ON A POINTWISE VARIATIONAL PRINCIPLE OF ELASTICITY AND MATHEMATICAL PHYSICS,
Abstract
A method is discussed for constructing stationary functionals for the value of the solution of a linear boundary value problem, or of the derivatives of such a solution, at a specified, but arbitrary, point. The procedure is applicable to any boundary value problem governed by a linearly elliptic partial differential equation, or a system of such equations, for which global fundamental solutions exist. The technique is particularly suited to obtain approximate results in a class of mixed boundary value problems, involving a rigid body oscillating about various axes on the surface of an elastic half-space. The procedure is illustrated by constructing stationary expressions for the solution of a mixed boundary value problem associated with the Helmholtz equation and the class of elasto-dynamic problems referred to above. Method is applied to compute the displacement on the free surface of an elastic half-space due to the torsional oscillation of a finite disk situated on the surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1963
- Accession Number
- AD0424637
Entities
People
- M. P. Stallybrass
Organizations
- SRI International