Accession Number : AD0671168

Title :   A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION ASSOCIATED WITH A CLASS OF WEDGE PROBLEMS,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS

Personal Author(s) : Eargle,George M.

Report Date : MAY 1968

Pagination or Media Count : 83

Abstract : The Mellin integral transform is used to investigate the displacement near the vertex of an infinite, isotropic, elastic wedge in a state of plane stress under mixed boundary conditions. Normal stresses are prescribed near the vertex and normal displacements are assumed to be zero elsewhere along the boundary. A nonlinear integro-differential equation is derived in which the unknown function is related to the desired displacement. This and a related nonlinear algebraic system are analyzed. Methods are developed to compute the solution for the special case of the wedge of vertex angle pi. These methods are extended to a more general wedge and an example of the more general computation is given. (Author)

Descriptors :   (*WEDGES, STRESSES), (*STRESSES, BOUNDARY VALUE PROBLEMS), (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL TRANSFORMS, ITERATIONS, APPROXIMATION(MATHEMATICS), TRANSCENDENTAL FUNCTIONS, BANACH SPACE, ELASTIC PROPERTIES, THESES

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE