scholarly journals Erratum: “An Exact Solution for the Superseismic Stage of Dynamic Contact Between a Punch and an Elastic Body” (Journal of Applied Mechanics, 1977, 44, pp. 583–586)

1978 ◽  
Vol 45 (2) ◽  
pp. 459-459
Author(s):  
J. C. Thompson ◽  
A. R. Robinson
Keyword(s):  
Exact Solution ◽  
Elastic Body ◽  
Dynamic Contact ◽  
Applied Mechanics

On the Transmission of a Concentrated Load Into the Interior of an Elastic Body

1956 ◽  
Vol 23 (4) ◽  
pp. 541-554
Author(s):  
G. L. Neidhardt ◽  
Eli Sternberg
Keyword(s):  
Exact Solution ◽  
Normal Stress ◽  
Elastic Body ◽  
Half Space ◽  
Circular Cone ◽  
The Body ◽  
Concentrated Load ◽  
In Series ◽  
Stress Functions ◽  
Axis Of Symmetry

Abstract An exact solution in series form is presented for the stresses and displacements in an elastic body bounded by one sheet of a two-sheeted hyperboloid of revolution, subjected to an axial concentrated load at the vertex. The problem is reduced to one governed by finite surface tractions with the aid of a scheme developed in (1), and the solution is based on the Boussinesq stress functions referred to spheroidal co-ordinates. The corresponding known solutions appropriate to the half space and to the circular cone are obtained as limiting cases. Numerical results are given for the normal stress on planes perpendicular to the axis of symmetry, at points on this axis. These values are utilized in a discussion aimed at the influence of the curvature of the boundary at the load point upon the transmission of the load into the interior of the body; the results indicate that this influence may be considerable.

On the Ergodicity Assumption in an Applied Mechanics Problem

1985 ◽  
Vol 52 (1) ◽  
pp. 133-136 ◽  
Author(s):  
A. Scheurkogel ◽  
I. Elishakoff
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Cylindrical Shell ◽  
Linear Differential Equation ◽  
Approximate Method ◽  
Mean Square ◽  
Applied Mechanics ◽  
Inhomogeneous Term ◽  
Method Of Solution ◽  
Linear Differential

A deformation of a thin uniform cylindrical shell is considered under random axisymmetric loading. Mathematically this is equivalent to the study of a quasi-linear differential equation with random inhomogeneous term and random coefficient. The approximate method of solution, based on the assumption of ergodicity of the shell slope, is first described. It is shown that sometimes this assumption is valid but when not, it may yield non-negligible errors. In particular, it is shown via the exact solution that assumption of ergodicity of the shell slope is correct if the loading is ergodic in correlation. However, this assumption may yield an error of about 20 percent if the loading in ergodic in mean-square but not in correlation.

Note on a Paper by Liu on the Scattering of Water Waves by a Pair of Semi-Infinite Barriers

1981 ◽  
Vol 48 (3) ◽  
pp. 656-656
Author(s):  
A. D. Rawlins
Keyword(s):  
Exact Solution ◽  
Transmission Coefficient ◽  
Water Waves ◽  
Low Frequency ◽  
Exact Expression ◽  
Simple Expression ◽  
Exact Form ◽  
Applied Mechanics ◽  
Asme Journal ◽  
Incident Waves

Recently, a problem, whose solution was well known in exact form, has been analyzed by Liu (Scattering of Water Waves by a Pair of Semi-Infinite Barriers, ASME Journal of Applied Mechanics, Vol. 42, 1975, p. 777), by the method of matched asymptotic expansions. From the known exact solution a simple expression is obtained for the transmission coefficient. The exact expression for the transmission coefficient when expanded for low frequency incident waves differs from Liu’s result, and therefore casts doubt on Liu’s analysis and physical conclusions.

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model

Investigation of behavior of the dynamic contact angle in a problem of convective flows

2017 ◽  
Vol 5 (4) ◽  
pp. 27-42
Author(s):  
O.N Goncharova ◽  
◽  
I.V. Marchuk ◽  
A.V. Zakurdaeva ◽  
◽  
...  
Keyword(s):  
Contact Angle ◽  
Dynamic Contact Angle ◽  
Dynamic Contact ◽  
Convective Flows
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