Begell House
International Journal for Multiscale Computational Engineering
International Journal for Multiscale Computational Engineering
1543-1649
16
3
2018
INTERLAMINAR SCALE EFFECT OF MULTILAYER COMPOSITE MICROBEAMS BASED ON A NEW MODIFIED COUPLE-STRESS THEORY AND THE HUâ€“WASHIZU VARIATIONAL THEOREM
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 Huâ€“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.
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
209-229
A STAGGERED METHOD FOR THE SHALLOW WATER EQUATIONS INVOLVING VARYING CHANNEL WIDTH AND TOPOGRAPHY
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.
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
231-244