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This paper presents some improvements of a previous continuous parametric model for dynamic animation of curvilinear objects called Dynamic Material Splines (DMS). It begins with the replacement of the previous "parametric density" function by an actually "per unit length density" function. It then shows how continuous deformation energy can be used to model internal strains for DMS according to the classical theory of elasticity. After these theoretical developments, numerical results are given to point out the advantages of continuous deformation energy versus discrete springs.