Thermal stresses in half-space with axisymmetric spreading of a surface inhomogeneity

1986 ◽  
Vol 22 (4) ◽  
pp. 328-332
Author(s):  
Yu. Z. Povstenko ◽  
V. M. Alekseenko
Keyword(s):  
Half Space ◽  
Thermal Stresses ◽  
Surface Inhomogeneity

The Effect of a Thin Layer Surface Inhomogeneity on Dynamic Surface Response

1978 ◽  
Vol 45 (1) ◽  
pp. 95-99 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Thin Layer ◽  
Half Space ◽  
Critical Parameter ◽  
Rigid Bodies ◽  
Layer Surface ◽  
Noticeable Effect ◽  
Dynamic Surface ◽  
Surface Inhomogeneity ◽  
Interface Waves ◽  
Surface Response

A thin layer surface inhomogeneity consisting of small, evenly distributed rigid bodies is perfectly bonded to an elastic half space. Constant normal and shear line loads are applied to the layer and the dynamic surface response is calculated by Laplace transform techniques. The product of the layer thickness and the rigid body/half-space mass densities proves to be a critical parameter in determining the response. It is found that the layer has a noticeable effect on the half-space surface response in relation to the free-surface behavior. In particular, while no standard surface-interface waves exist, evidence for small values of the critical parameter indicates the presence of pseudo-Rayleigh waves similar to those found in fluid-solid interface analyses.

NUMERICAL INVESTIGATION OF THERMOMECHANICAL PROCESSES UNDER SHORT-PULSED LASER IRRADIATION OF A HALF-SPACE

2021 ◽  
Vol 6 ◽  
pp. 55-65
Author(s):  
Kamila Storchak ◽  
◽  
Nina Yakovenko ◽  
Olga Polonevych ◽  
Irina Sribna ◽  
...  
Keyword(s):  
Residual Stress ◽  
Laser Irradiation ◽  
Half Space ◽  
Strain State ◽  
Thermal Stresses ◽  
Equations Of Motion ◽  
Thermomechanical Loading ◽  
Stress Strain ◽  
Stress Strain State ◽  
Residual Strains

The laser irradiation of metallic surfaces by intense heat sources is used for the generation of short probing pulses, which propagate into thin specimens and enable one to estimate their structure and mechanical properties within the framework of the classical acoustic approach. High thermal stresses and residual strains occur during the short-term irradiation of the surface of a construction by an energy source of high density. In the present work, we solve the axially symmetric problem of a half-space under thermomechanical loading. We take into account the influence of volume and inelastic characteristics of separate phases on the residual stress-strain state of the half-space. The statement of the problem includes: Cauchy relations, equations of motion, heat conduction equation, initial conditions, thermal and mechanical boundary conditions. The thermomechanical behavior of an isotropic material is described by the Bodner-Partom unified model of flow. The problem is solved with using the finite element technique. The numerical realization of our problem is performed with the help of step-by-step time integration. The equations of motion are integrated by the Newmark method. The residual stress-strain state is described using the method of numerical solution of the axisymmetric dynamic problem for a half-space under thermomechanical loading and the flow model. We established that microstructural transformations, which are taken into account due to the thermophase volume strain and dependence of inelastic characteristics of the material on the phase composition, significantly reduce residual inelastic strain and promote the appearance of compressive stresses. The three-zone region of residual stresses field formation is obtained.

scholarly journals The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile

2004 ◽  
Vol 2004 (40) ◽  
pp. 2123-2131
Author(s):  
J. Rokne ◽  
B. M. Singh ◽  
R. S. Dhaliwal ◽  
J. Vrbik
Keyword(s):  
Temperature Field ◽  
Half Space ◽  
Analytical Method ◽  
Thermal Stresses ◽  
Type Problem ◽  
Total Load ◽  
Arbitrary Profile ◽  
Laplace And Hankel Transforms ◽  
Transient Thermal ◽  
Optimal Heating

A solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically.

Thermal stresses in an elastic half-space

1984 ◽  
Vol 24 (3) ◽  
pp. 437-441 ◽  
Author(s):  
L. N. Germanovich ◽  
I. D. Kill'
Keyword(s):  
Half Space ◽  
Thermal Stresses ◽  
Elastic Half Space

Scattering by a surface inhomogeneity on an elastic half-space, with application to fluid-structure interaction noise

1990 ◽  
Vol 429 (1876) ◽  
pp. 203-226 ◽  
Keyword(s):  
Turbulent Flow ◽  
Half Space ◽  
Near Field ◽  
Elastic Solid ◽  
Viscous Sublayer ◽  
Elastic Half Space ◽  
Diffraction Radiation ◽  
Frequency Spectra ◽  
Low Mach Number ◽  
Surface Inhomogeneity

A harmonic point source is situated in fluid bounded by a nominally plane interface with an elastic half-space. The source is close to a small protrusion of the elastic medium into the fluid, and it is required to determine the interaction (‘diffraction’) radiation, i. e. the acoustic, elastic-body and surface (Scholte) waves produced by the scattering of the near field of the source by the protrusion. The solution of this canonical problem is applied to the prediction of acoustic and structural noise generated by low Mach number turbulent flow over an inhomogeneity on the boundary of an elastic solid. Estimates are presented of the frequency spectra of the power delivered to the various wave modes and their dependence on the elastic properties of the solid, and a comparison is made with empirical predictions of excitation of the same modes in the absence of the inhomogeneity. The scattered radiation can be significant even when the surface inhomogeneity does not penetrate beyond the viscous sublayer into the turbulent flow.

Sign in / Sign up

Export Citation Format

Share Document