# Accession Number:

## AD0671168

# Title:

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

# Descriptive Note:

# Corporate Author:

## NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1968-05-01

# Pagination or Media Count:

## 83.0

# 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:

# Subject Categories:

- Theoretical Mathematics
- Mechanics