On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: Toward the derivation of constitutive laws of the rate type |
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| Authors: | Amit Acharya Aarti Sawant |
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| Affiliation: | Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA |
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| Abstract: | A non-perturbative approach to the time-averaging of nonlinear, autonomous ordinary differential equations is developed based on invariant manifold methodology. The method is implemented computationally and applied to model problems arising in the mechanics of solids. |
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| Keywords: | Time-averaging Coarse graining Nonlinear ODE systems Wiggly energy |
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