Propagation of skew-symmetric unsteady shear waves from thick-walled shell in elastic space
نویسندگان
چکیده
Problems of propagation and diffraction nonstationary waves in elastic bodies are great theoretical practical importance such fields science technology as aircraft construction, shipbuilding, seismic exploration minerals, resistance structures, many others. The paper considers the problem skew-symmetric unsteady shear from a thick-walled spherical shell space. To solve problem, integral Laplace transforms dimensionless time, method incomplete separation variables was used. In image space, is reduced to an infinite system linear algebraic equations, solution which sought form exponential series. Formulas for displacement vector components stress tensor obtained. transition originals carried out using theory residues. Numerical experiments have been out, results presented graphs. obtained work can be used geophysics, seismology, design organizations construction structures underground reservoirs.
منابع مشابه
THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE
This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material. For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle o...
متن کاملNonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes
This paper investigates the transverse and torsional wave in singleand double-walled carbon nanotubes (SWCNTs and DWCNTs), focusing on the effect of carbon nanotube microstructure on wave dispersion. The SWCNTs and DWCNTs are modeled as nonlocal single and double elastic cylindrical shells. Molecular dynamics (MD) simulations indicate that the wave dispersion predicted by the nonlocal elastic c...
متن کاملPropagation of Elastic Waves in Prestressed Media
3D solutions of the dynamical equations in the presence of external forces are derived for a homogeneous, prestressed medium. 2D plane waves solutions are obtained from general solutions and show that there exist two types of plane waves, namely, quasi-P waves and quasi-SV waves. Expressions for slowness surfaces and apparent velocities for these waves are derived analytically as well as numeri...
متن کاملAdiabatic shear banding in a thick-walled steel tube
We analyze the initiation and propagation of adiabatic shear bands in a thick-walled 4340 steel tube with a V-notch in the middle. The material is modeled as strain hardening, strain-rate hardening and thermal softening. The deformations are assumed to be locally adiabatic and the effect of inertia forces is considered. Two different loadings, i.e., torsional, and combined torsional and axial p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: E3S web of conferences
سال: 2023
ISSN: ['2555-0403', '2267-1242']
DOI: https://doi.org/10.1051/e3sconf/202336501014