Abstract
In the brief note entitled “On Conservation Laws for Dissipative Systems” [4], a new method for constructing conservation laws was proposed. This method was termed the “Neutral Action (NA)” method in [5]. For any system governed by a set of differential equations, the NA method offers a systematic approach for determination of conservation laws applicable to the system. It is the purpose of the present paper to establish conservation laws for one- and two-dimensional viscoelasticy (Voigt model) via the NA method. The conservation laws derived should prove useful in studies of fracture and defects in a viscoelastic material.
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N. Chien, T. Honein and G. Herrmann,Dissipative Systems, Conservation Laws and Symmetries, 1991, to be published.
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Chien, N., Honein, T. & Herrmann, G. Conservation laws for linear viscoelasticity. Z. angew. Math. Phys. 44, 44–52 (1993). https://doi.org/10.1007/BF00914352
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DOI: https://doi.org/10.1007/BF00914352