A Nonlocal Model of Materials with Periodic Microstructure Based on Asymptotic Homogenization Method

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概要

• 論文の詳細を見る

• The asymptotic homogenization method within the framework of the updated Lagrangian formulation is employed to derive a nonlocal constitutive equation for finitely deformed rate-independent materials with a periodic microstructure. Higher-order asymptotic terms naturally introduce strain gradient terms into constitutive equations for macroscopically homogeneous materials. Macroscopic properties, which are the ensemble average of their counterparts over a microscopic unit cell, are discussed. The variational principle of macroscopically homogeneous materials is then established and the complete boundary value problem is formulated.

• 社団法人日本材料学会の論文
• 2001-06-15

著者

• Tomita Y

  Faculty Of Engineering Kobe University

• YUAN Xi

  Graduate School of Science & Technology, Kobe University

• TOMITA Yoshihiro

  Faculty of Engineering, Kobe University

• Yuan X

  Graduate School Of Science & Technology Kobe University

• Tomita Yoshihiro

  Faculty Of Engineering Kobe University

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