Accession Number : AD0671196

Title :   NUMERICAL TREATMENT OF MIXED BOUNDARY VALUE PROBLEMS IN TWO-DIMENSIONAL ELASTOSTATICS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES

Personal Author(s) : Feldmann,Jay W. ; Prager,W.

Report Date : JUN 1968

Pagination or Media Count : 16

Abstract : Finite difference treatment of two-dimensional problems in elastostatics is usually based on the differential equations for the displacement vector or the Airy stress function, depending on whether boundary conditions are on displacement or stress. In either case, determination of stresses requires numerical differentiation and therefore use of a rather fine grid. Moreover, neither method is suited to the treatment of mixed boundary conditions. The alternative method developed in this paper uses the first derivatives of the displacement components at the grid points as basic variables and hence does not require numerical differentiation in the evaluation of stresses. Appropriate finite difference equations are established, and their use is discussed in connection with a specific example with known explicit solution. (Author)

Descriptors :   (*STRESSES, BOUNDARY VALUE PROBLEMS), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), ELASTIC PROPERTIES, SHEAR STRESSES, LOADS(FORCES), BEAMS(STRUCTURAL), MATHEMATICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE