On the Asymptotic Behavior of Solutions of a System of Integral Equations of Mixed Boundary Value Problem of Plane Elasticity in a Neighborhood of Corner Points of the Contour

1988 ◽  
pp. 351-362
Author(s):  
Stepan Zargaryan
Keyword(s):  
Asymptotic Behavior ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Plane Elasticity ◽  
Asymptotic Behavior Of Solutions ◽  
Mixed Boundary Value Problem ◽  
System Of Integral Equations ◽  
Corner Points

The Problem of Several Indentors Moving on a Viscoelastic Half-Plane

1995 ◽  
Vol 62 (2) ◽  
pp. 380-389 ◽  
Author(s):  
H. Z. Fan ◽  
G. A. C. Graham ◽  
J. M. Golden
Keyword(s):  
Steady State ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Half Plane ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Coupled System ◽  
Mixed Boundary Value Problem ◽  
System Of Integral Equations ◽  
Space And Time

The problem of several indentors moving on a viscoelastic half-plane is considered in the noninertial approximation. The solution of this mixed boundary value problem is formulated in terms of a coupled system of integral equations in space and time. These are solved numerically in the steady-state limit for the case of two indentors. The phenomena of hysteretic friction and interaction between the two indentors are explored.

scholarly journals A mixed boundary value problem of a cracked elastic medium under torsion

2021 ◽  
pp. 10-10
Author(s):  
Belkacem Kebli ◽  
Fateh Madani
Keyword(s):  
Boundary Value Problem ◽  
Elastic Medium ◽  
Integral Equations ◽  
Integral Transformation ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Crack Problem ◽  
Fredholm Integral Equations ◽  
Mixed Boundary Value Problem ◽  
Penny Shaped Crack

The present work aims to investigate a penny-shaped crack problem in the interior of a homogeneous elastic material under axisymmetric torsion by a circular rigid inclusion embedded in the elastic medium. With the use of the Hankel integral transformation method, the mixed boundary value problem is reduced to a system of dual integral equations. The latter is converted into a regular system of Fredholm integral equations of the second kind which is then solved by quadrature rule. Numerical results for the displacement, stress and stress intensity factor are presented graphically in some particular cases of the problem.

On a Dirichlet–Neumann–Third mixed boundary value problem for the Helmholtz equation

1983 ◽  
Vol 94 (3-4) ◽  
pp. 221-233 ◽  
Author(s):  
M. David
Keyword(s):  
Boundary Value Problem ◽  
Helmholtz Equation ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Uniqueness Theorems ◽  
Equivalent System ◽  
Mixed Boundary Value Problem ◽  
Existence And Uniqueness Theorems

SynopsisExistence and uniqueness theorems are proved for the solution of a Dirichlet-Neumann-Third mixed boundary value problem for the Helmholtz equation in ℝ3. The proofs make use of an equivalent system of two integral equations of the second kind.

Mixed boundary value problem of simple support type in plane elasticity

1988 ◽  
Vol 73 (1-4) ◽  
pp. 199-212 ◽  
Author(s):  
N. Hasebe ◽  
M. Okumura ◽  
T. Takeuchi ◽  
T. Nakamura
Keyword(s):  
Boundary Value Problem ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Plane Elasticity ◽  
Mixed Boundary Value Problem ◽  
Simple Support
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