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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Interaction and multiscale mechanics
Journal Basic Information
Journal DOI :
Editor in Chief :
J. S. Chen / Y.B. Yang / C. S. David Chen
Volume & Issues
Volume 3, Issue 4 - Dec 2010
Volume 3, Issue 3 - Sep 2010
Volume 3, Issue 2 - Jun 2010
Volume 3, Issue 1 - Mar 2010
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A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures
Wang, Dongdong ; Fang, Lingming ;
Interaction and multiscale mechanics, volume 3, issue 3, 2010, Pages 213~234
DOI : 10.12989/imm.2010.3.3.213
A multiscale method is presented for analysis of thin slab structures in which the microstructures can not be reduced to two-dimensional plane stress models and thus three dimensional treatment of microstructures is necessary. This method is based on the classical asymptotic expansion multiscale approach but with consideration of the special geometric characteristics of the slab structures. This is achieved via a special form of multiscale asymptotic expansion of displacement field. The expanded three dimensional displacement field only exhibits in-plane periodicity and the thickness dimension is in the global scale. Consequently by employing the multiscale asymptotic expansion approach the global macroscopic structural problem and the local microscopic unit cell problem are rationally set up. It is noted that the unit cell is subjected to the in-plane periodic boundary conditions as well as the traction free conditions on the out of plane surfaces of the unit cell. The variational formulation and finite element implementation of the unit cell problem are discussed in details. Thereafter the in-plane material response is systematically characterized via homogenization analysis of the proposed special unit cell problem for different microstructures and the reasoning of the present method is justified. Moreover the present multiscale analysis procedure is illustrated through a plane stress beam example.
Investigation of allowable time-step sizes for generalized finite element analysis of the transient heat equation
O`Hara, P. ; Duarte, C.A. ; Eason, T. ;
Interaction and multiscale mechanics, volume 3, issue 3, 2010, Pages 235~255
DOI : 10.12989/imm.2010.3.3.235
This paper investigates the heat equation for domains subjected to an internal source with a sharp spatial gradient. The solution is first approximated using linear finite elements, and sufficiently small time-step sizes to yield stable simulations. The main area of interest is then in the ability to approximate the solution using Generalized Finite Elements, and again explore the time-step limitations required for stable simulations. Both high order elements, as well as elements with special enrichments are used to generate solutions. When compared to linear finite elements, the high order elements deliver better accuracy at a given level of mesh refinement, but do not offer an increase in critical time-step size. When special enrichment functions are used, the solution can be approximated accurately on very coarse meshes, while yielding solutions which are both accurate and computationally efficient. The major conclusion of interest is that the significantly larger element size yields larger allowable time-step sizes while still maintaining stability of the time-stepping algorithm.
Design and simulation of resonance based DC current sensor
Santhosh Kumar, B.V.M.P. ; Suresh, K. ; Varun Kumar, U. ; Uma, G. ; Umapathy, M. ;
Interaction and multiscale mechanics, volume 3, issue 3, 2010, Pages 257~266
DOI : 10.12989/imm.2010.3.3.257
A novel resonance based proximity DC current sensor is proposed. The sensor consists of a piezo sensed and actuated cantilever beam with a permanent magnet mounted at its free end. When the sensor is placed in proximity to a wire carrying DC current, resonant frequency of the beam changes with change in current. This change in resonant frequency is used to determine the current through the wire. The structure is simulated in micro and meso scale using COMSOL Multi physics software and the sensor is found to be linear with good sensitivity.
Nonlocal finite element modeling of the tribological behavior of nano-structured materials
Mahmoud, F.F. ; Meletis, E.I. ;
Interaction and multiscale mechanics, volume 3, issue 3, 2010, Pages 267~276
DOI : 10.12989/imm.2010.3.3.267
A nonlocal finite element model is developed for solving elasto-static frictional contact problems of nanostructures and nanoscale devices. A two dimensional Eringen-type nonlocal elasticity model is adopted. The material is characterized by a stress-strain constitutive relation of a convolution integral form whose kernel is capable to take into account both the diffusion process of nonlocal elasticity and the scale ratio effects. The incremental convex programming procedure is exploited as a solver. Two examples of different nature are presented, the first one presents the behavior of a nanoscale contacting system and the second example discusses the nano-indentation problem.
The coupling of complex variable-reproducing kernel particle method and finite element method for two-dimensional potential problems
Chen, Li ; Liew, K.M. ; Cheng, Yumin ;
Interaction and multiscale mechanics, volume 3, issue 3, 2010, Pages 277~298
DOI : 10.12989/imm.2010.3.3.277
The complex variable reproducing kernel particle method (CVRKPM) and the FEM are coupled in this paper to analyze the two-dimensional potential problems. The coupled method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, resulting in improved computational efficiency. A hybrid approximation function is applied to combine the CVRKPM with the FEM. Formulations of the coupled method are presented in detail. Three numerical examples of the two-dimensional potential problems are presented to demonstrate the effectiveness of the new method.