Begell House Inc.
International Journal for Multiscale Computational Engineering
JMC
1543-1649
16
3
2018
INTERLAMINAR SCALE EFFECT OF MULTILAYER COMPOSITE MICROBEAMS BASED ON A NEW MODIFIED COUPLE-STRESS THEORY AND THE HU–WASHIZU VARIATIONAL THEOREM
209-229
Zhen
Wu
School of Aeronautics, Northwestern Polytechnical University, Xian 710072, China
Xiaohui
Ren
School of Mechanical Engineering, Xi'an Aeronautical University, Xian 710065, China
Bin
Ji
Shanghai Key Laboratory of Spacecraft Mechanism & Shanghai Aerospace System
Engineering, Shanghai 201108, China
Wanji
Chen
School of Aeronautics, Northwestern Polytechnical University, Xian 710072, China
Few studies on the interlaminar scale effect of multilayer composite beams are reported in the published literature.
Thus, a refined higher-order zigzag model satisfying the transverse shear traction-free condition is proposed for analysis of the interlaminar scale effect of composite microbeams. The number of unknown parameters in the proposed model is independent of the number of layers. Moreover, there are only four displacement parameters in the displacement field. Differing from previous work, a three-dimensional equilibrium equation including the scale effect is proposed to accurately predict the interlaminar scale effect. It is significant that the higher-order derivatives of the displacement parameters are eliminated from the transverse shear stress components by using the three-field Hu–Washizu variational principle. By analyzing the bending behaviors of microscale composite beams, the effects of the microlength-scale parameter in each ply on the displacements and the stress of the multilayer composite beams have been investigated. The numerical results showed that with an increase in the material length constants, displacements, and in-plane stress gradually decrease, whereas the transverse shear stress at different layers does not completely decrease. Thus, the interlaminar scale effects of composite microbeams differ from those of displacements and in-plane stresses. With an increase in the number of layers, the effects of the microlength-scale length parameter on the displacements and interlaminar stresses gradually decrease.
A STAGGERED METHOD FOR THE SHALLOW WATER EQUATIONS INVOLVING VARYING CHANNEL WIDTH AND TOPOGRAPHY
231-244
Sudi
Mungkasi
Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Yogyakarta, Indonesia
Ikha
Magdalena
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute
of Technology, Bandung, Indonesia
Sri Redjeki
Pudjaprasetya
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute
of Technology, Bandung, Indonesia
Leo Hari
Wiryanto
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute
of Technology, Bandung, Indonesia
Stephen Gwyn
Roberts
Department of Mathematics,Mathematical Sciences Institute, Australian National University,
Canberra, Australia
We propose a staggered-grid finite volume method for solving the shallow water equations involving varying channel width and topography in one dimension. The method is an extension of an existing staggered conservative scheme for shallow water flows. One great advantage of the numerical method is that it does not need any Riemann solver in the flux calculation, so the numerical computation is cheap. We obtain that the method is able to solve a wide range of problems. The proposed method is well balanced and of the first order of accuracy.
UNSTEADY ANALYSIS OF A HETEROGENEOUS MATERIAL USING THE MULTISCALE SEAMLESS-DOMAIN METHOD
245-266
Yoshiro
Suzuki
Tokyo Institute of Technology, Department of Mechanical Sciences and Engineering, Tokyo
152-8552, Japan
Masato
Takahashi
Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology 2-12-1
Ookayama, Meguo-ku, Tokyo 152-8552, Japan
Akira
Todoroki
Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology 2-12-1
Ookayama, Meguo-ku, Tokyo 152-8552, Japan
Yoshihiro
Mizutani
Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology 2-12-1
Ookayama, Meguo-ku, Tokyo 152-8552, Japan
We present an unsteady analysis using the Seamless-Domain Method (SDM), which is a multiscale modeling technique.
The SDM has previously been applied to steady-state problems to demonstrate that complicated behavior in a
heterogeneous structure can be represented with relatively few points. In this article, an unsteady analysis is carried
out using SDM in the space–time domain. This domain is assumed to be composed of repeating units called "space–
time unit cells," which are discretized by coarse-grained points (CPs). The first step is a local analysis of the space–time domain consisting of multiple unit cells, which derives the space–time interpolation functions. The next step is a global analysis to obtain the variable distribution in the entire global domain using the interpolation functions. This two-scale analysis with respect to both space and time is computationally efficient, resulting in highly accurate solutions at low computational cost. A method that improves the computational accuracy by searching the optimum set of "reference CPs" given in the interpolation is also presented. We consider an example problem of two-dimensional thermal diffusion in a heterogeneous structure, and compute the solution using unsteady SDM and a conventional finite-difference method. The solutions are compared in terms of computational accuracy and time.
MULTISCALE MODELING FOR HIGH-PERFORMANCE CONCRETE: A REVIEW
267-283
Linmei
Wu
Centre for Future Materials, University of Southern Queensland, Toowoomba, QLD 4350,
Australia; College of Civil Engineering, Hunan University, Changsha 410082, PR China
Peng
Liu
Centre for Future Materials, University of Southern Queensland, Toowoomba, QLD 4350,
Australia; College of Civil Engineering, Hunan University, Changsha 410082, PR China
Zuhua
Zhang
Centre for Future Materials, University of Southern Queensland, Toowoomba, QLD 4350,
Australia; College of Civil Engineering, Hunan University, Changsha 410082, PR China
DeJu
Zhu
College of Civil Engineering, Hunan University, Changsha 410082, PR China
Hao
Wang
Centre for Future Materials, University of Southern Queensland, Toowoomba, QLD 4350,
Australia
High-performance concrete (HPC) has a complex mechanical performance due to its multiscale and multiphase composite structure. In this review, the various methods of multiscale modeling from different disciplines are summarized and discussed. The conjoint use of multiscale modeling and other methods such as image reconstruction technology for HPC is introduced. The failure mode modeling of HPC using multiscale methods is discussed. Lastly, the multiscale extended finite-element method (XFEM) for high-performance fiber-reinforced concrete (HPFRC) is elaborated. The benefits and perspectives of developing multiscale modeling techniques for HPC are presented.
MULTISCALE ANALYSIS OF PRESTRESSED CONCRETE STRUCTURES
285-301
Arturo
Moyeda
Columbia University, New York, US; Constructora Moyeda, Monterrey, México
Jacob
Fish
Civil Engineering and Engineering Mechanics, Columbia University, New York, New York
10027, USA