Third-order bound of nonlinear composites and porous media under hydrostatic deformation |
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| Affiliation: | 1. College of Engineering, Huazhong Agricultural University, Wuhan 430070, China;2. School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | In this study the third-order variational bound is explicitly derived for nonlinear composites subject to hydrostatic deformation. By formulating the stochastic extreme principle for nonlinear boundary value problems, the third-order upper bound of the potential is derived for nonlinear two-phase composites, which is further explicitly specialized to porous media. Examples of application are provided by applying the derived bound to various cases of composites and porous media characterized with power law nonlinearity. |
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| Keywords: | Variational bounds Composites Porous media Nonlinear homogenization |
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