Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids

• Published in: Journal of the mechanics and physics of solids Vol. 52; no. 3; pp. 641 - 666
• Main Authors: Okumura, D., Ohno, N., Noguchi, H.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2004
• Subjects: A. Buckling; B. Elastic–plastic material; C. Stability and bifurcation; Foam material; Microstructures; A. Buckling; Foam material; Microstructures; B. Elastic–plastic material; C. Stability and bifurcation

In this study, a general framework is developed to analyze microscopic bifurcation and post-bifurcation behavior of elastoplastic, periodic cellular solids. The framework is built on the basis of a two-scale theory, called a homogenization theory, of the updated Lagrangian type. We thus derive the e...