Abstract
The homogenized elastic-viscoplastic behavior of thick perforated plates with pore pressure is investigated for macro-material modeling. To this end, homogenized stress-strain relations of a periodic unit cell of pore-pressurized thick perforated plates under uniaxial and multiaxial loadings are analyzed using a finite element method with periodic boundary conditions. It is assumed in the analysis that the base metal of the perforated plates exhibits elastic-viscoplasticity based on Hooke’s law and Norton’s power law and has the material parameters of Mod. 9Cr-1Mo steel at 550 \(^\circ \)C. The resulting homogenized stress-strain relations are simulated using a macro-material model in which the pore-viscoplastic macro-strain rate is represented as an anisotropic power function of Terzaghi’s effective stress. It is demonstrated that this macro-material model suitably represents the macro-anisotropy, macro-volumetric compressibility, and pore pressure effect revealed in the viscoplastic range in the finite element homogenization analysis.
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Acknowledgments
This study was partially supported by a JSPS Grant-in-Aid for Scientific Research (B) (No. 24360045) and the Micro-Nano Global COE project of Nagoya University.
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Ikenoya, K., Ohno, N., Kasahara, N. (2015). Homogenized Elastic-Viscoplastic Behavior of Thick Perforated Plates with Pore Pressure. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_6
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DOI: https://doi.org/10.1007/978-3-319-14660-7_6
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