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基于昂萨格变分原理的粘弹性与粘塑性统一分析

Unified Analysis of Viscoelasticity and Viscoplasticity Using the Onsager Variational Principle.

作者信息

Cho Kwang Soo

机构信息

Department of Polymer Science and Engineering, Kyungpook National University, Daegu 41566, Republic of Korea.

出版信息

Entropy (Basel). 2025 Jan 10;27(1):55. doi: 10.3390/e27010055.

DOI:10.3390/e27010055
PMID:39851675
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11764575/
Abstract

This study is the application of the Onsager variational principle to viscoelasticity and viscoplasticity with the minimization of the assumptions which are popularly used in conventional approaches. The conventional approaches assume Kröner-Lee decomposition, incompressible plastic deformation, flowing rule, stress equation and so on. These assumptions have been accumulated by many researchers for a long time and have shown many successful cases. The large number of successful assumptions leads to the conjecture that the mechanics can be described with a smaller number of assumptions. This paper shows that this conjecture is correct by using the Onsager variational principle.

摘要

本研究将昂萨格变分原理应用于粘弹性和粘塑性,尽量减少传统方法中普遍使用的假设。传统方法假设了克勒纳-李分解、不可压缩塑性变形、流动法则、应力方程等。这些假设是许多研究人员长期积累的成果,并且已经有许多成功的案例。大量成功的假设引发了这样一种推测,即可以用更少的假设来描述力学。本文通过使用昂萨格变分原理证明了这一推测是正确的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/02fa522d2b65/entropy-27-00055-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/be328e358fd6/entropy-27-00055-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/1b673c872c10/entropy-27-00055-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/02fa522d2b65/entropy-27-00055-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/be328e358fd6/entropy-27-00055-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/1b673c872c10/entropy-27-00055-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac1a/11764575/02fa522d2b65/entropy-27-00055-g003.jpg

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本文引用的文献

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Onsager's variational principle in active soft matter.昂萨格变分原理在活性软物质中的应用。
Soft Matter. 2021 Apr 7;17(13):3634-3653. doi: 10.1039/d0sm02076a. Epub 2021 Jan 22.
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A comprehensive constitutive law for waxy crude oil: a thixotropic yield stress fluid.一种用于含蜡原油的综合本构定律:一种触变性屈服应力流体。
Soft Matter. 2014 Sep 21;10(35):6619-44. doi: 10.1039/c4sm00578c.
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Onsager's variational principle in soft matter.昂萨格变分原理在软物质中的应用。
J Phys Condens Matter. 2011 Jul 20;23(28):284118. doi: 10.1088/0953-8984/23/28/284118. Epub 2011 Jun 27.
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Ann N Y Acad Sci. 1945 Nov 30;46:241-65. doi: 10.1111/j.1749-6632.1945.tb36170.x.
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