Analysis of Two Cracks Vertical to the Isotropic Plane in Transversely Isotropic Bimaterials

2011 ◽  
Vol 90-93 ◽  
pp. 307-310
Author(s):  
Bing Jun Wang ◽  
Hong Tian Xiao
Keyword(s):  
Free Surface ◽  
Half Space ◽  
Interaction Effect ◽  
Crack Surface ◽  
Crack Opening ◽  
Transversely Isotropic ◽  
Infinite Medium ◽  
Isotropic Plane ◽  
Effect Factor ◽  
Distributed Load

This paper analyzed the interaction between two parallel vertical cracks in a transversely isotropic half space by using the boundary element method (DBEM). The crack surface is perpendicular to the free surface and isotropic plane subjected to normal and tangential uniform distributed load respectively. The stress intensity factor (SIF) values of the crack are calculated from the crack opening displacements. And the interaction effect factor of SIF values is employed to quantitatively describe the interaction between two cracks. The variations of interaction effect factor are investigated with the distances between cracks, the side ratios and free surface. Results show that the existence of the free surface exerts more obvious influence on the SIF values of the crack close to free surface in half space than those in infinite medium. But the free surface has almost no influence on the interaction between two cracks.

Antiplane Eigenstrain Problem of an Elliptic Inclusion in an Anisotropic Half Space

1982 ◽  
Vol 49 (1) ◽  
pp. 52-54 ◽  
Author(s):  
R. A. Masumura ◽  
Y. T. Chou
Keyword(s):  
Free Surface ◽  
Half Space ◽  
Elastic Energy ◽  
Infinite Medium ◽  
Elliptic Inclusion ◽  
Image Field ◽  
Line Force ◽  
Force Concept

The antiplane eigenstrain problem of an elliptic inclusion in an anisotropic semi-infinite medium is investigated. Expressions for the stresses and elastic energy have been developed using the line force concept and superposition of the image field. It is shown that in the presence of a free surface the stresses inside the inclusion are not constant. In addition, the elastic energy of the system is reduced as the inclusion approaches the free surface.

scholarly journals Dispersion equation of Rayleigh waves in transversely isotropic nonlocal piezoelastic solids half-space

2019 ◽  
Vol 41 (4) ◽  
pp. 363-371
Author(s):  
Do Xuan Tung
Keyword(s):  
Free Surface ◽  
Free Boundary ◽  
Dispersion Equation ◽  
Half Space ◽  
Rayleigh Waves ◽  
Plane Waves ◽  
Transversely Isotropic ◽  
Frequency Parameter ◽  
Free Condition ◽  
Stress Free Boundary

This study is devoted to investigate the propagation of Rayleigh-type waves in transversely isotropic nonlocal piezoelastic half-space.  When the stress-free boundary is maintained at charge-free condition, the dispersion equation for the propagation of Rayleigh waves at the free surface of transversely isotropic piezoelastic solids has been obtained. Based on the obtained dispersion equation, the effect of the nonlocality on the speed of Rayleigh wave is numerically considered. The dependence of velocities of plane waves in transversely isotropic nonlocal piezoelastic medium on the direction of propagation as well as non-dimensional frequency parameter has been also illustrated.

Vertical and horizontal vibrations of a rigid disc on a multilayered transversely isotropic half-space

2014 ◽  
Vol 61-62 ◽  
pp. 135-139 ◽  
Author(s):  
Morteza Eskandari-Ghadi ◽  
Seyed Masoud Nabizadeh ◽  
Azizollah Ardeshir-Behrestaghi
Keyword(s):  
Half Space ◽  
Transversely Isotropic ◽  
Rigid Disc

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

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