Plane Elasticity and Half-Plane Contacts

2021 ◽  
pp. 15-37
Author(s):  
David A. Hills ◽  
Hendrik N. Andresen
Keyword(s):  
Half Plane ◽  
Plane Elasticity

The transverse flexure of thin elastic plates supported at several points

1957 ◽  
Vol 53 (3) ◽  
pp. 728-743 ◽  
Author(s):  
W. A. Bassali
Keyword(s):  
Exact Solutions ◽  
Circular Plate ◽  
Half Plane ◽  
Plane Elasticity ◽  
Infinite Plane ◽  
Elastic Plates ◽  
Thin Circular Plate ◽  
Boundary Points ◽  
Explicit Formulae ◽  
Thin Elastic Plates

ABSTRACTThis paper depends upon the method developed by Kolossoff and Muskhelishvili for problems of plane elasticity and later extended to plate problems by Lechnitzky. Exact solutions in closed forms are obtained for the problem of a thin circular plate supported at several interior or boundary points and normally loaded over the area of an eccentric circle, the load being symmetrical with respect to the centre of the circle and the boundary of the plate being free. Explicit formulae for the deflexion, the bending and twisting moments and shearing stresses are given at any point of the plate. As limiting cases plates in the form of the infinite plane and half plane are also considered.

Approximate Solution Of A Singular Integral Equation With A Multiplicative Cauchy Kernel In The Half-Plane

2008 ◽  
Vol 8 (2) ◽  
pp. 143-154 ◽  
Author(s):  
P. KARCZMAREK
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Singular Integral Equation ◽  
Half Plane ◽  
Singular Integral ◽  
Trigonometric Polynomials ◽  
Cauchy Kernel

AbstractIn this paper, Jacobi and trigonometric polynomials are used to con-struct the approximate solution of a singular integral equation with multiplicative Cauchy kernel in the half-plane.

Rayleigh Wave in a Rotating Magneto-Thermo-Elastic Half-Plane

2012 ◽  
Vol 42 (4) ◽  
Author(s):  
Baljeet Singh ◽  
Sangeeta Kumari ◽  
Jagdish Singh
Keyword(s):  
Rayleigh Wave ◽  
Half Plane

The Crack Problem for an Orthotropic Half Plane Stiffened by Elastic Films

1992 ◽  
Author(s):  
R. Mahajan ◽  
F. Erdogan ◽  
Y. T. Chou
Keyword(s):  
Half Plane ◽  
Crack Problem
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