Circuits representing elastic bodies described in rectangular and cylindrical coordinates have been described by Kron, and Gross and Soroka. Networks are developed here which represent elastic bodies described in spherical coordinates. Figure 1 shows a representative block of an elastic body with stresses and face areas indicated. Stress superscripts are so arranged that the first designates the normal to the surface on which the stress acts and the second, the direction of the stress. Partial differentiation is indicated by subscript comma and appropriate variables. The body force is represented by Fα. Incremental angles are required to be small.
Proceedings of the Iowa Academy of Science
©1955 Iowa Academy of Science, Inc.
Gross, William A.
"A Network Representing Elastic Bodies in Spherical Coordinates,"
Proceedings of the Iowa Academy of Science, 62(1), 373-379.
Available at: https://scholarworks.uni.edu/pias/vol62/iss1/40