Accession Number : AD0744346

Title :   On the Uniqueness of Singular Solutions to Boundary-Initial Value Problems in Linear Elastodynamics.

Descriptive Note : Technical rept.,

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

Personal Author(s) : Brockway,G. Samuel

Report Date : MAY 1972

Pagination or Media Count : 63

Abstract : The classical uniqueness theorem for the traction problem in the linearized dynamical theory of possibly non-homogeneous and anisotropic elastic solids has been generalized to encompass problems whose solutions exhibit suitably restricted stress-singularities. The types of singularities covered by the theorems obtained here include finite jump discontinuities in stress, which are familiar from known solutions to dynamical elasticity problems involving discontinuous data or non-matching boundary and initial conditions. In addition, one of the theorems established accommodates square-integrable isolated stress-infinites, such as those arising in connection with the focusing of elastic waves. (Author)

Descriptors :   (*ELASTIC PROPERTIES, *BOUNDARY VALUE PROBLEMS), LINEAR SYSTEMS, BOUNDARY VALUE PROBLEMS, MECHANICAL WAVES, ELASTIC PROPERTIES, THEOREMS, NUMERICAL INTEGRATION, STRESSES

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE