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Boundary element method for three-dimensional couple stress elastostatic analysis

delete2025-05-01
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PRE
AI
G
Gary F. Dargush *
DOI：10.1016/j.euromechsol.2024.105532delete
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摘要

摘要

En 中文
在本文中，首次提出了一种用于三维尺寸相关偶应力弹性静力分析的边界元公式。该方法可用于在连续介质框架内评估微观和纳米尺度下各种组件和系统的力学响应。首先，通过遵循系统的Kupradze方法获得无限空间的基本解，并推导出由点力和点偶产生的剩余核函数。然后，利用互易定理发展了边界积分表示，并提供了数值实现的细节。在此过程中，引入了正则化技术，并结合一种新颖的五节点混合位移-旋转边界元，以消除对柯西主值和Hadamard有限部分积分的需求，尽管偶应力核具有深度奇异性。研究了几个原型计算实例，以探索该新边界元法的收敛性，并阐明偶应力理论的一些有趣行为，包括三维分析的重要性。
Keyword:
Couple-stress and mean curvature vectors
Intrinsic material length scale
Boundary element method
Regularization

期刊

International Journal of Applied Mechanics 封面图
International Journal of Applied Mechanics
IF:
2.6
论文数:
385
被引数:
2.6K

机构

S
SUNY Buffalo
学者数:
443
论文数: 235
被引数: 37
引用论文

引用论文

Boundary element methods in three-dimensional thermoelasticity
errInternational Journal of Solids and Structures
IF0
err1990-01-01
err0
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errG.F. Dargush; P.K. Banerjee
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Isogeometric indirect boundary element method for solving the 3D acoustic problems
errJournal of Computational and Applied Mathematics
IF0
err2020-01-01
err0
errOAAI
errY.H. Wu; C.Y. Dong; H.S. Yang
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Mixed displacement and couple stress finite element method for anisotropic centrosymmetric materials
errEuropean Journal of Mechanics - A/Solids
IF0
err2021-01-01
err0
PREAI
errAkhilesh Pedgaonkar; Bradley T. Darrall; Gary F. Dargush
err分享
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Boundary element formulation for plane problems in size-dependent piezoelectricity
errInternational Journal for Numerical Methods in Engineering
IF0
err2016-04-01
err0
PREAI
errArezoo Hajesfandiari; Ali R. Hadjesfandiari; Gary F. Dargush
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A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
errJournal of Computational and Applied Mathematics
IF0
err2013-06-01
err0
errOAAI
errBarbara M. Johnston; Peter R. Johnston; David Elliott
err分享
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Size-dependent piezoelectricity: A 2D finite element formulation for electric field-mean curvature coupling in dielectrics
errEuropean Journal of Mechanics - A/Solids
IF0
err2015-01-01
err0
PREAI
errBradley T. Darrall; Ali R. Hadjesfandiari; Gary F. Dargush
err分享
err收藏
Couple stress based strain gradient theory for elasticity
errINTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
IF3.8
err2002-05-01
err3.1K
PREAI
errYang, F; Chong, ACM; Lam, DCC; Tong, P
err分享
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Size-dependent contact mechanics via boundary element analysis
errENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
IF4.1
err2022-03-01
err7
PREAI
errHadjesfandiari, Ali R.; Hajesfandiari, Arezoo; Dargush, Gary F.
err分享
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Effects of free-edge interface angle on bi-material shear strength
errINTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
IF9.4
err2018-08-01
err3
PREAI
errWetherhold, Robert C.; Dargush, Gary F.; Mhatre, Tapan S.
err分享
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An improved boundary-integral equation method for three dimensional elastic stress analysis
errComputers & Structures
IF0
err1974-08-01
err0
PREAI
errThomas A. Cruse
err分享
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