A thermomechanical modeling and simulation of viscoplastic large deformation behavior for polymeric materials (1st report, non-coaxiality of constitutive equation originated in strain rate dependence)

Daisuke Murakami, Seiichi Kobayashi, Toshikazu Torigaki, Kazuyuki Shizawa

研究成果: Article査読

8 被引用数 (Scopus)

抄録

Polymeric materials have various characteristics of deformation, e.g., strain rate dependence (viscoplasticity) at room temperature, strain localization just after initial yielding and propagation of a localized region with strain hardening. Viscoplasticity has been usually represented by a constitutive equation of plasticity with a hardening law including a plastic strain rate. However, such a modeling is not thermodynamically consistent with the hardening law dependent on strain rate. In this paper, a strain rate tensor is introduced into free energy and a thermodynamic force conjugate to this rate is newly defined. On the basis of the principle of increase of entropy and one of maximal entropy production rate, a non-coaxial constitutive equation of viscoplasticity is derived as a flow rule in which a dissipation function plays the role of plastic potential. It is shown that a strain rate dependent constitutive equation must be always non-coaxial in a thermodynamically consistent theory.

本文言語English
ページ(範囲)674-681
ページ数8
ジャーナルNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
68
4
DOI
出版ステータスPublished - 2002 4

ASJC Scopus subject areas

  • 材料科学(全般)
  • 材料力学
  • 機械工学

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