Accession Number : AD0663574

Title :   ON CONCENTRATED LOADS AND GREEN'S FUNCTIONS IN ELASTOSTATICS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Turteltaub,M. J. ; Sternberg,Eli

Report Date : NOV 1967

Pagination or Media Count : 107

Abstract : The investigation is concerned with the notion of concentrated loads in classical elastostatics and related issues. Following a limit treatment of problems involving concentrated internal and surface loads, the orders of the ensuing displacement and stress singularities, as well as the stress resultants of the latter, are determined. These conclusions are taken as a basis for an alternative direct formulation of concentrated-load problems, the completeness of which is established through an appropriate uniqueness theorem. In addition, the present work supplies a reciprocal theorem and an integral-representation theorem applicable to singular problems of the type under consideration. Finally, in the course of the analysis presented here, the theory of Green's functions in elastostatics is extended. (Author)

Descriptors :   (*LOADS(FORCES), *ELASTIC PROPERTIES), GREEN'S FUNCTION, STRESSES, BOUNDARY VALUE PROBLEMS, THEOREMS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE