Effective solution of boundary value problems of the theory of thermopiezoelasticity for a half-plane

2013 ◽  
Author(s):  
Manana Chumburidze ◽  
David Lekveishvili
Keyword(s):  
Boundary Value Problems ◽  
Half Plane ◽  
Boundary Value ◽  
Effective Solution

The half-plane diffraction problem for harmonic time dependence

1959 ◽  
Vol 252 (1270) ◽  
pp. 411-417 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Time Dependence ◽  
Boundary Value Problems ◽  
Half Plane ◽  
Mixed Type ◽  
Boundary Value ◽  
Diffraction Problem ◽  
Two Dimensional ◽  
Conducting Screen ◽  
Plane Diffraction

Green’s functions are obtained for the boundary-value problems of mixed type describing the general two-dimensional diffraction problems at a screen in the form of a half-plane (Sommerfeld’s problem), applicable to acoustically rigid or soft screens, and to the full electromagnetic field at a perfectly conducting screen.

Vibratory Motion of a Body on an Orthotropic Half Plane

1972 ◽  
Vol 39 (4) ◽  
pp. 1033-1040 ◽  
Author(s):  
J. M. Freedman ◽  
L. M. Keer
Keyword(s):  
Boundary Value Problems ◽  
Half Plane ◽  
Previous Investigation ◽  
Boundary Value ◽  
Orthotropic Materials ◽  
Vibratory Motion ◽  
Rocking Motion

Three boundary-value problems for an orthotropic half plane are solved. They correspond to the cases studied in a previous investigation by Karasudhi, Keer, and Lee [9] for a body undergoing independent vertical, horizontal, and rocking motion. Dynamic stiffnesses are computed for three typical orthotropic materials: beryllium, ice, and a steel-mylar composite.

scholarly journals Effective Solution of a Class of Boundary Value Problems of Thermoelasticity in Generalized Cylindrical Coordinates

2004 ◽  
Vol 11 (3) ◽  
pp. 495-514
Author(s):  
N. Khomasuridze
Keyword(s):  
Boundary Value Problems ◽  
Elastic Body ◽  
Boundary Value ◽  
Thermal Characteristics ◽  
Curvilinear Coordinates ◽  
Effective Solution ◽  
Cylindrical Coordinates ◽  
Cartesian System ◽  
Transversally Isotropic ◽  
Orthogonal Curvilinear Coordinates

Abstract A class of static boundary value problems of thermoelasticity is effectively solved for bodies bounded by coordinate surfaces of generalized cylindrical coordinates ρ, α, 𝑧 (ρ, α are orthogonal curvilinear coordinates on the plane and 𝑧 is a linear coordinate). Besides in the Cartesian system of coordinates some boundary value thermoelasticity problems are separately considered for a rectangular parallelepiped. An elastic body occupying the domain Ω = {ρ 0 < ρ < ρ 1, α 0 < α < α 1, 0 < 𝑧 < 𝑧1}, is considered to be weakly transversally isotropic (the medium is weakly transversally isotropic if its nine elastic and thermal characteristics are correlated by one or several conditions) and non-homogeneous with respect to 𝑧.

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