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

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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

Author(s):
Eargle, George M.
Author Organization(s):
NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MATHEMATICS
Pagination:
0083

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-68-1373
Contract/Grant Number(s):
AF-AFOSR-444-66
Task Number(s):
974901
Project Number(s):
AF-9749
Monitor Series:
68-1373
 Subject Terms
Communities of Interest:
Air Platforms
Descriptor(s):
(*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
Field(s)/Group(s):
Theoretical Mathematics, Mechanics
Keyword(s):
TRUNCATION ERROR
Report Date:
1968 May 01