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Matrix and Dyadic Representation of Stress and Strain

응력과 변형률의 Dyad와 행렬에 의한 표현

  • Published : 2000.02.01

Abstract

Stress and strain in continuum mechanics have a mathematical form of the second order tensor. it is well-known that the usefulness of tensor components could be explained in a relation with coordin ates system transformation and Mohr's circle could be easily used to make a coordinate system transformation of tensors. However, Mohr's circle is applied mainly to plane problems and its use to three dimensional cases is limitedly employed. In this paper, we propose a matrix and dyadic representation of stress and strain tensors which could equivalently replace the graphical representation of second order tensors. The use of the proposed representation might provide a valuable means for the educational respects as well as research view point.

Keywords

Dyad;Matrix;Stress;Strain

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