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  1. B200 工学部/工学研究科
  2. B200a 雑誌掲載論文
  3. 学術雑誌

A variationally consistent formulation of the thermo-mechanically coupled problem with non-associative viscoplasticity for glassy amorphous polymers

http://hdl.handle.net/2237/0002001552
http://hdl.handle.net/2237/0002001552
7aa3f03a-4a5d-4705-94ff-2b451a72ae74
名前 / ファイル ライセンス アクション
Manuscript.pdf Manuscript.pdf (5.9 MB)
Item type itemtype_ver1(1)
公開日 2021-10-21
タイトル
タイトル A variationally consistent formulation of the thermo-mechanically coupled problem with non-associative viscoplasticity for glassy amorphous polymers
言語 en
著者 Matsubara, Seishiro

× Matsubara, Seishiro

en Matsubara, Seishiro

Search repository
Terada, Kenjiro

× Terada, Kenjiro

en Terada, Kenjiro

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
内容記述
内容記述 This study presents a variationally consistent formulation of the thermo-mechanically coupled problem with non-associative viscoplasticity for glassy amorphous polymers. First, the decomposition of the equivalent plastic strain is carried out to derive the variational consistent evolution law of the shear yield strength with reference to the analogous approach taken for formulating the Armstrong-Frederick model. Second, an alternative form of the dual viscoplastic dissipation potential is proposed to recast the principle of maximum plastic dissipation for viscoplasticity to be of the same form of rate-independent plasticity with the introduction of the extended yield function. Third, we address the optimization problem relevant to the thermo-mechanically coupled behavior of glassy amorphous polymers within the incremental variational framework with the help of the parameterization of flow rules. Thanks to the achieved variational consistency, the mathematical model derived by the proposed formulation can enjoy several benefits for ensuring the stability of the strongly coupled discretized equations in the monolithic method under the condition that the material behavior is stable. In addition, since the present formulation does not require the time derivative of the shear yield strength, the resulting evolution equation accommodates the time variations of temperature in terms of its material properties, implying that it is amenable to various thermal processes other than isothermal ones. Numerical examples are presented to demonstrate the capability of the proposed formulation in simulating actual compression tests conducted on a PMMA specimen that exhibits complex thermo-mechanically coupled phenomena.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Elsevier
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
関連情報
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1016/j.ijsolstr.2020.12.004
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 00207683
書誌情報 en : International Journal of Solids and Structures

巻 212, p. 152-168, 発行日 2021-03-01
ファイル公開日
日付 2023-03-01
日付タイプ Available
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