Consideration is given to highly elastic materials which may deform subject to a three-dimensional system of constraints, such as would be produced by three sets of ideally thin, flexible inextensible cords whose paths are defined by the coordinate curves of a general curvilinear reference frame related to points in the undeformed body. When the cords of each set lie initially in parallel straight lines, the equations governing the deformation may be solved in terms of arbitrary functions. The nature of the solution for the general case is also examined.
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