응력과 변형률의 dyadic와 행렬에 의한 표현

초록

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 coordinates 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 are 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.