권호 표지

Interaction and multiscale mechanics

Techno-Press

  • Quarterly
  • /
  • 1976-0426(pISSN)
  • /
  • 2092-6200(eISSN)

Domain

  • Construction/Transportation ＞ Design/Analysis for Facilities

Aim & Scope

The aim of Interaction and Multiscale Mechanics: an International Journal (IMMIJ) is to provide a platform for publication of research results in which interaction and multiscale mechanics plays a vital role. This journal publishes articles with contributions in all aspects of interaction and/or multiscale problems. The problems of interaction mechanics include the interaction of two different subjects/systems, whether they are connected or not, with or without relative motion. The problems of multiscale mechanics include structural, mechanical or material systems with varying length or time scales. As many contemporary and innovative designs encompass interaction phenomena and multiscale features, papers featuring advancement of theories and applications of interaction and/or multiscale mechanics are particularly encouraged for the journal. The themes of IMMIJ cover a wide range of subjects associated with interaction and/or multiscale mechanics encountered in engineering and scientific research and practice. Typical subjects considered by the journal include: • Analytical, computational, and experimental multiscale and interaction mechanics • Fluid-structure interactions • Soil-structure interactions • Vehicle-bridge interactions • Floating and ocean structures • Computational materials science and engineering • MEMS and NEMS • Multi-physics and multi-disciplinary problems • Multiscale bio-mechanics • Other related topics

KSCI

Volume 2 Issue 3

  1. Lim, C.W.;Li, C.;Yu, J.L. 223
    https://doi.org/10.12989/imm.2009.2.3.223
    This paper presents a new nonlocal stress variational principle approach for the transverse free vibration of an Euler-Bernoulli cantilever nanobeam with an initial axial tension at its free end. The effects of a nanoscale at molecular level unavailable in classical mechanics are investigated and discussed. A sixth-order partial differential governing equation for transverse free vibration is derived via variational principle with nonlocal elastic stress field theory. Analytical solutions for natural frequencies and transverse vibration modes are determined by applying a numerical analysis. Examples conclude that nonlocal stress effect tends to significantly increase stiffness and natural frequencies of a nanobeam. The relationship between natural frequency and nanoscale is also presented and its significance on stiffness enhancement with respect to the classical elasticity theory is discussed in detail. The effect of an initial axial tension, which also tends to enhance the nanobeam stiffness, is also concluded. The model and approach show potential extension to studies in carbon nanotube and the new result is useful for future comparison.
  2. Alsaleh, Mustafa;Kitsabunnarat, Akadet;Helwany, Sam 235
    https://doi.org/10.12989/imm.2009.2.3.235
    This study illustrates the differences between the elasto-plastic cap model and Lade's model with Cosserat rotation through the analyses of two large-scale geosynthetic-reinforced soil (GRS) retaining wall tests that were brought to failure using a monotonically increasing surcharge pressure. The finite element analyses with Lade's model were able to reasonably simulate the large-scale plane strain laboratory tests. On average, the finite element analyses gave reasonably good agreement with the experimental results in terms of global performances and shear band occurrences. In contrast, the cap model was not able to simulate the development of shear banding in the tests. In both test simulations the cap model predicted failure loads that were substantially less than the measured ones.
  3. Yau, J.D. 263
    https://doi.org/10.12989/imm.2009.2.3.263
    This paper is intended to investigate interaction response of a train running over a suspension bridge undergoing support settlements. The suspension bridge is modeled as a single-span suspended beam with hinged ends and the train as successive moving oscillators with identical properties. To conduct this dynamic problem with non-homogeneous boundary conditions, this study first divides the total response of the suspended beam into two parts: the static and dynamic responses. Then, the coupled equations of motion for the suspended beam carrying multiple moving oscillators are transformed into a set of nonlinearly coupled generalized equations by Galerkin's method, and solved using the Newmark method with an incremental-iterative procedure including the three phases: predictor, corrector, and equilibrium-checking. Numerical investigations demonstrate that the present iterative technique is available in dealing with the dynamic interaction problem of vehicle/bridge coupling system and that the differential movements of bridge supports will significantly affect the dynamic response of the running vehicles but insignificant influence on the bridge response.
  4. Matsubara, Hitoshi;Yagawa, Genki 277
    https://doi.org/10.12989/imm.2009.2.3.277
    The Enriched Free Mesh Method (EFMM) is a patch-wise procedure in which both a displacement field on an element and a stress/strain field on a cluster of elements connected to a node can be defined. On the other hand, the Superconvergent Patch Recovery (SPR) is known to be an efficient post-processing procedure of the finite element method to estimate the error norm at a node. In this paper, we discuss the relationship between solutions of the EFMM and those of the SPR through several convergence studies. In addition, in order to solve the demerit of the smoothing effect on the fracture mechanics fields, we implement a singular stress field to a local patch in the EFMM, and its effectiveness is investigated.
  5. Hu, Hsin-Yun;Lai, Chiu-Kai;Chen, Jiun-Shyan 295
    https://doi.org/10.12989/imm.2009.2.3.295
    In this work, we discuss a reproducing kernel collocation method (RKCM) for solving $2^{nd}$ order PDE based on strong formulation, where the reproducing kernel shape functions with compact support are used as approximation functions. The method based on strong form collocation avoids the domain integration, and leads to well-conditioned discrete system of equations. We investigate the convergence and the computational complexity for this proposed method. An important result obtained from the analysis is that the degree of basis in the reproducing kernel approximation has to be greater than one for the method to converge. Some numerical experiments are provided to validate the error analysis. The complexity of RKCM is also analyzed, and the complexity comparison with the weak formulation using reproducing kernel approximation is presented.
  6. Wang, Yun-Che;Ko, Chi-Ching 321
    https://doi.org/10.12989/imm.2009.2.3.321
    Recent development in composites containing phase-transforming particles, such as vanadium dioxide or barium titanate, reveals the overall stiffness and viscoelastic damping of the composites may be unbounded (Lakes et al. 2001, Jaglinski et al. 2007). Negative stiffness is induced from phase transformation predicted by the Landau phase transformation theory. Although this unbounded phenomenon is theoretically supported with the composite homogenization theory, detailed stress analyses of the composites are still lacking. In this work, we analyze the stress distribution of the Hashin-Shtrikman (HS) composite and its two-dimensional variant, namely a circular inclusion in a square plate, under the assumption that the Young's modulus of the inclusion is negative. Assumption of negative stiffness is a priori in the present analysis. For stress analysis, a closed form solution for the HS model and finite element solutions for the 2D composite are presented. A static loading condition is adopted to estimate the effective modulus of the composites by the ratio of stress to average strain on the loading edges. It is found that the interfacial stresses between the circular inclusion and matrix increase dramatically when the negative stiffness is so tuned that overall stiffness is unbounded. Furthermore, it is found that stress distributions in the inclusion are not uniform, contrary to Eshelby's theorem, which states, for two-phase, infinite composites, the inclusion's stress distribution is uniform when the shape of the inclusion has higher symmetry than an ellipse. The stability of the composites is discussed from the viewpoint of deterioration of perfect interface conditions due to excessive interfacial stresses.