Microscopic Bifurcation and Macroscopic Localization in Periodic Cellular Solids: Elastoplastic Analysis Based on a Homogenization Theory

• Published in: Transactions of the Japan Society of Mechanical Engineers Series A Vol. 69; no. 686; pp. 1421 - 1428
• Main Authors: OHNO, Nobutada, NOGUCHI, Hirohisa, OKUMURA, Dai
• Format: Journal Article
• Language: Japanese
• Published: The Japan Society of Mechanical Engineers 2003
• Subjects: Bifurcation; Buckling; Finite Deformation Theory; Homogenization Theory; Periodic Material; Plasticity

In this work, the microscopic bifurcation leading to macroscopic localization in elastoplastic, periodic cellular solids is studied. To this end, a general framework of microscopic bifurcation analysis is established on the basis of the up-dated Lagrangian type homogenization theory developed by the...