The diffraction of SH waves by a finite plane crack is studied. The classical Sommerfeld solution for a semi-infinite straight reflecting screen is used as a building block to calculate the diffracted field generated by a finite crack. The solution is derived from the analysis of the behaviour of diffracted waves. These waves, which are first generated at the edges of the crack, travel along th...

However, in reality most interfaces are not planar on both micro and macro scales. The purpose of this study is to investigate the interaction between elastic waves and a slightIy non-planar interface. The method of asymptotic analysis is used to derive elose form solutions for the problem of reflection and scattering of a time-harmonic SH-wave at a slightly, but otherwise arbitrarily, non-plan...

Detection and quantification of cell viability and growth in two-dimensional (2D) and three-dimensional (3D) cell cultures commonly involve harvesting of cells and therefore requires a parallel set-up of several replicates for time-lapse or dose-response studies. Thus, developing a non-invasive and touch-free detection of cell growth in longitudinal studies of 3D tumor spheroid cultures or of s...

We constrain SH and P wave velocity structures in the upper mantle beneath southern Africa, using triplicated phases recorded in the epicentral distance range of 11°–28° for one shallow event. We then explore thermal and compositional models appropriate for explaining the inferred seismic structures in the region. Both SH and P wave data suggest presence of a low velocity zone with velocity red...

A direct method is proposed to study wave dispersion in stiff unidirectional fiber-reinforced elastic random composites. The present model featured by a modified form of classical elastodynamic equations supplied with simple differential relation between the displacement field composite and mass center representative cell. Explicit formulas are derived for attenuation coefficient effective phas...

Seismic waves radiated by small crustal earthquakes are prone to multiple mode conversions caused reflection and transmission at interfaces, scattering small-scale heterogeneities in the bulk of medium. The goal this study is clarify complex interplay between volume interface reflections waveguides how it will impact energy propagation. To carry out task, we have incorporated a rigorous descrip...

We analyzed broadband and low-frequency events recorded on Mars made the first detection of horizontally polarized shear wave reflections, which help constrain crustal structure at NASA's InSight lander site. Coherent signals from five well-recorded marsquakes appear to be independent focal depth are consistent with SH-wave reflections off topmost interface (8 ± 2 km). This phase confirms exist...