Twin Balance Laws for Bodies Undergoing Structured Motions

  • David R. Owen


Non-classical, structured motions provide additive decompositions of velocity into a part due to disarrangements and a part without disarrangements. An analogous decomposition of the stress in the context of structured motions leads to a decomposition of the power of the same type. In this article, a postulate of invariance of the power under superposed rigid motions, both with and without disarrangements, is used to derive two equations for balance of forces and two equations for balance of moments. These “twin” balance laws and the resulting, reduced expression for the power will provide a starting point for field theories of bodies undergoing disarrangements.


Contact Force Inertial Force Volume Density Structure Deformation Tensor Field 
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© Springer-Verlag Italia, Milano 2003

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  • David R. Owen

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