scholarly journals COMPUTATION OF AXISYMMETRIC VIBRATION TRANSMISSION USING A WELL-CONDITIONED SYSTEM FOR ELASTIC LAYERS OVER A HALF–SPACE

2019 ◽  
Author(s):  
Andrew Peplow ◽  
Lars Andersen ◽  
Peter Persson
Keyword(s):  
Half Space ◽  
Axisymmetric Vibration ◽  
Vibration Transmission ◽  
Elastic Layers

Bounds on the Maximum Contact Stress of an Indented Elastic Layer

1971 ◽  
Vol 38 (3) ◽  
pp. 608-614 ◽  
Author(s):  
Y. C. Pao ◽  
Ting-Shu Wu ◽  
Y. P. Chiu
Keyword(s):  
Half Space ◽  
Contact Stress ◽  
Elastic Layer ◽  
Theory Of Elasticity ◽  
Contact Conditions ◽  
Practical Applications ◽  
Method Of Solution ◽  
Elastic Layers ◽  
Maximum Contact ◽  
Contact Stress Distribution

This paper is concerned with the plane-strain problem of an elastic layer supported on a half-space foundation and indented by a cylinder. A study is presented of the effect of the contact condition at the layer-foundation interface on the contact stresses of the indented layer. For the general problem of elastic indenter or elastic foundation, the integral equations governing the contact stress distribution of the indented layer derived on the basis of two-dimensional theory of elasticity are given and a numerical method of solution is formulated. The limiting contact conditions at the layer-foundation interface are then investigated by considering two extreme cases, one with the indented layer in frictionless contact with the half space and the other with the indented layer rigidly adhered to the half space. Graphs of the bounds on the maximum normal stress occurring in indented elastic layers for the cases of rigid cylindrical indenter and rigid half-space foundation are obtained for possible practical applications. Some results of the elastic indenter problem are also presented and discussed.

scholarly journals Calculation of surface motions of a layered half-space

1970 ◽  
Vol 60 (5) ◽  
pp. 1625-1651 ◽  
Author(s):  
N. C. Tsai ◽  
G. W. Housner
Keyword(s):  
Approximate Method ◽  
Half Space ◽  
Transient Response ◽  
Computing Time ◽  
Plane Waves ◽  
New Method ◽  
Satisfactory Accuracy ◽  
Time Required ◽  
Elastic Layers ◽  
Layered Half Space

Abstract A new method is presented for computing the transient response of a set of horizontally stratified, linearly elastic layers overlying a uniform half-space and excited by vertically incident, transient plane waves. In addition, a simple approximate method of satisfactory accuracy is developed that reduces the computing time required. Calculated responses are compared with motions recorded under Union Bay in Seattle to evaluate the agreement between recorded and calculated motions.

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