Paper Title:
C1 Natural Element Method for Couple-Stress Elasticity
  Abstract

The shape functions in C1 natural element method (C1 NEM) are built upon the natural neighbor interpolation (NNI), and realize the interpolation to nodal function and nodal gradient values, so that the essential boundary conditions (EBCs) can be imposed directly in a Galerkin scheme for the partial differential equations (PDEs). In the present paper, C1 NEM for couple-stress (CS) elasticity is constructed, and the typical example which has analytical solutions is presented to illustrate the effectiveness of the constructed method.

  Info
Periodical
Chapter
Chapter 1: Vibration Engineering
Edited by
Paul P. Lin and Chunliang Zhang
Pages
370-373
DOI
10.4028/www.scientific.net/AMM.105-107.370
Citation
R. J. Han, Z. F. Nie, "C1 Natural Element Method for Couple-Stress Elasticity", Applied Mechanics and Materials, Vols. 105-107, pp. 370-373, 2012
Online since
September 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Martinos Ostoja-Starzewski, X. Du, Z.F. Khisaeva, W. Li
Abstract:The Representative Volume Element (so-called RVE) is the corner stone of continuum mechanics. In this paper we examine the scaling to RVE in...
201
Authors: Sina Amini Niaki, Reza Naghdabadi
Chapter 8: Machining
Abstract:Stress distribution in Carbon Nanotube (CNT) reinforced composites is studied using nonlocal theory of elasticity. Two nearby CNTs are...
1696
Authors: Suhas Ankalkhope, Nilesh Jadhav, Sunil Bhat
Chapter 5: Dynamics of Mechanical System
Abstract:Stress solutions are reviewed for some typical cases of axisymmetric and non-axisymmetric loads over a structural member with the principles...
1026
Authors: H. M Wu, Z. Y. Ou
Chapter 11: Materials and Processing Technologies
Abstract:When the characteristic sizes of materials and elements reduce to nanometers, the influence of surface energy becomes prominent in its...
2656