Initial Stresses in a Twisted Porous Fluid-Saturated Cylinder

IF 1.8 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2024-09-12 DOI:10.1007/s10659-024-10086-5

Alexander Suvorov

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Abstract

In this paper a porous fluid-saturated cylinder subjected to a finite twist deformation is analyzed. The material of the skeleton of the porous cylinder is hyperelastic of Ogden-type and assumed nearly incompressible. The twist is applied to the cylinder in a fast rate so that the fluid pressure develops in the pores of the cylinder. The main objective of this paper is to study the stresses and the fluid pressure in the cylinder over a short period of time after the twist has been applied, or to study the initial response. The analytical expressions for the stress components and the fluid pressure are derived for Ogden material with arbitrary material parameters. The quantitative picture for the stress state is given and the signs of the normal stresses are explained. The stress arising in some imaginary fibers that were initially parallel to the axis of the cylinder is obtained. The present problem is similar to the torsion problem of a totally incompressible and nonporous cylinder in a sense that the total stresses are identical in both problems. But decomposition of the total stresses into the fluid pressure and the effective stresses, which is specific for the fluid-saturated body, can be found only using the present analysis.

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扭曲多孔流体饱和圆柱体中的初始应力

本文分析了受有限扭转变形影响的多孔饱和流体圆柱体。多孔圆柱体的骨架材料为奥格登型超弹性材料，假定几乎不可压缩。扭转以较快的速度施加到圆柱体上，从而在圆柱体的孔隙中产生流体压力。本文的主要目的是研究施加扭转后短时间内圆柱体中的应力和流体压力，或研究初始响应。本文推导了具有任意材料参数的奥格登材料的应力分量和流体压力的分析表达式。给出了应力状态的定量图像，并解释了法向应力的符号。得出了最初平行于圆柱体轴线的一些假想纤维中产生的应力。本问题类似于完全不可压缩的无孔圆柱体的扭转问题，从某种意义上说，两个问题中的总应力是相同的。但是，只有采用本分析方法，才能将总应力分解为流体压力和有效应力，这是流体饱和体所特有的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Elasticity 工程技术-材料科学：综合

CiteScore

3.70

自引率

15.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.