracy not arising from the spin. We shall show
that stability and degeneracy are not possible simultaneously unless the
molecule is a linear one, i. e. unless all the nuclei in the equilibrium
configuration lie on ...
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
Tập 245 Số 1242 - Trang 312-329 - 1958
When a viscous fluid filling the voids in a porous medium is driven forwards by
the pressure of another driving fluid, the interface between them is liable to
be unstable if the driving fluid is the less viscous of the two. This condition
occurs in oil fields. To describe the normal modes of small disturbances from a
plane interface and their rate of growth, it is necessary to know, or to assume
o...
A new sensitive chemical actinometer - II. Potassium ferrioxalate as a standard chemical actinometer
Tập 235 Số 1203 - Trang 518-536 - 1956
The earlier experiments with potassium ferrioxalate have been extended and a
detailed study has been made of the photolysis of the acidified solutions
previously recommended for chemical actinometry (Parker 1953). Accurate values
of quantum efficiency have been determined at twelve wavelengths between 254 and
578 m μ , and the effect of temperature, light intensity and of photolyte
composition hav...
Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system
Tập 253 Số 1274 - Trang 358-379 - 1959
An investigation is made of the structure of the electromagnetic field near the
focus of an aplanatic system which images a point source. First the case of a
linearly polarized incident field is examined and expressions are derived for
the electric and magnetic vectors in the image space. Some general consequences
of the formulae are then discussed. In particular the symmetry properties of the
fie...