Nonlinear resultant theory of shells accounting for thermodiffusion

被引：9

作者：

Eremeyev, Victor A. ^{[1
]}

Pietraszkiewicz, Wojciech ^{[1
,2
]}

机构：

[1] Gdansk Univ Technol, Fac Civil & Environm Engn, Ul Gabriela Narutowicza 11-12, PL-80233 Gdansk, Poland

[2] Don State Tech Univ, Gagarina Sq 1, Rostov Na Donu 344000, Russia

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2021年 / 33卷 / 04期

关键词：

Thermodiffusion; Nonlinear shell; Thermodynamics; Resultant shell theory; TRANSMISSION CONDITIONS; THERMODYNAMIC THEORY; PHASE-TRANSITIONS; CONTINUUM; STRESS; DIFFUSION; THERMOMECHANICS; DEFORMATION; MIXTURES; MODEL;

D O I：

10.1007/s00161-020-00927-8

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The complete nonlinear resultant 2D model of shell thermodiffusion is developed. All 2D balance laws and the entropy imbalance are formulated by direct through-the-thickness integration of respective 3D laws of continuum thermodiffusion. This leads to a more rich thermodynamic structure of our 2D model with several additional 2D fields not present in the 3D parent model. Constitutive equations of elastic thermodiffusive shells are discussed in more detail. They are formulated from restrictions imposed by the resultant 2D entropy imbalance according to Coleman-Noll procedure extended by a set of 2D constitutive equations based on heuristic assumptions.

引用

页码：893 / 909

页数：17

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