Static analysis of functionally graded saturated porous plate rested on pasternak elastic foundation by using a new quasi-3D higher-order shear deformation theory

IF 2.2 3区工程技术 Q2 MECHANICS

Archive of Applied Mechanics Pub Date : 2023-03-13 DOI:10.1007/s00419-023-02397-1

Vu Ngoc Tru, Nguyen Văn Long, Tran Minh Tu, Vu Thi Thu Trang

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引用次数: 2

Abstract

A new quasi-3D higher-order shear deformation theory is introduced to investigate the static behaviour of functionally graded saturated porous (FGSP) plate resting on Pasternak’s elastic foundation for the first time. The governing equations are derived from eleven-unknowns higher-order shear deformation theory and using Biot’s poroelasticity theory taking into account transverse shear stress-free boundary conditions on the top and bottom surface of the plate. Three porosity distribution patterns of FGSP materials namely uniform, non-uniform symmetric and non-uniform asymmetric are considered. Navier’s technique is employed to obtain an analytical solution. The present results are compared with 3D and higher-order solutions available in the existing literature to validate the proposed model. Parametric studies show efficiency of proposed quasi-3D plate theory in analyzing FGSP thick plates, and exploring the effects of material, geometrical and elastic foundation parameters, as well as fluid compressibility, stretching effect on transverse displacement and stress field.

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基于准三维高阶剪切变形理论的帕斯捷尔纳克弹性地基上功能梯度饱和多孔板静力分析

首次引入准三维高阶剪切变形理论，研究了功能梯度饱和多孔(FGSP)板在帕斯捷尔纳克弹性地基上的静力行为。控制方程由11未知数高阶剪切变形理论和Biot的孔隙弹性理论推导，考虑板的上下表面的横向无剪切边界条件。考虑了FGSP材料均匀、非均匀对称和非均匀不对称三种孔隙率分布模式。采用纳维耶的方法得到解析解。本文的结果与现有文献中可用的三维和高阶解进行了比较，以验证所提出的模型。参数化研究表明，所提出的准三维板理论可以有效地分析FGSP厚板，并探讨材料、几何和弹性基础参数以及流体压缩性、拉伸效应对横向位移和应力场的影响。

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

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.