Dynamic problem of the interaction of a circular die with soil regarded as an elastoviscoplastic half-space

1992 ◽  
Vol 33 (2) ◽  
pp. 294-298
Author(s):  
A. M. Il'nitskii ◽  
O. V. Kantur ◽  
G. V. Rykov
Keyword(s):  
Half Space ◽  
Dynamic Problem

Dynamic Problem in Green-Naghdi (Type III) Thermoelastic Half-Space with Two Temperature

2014 ◽  
Vol 21 (7) ◽  
pp. 544-552 ◽  
Author(s):  
Praveen Ailawalia ◽  
Shilpy Budhiraja ◽  
Amit Singla
Keyword(s):  
Half Space ◽  
Dynamic Problem ◽  
Type Iii ◽  
Two Temperature

The Dynamic Problem of Torsion by a Rigid Shaft of a Nonhomogeneous Half-Space

2019 ◽  
Vol 968 ◽  
pp. 396-403
Author(s):  
Viktoriia Denysenko ◽  
Iryna Kovalova ◽  
Dina Lazarieva
Keyword(s):  
Approximate Solution ◽  
Contact Problem ◽  
Half Space ◽  
Contact Area ◽  
Dynamic Problem ◽  
Polynomial Method ◽  
Integral Transformations ◽  
Subsequent Application ◽  
Axisymmetric Contact Problem ◽  
Angle Of Rotation

An axisymmetric contact problem concerning the torsion of a circular shaft of an orthotropic-nonhomogeneous half-space is considered. By means of the technique of integral transformations of Laplace and Hankel, with the subsequent application of the orthogonal polynomial method, an approximate solution in the transformant space is constructed. Also was performed reverse transformation. Calculated formulas for the angle of rotation of the shaft and the tangential stress acting on the contact area are obtained. Numerical calculations for certain types of heterogeneity have been performed. Comparison of the obtained results with the previously known results is made.

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity

1965 ◽  
Vol 287 (1411) ◽  
pp. 549-567 ◽  
Keyword(s):  
General Solution ◽  
Point Source ◽  
Half Space ◽  
Dynamic Problem ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Time Dependent ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Limit Case

The dynamic problem of the deformation of a homogeneous, perfectly elastic and isotropic half space due to harmonically time-dependent tractions over the boundary of an embedded spherical cavity is discussed. The solution is developed completely and rigorously by a method of successive approximations. Lamb’s solution for a point source in a half-space is derived as a limit case of the general solution. The problem is suggested by its applications in the theory of underground explosions and in seismology.

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