Canonical representation of influence functions in elastic media
type: Item
instance of: scholarly article
title: Canonical representation of influence functions in elastic media
zbMATH Open document ID: 0633.73025
DOI: 10.1016/0093-6413(87)90069-3
author: Sinnathurai Vijayakumar
author: Donald E. Cormack
published in: Mechanics Research Communications
publication date: 1987-01-01T00:00:00Z
review text: In linear elasticity, the influence functions due to various concentrated forces are usually given as complicated algebraic expressions. Although these different functions are derived from a common basis, the precise interrelationships are hidden by the algebraic complexities. On the other hand, the expressions for these functions become particularly simple if the coordinate axes happen to be properly aligned with the load and field points. Even in an arbitrarily oriented coordinate system, it is possible to represent the influence functions by means of a compact matrix formulation, which recognizes the tensor characteristics of the functions. It is shown how the influence functions for point loads of single forces and double forces can be decomposed, and represented in a very simple matrix structure. The representation effectively isolates the functional dependence of the influence functions on the load point-to-field point distance from the coordinate axis orientation, and makes the interrelationships between the various influence functions more apparent. Furthermore, using the canonical representation, influence functions for the point displacement discontinuities are defined.
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 4031113
zbMATH Keywords: influence functions
zbMATH Keywords: compact matrix formulation
zbMATH Keywords: tensor characteristics
zbMATH Keywords: point loads
zbMATH Keywords: single forces
zbMATH Keywords: double forces
zbMATH Keywords: matrix structure
zbMATH Keywords: point displacement discontinuities
MaRDI profile type: Publication
full work available at URL: 0093-6413(87)90069-3
OpenAlex ID: W2073559017
description: scientific article; zbMATH DE number 4031113