Key Engineering Materials
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Vols. 340-341
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Vol. 333
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Key Engineering Materials Vols. 340-341
Paper Title Page
Abstract: Manipulation of the intrinsic localized modes (ILMs) or discrete breathers (DBs) in the one
dimensional anharmonic lattice systems is investigated. We can make a static ILM into a moving one
without any collapses of localized structure by introducing the suitable linear plane into the system.
Also we can make a moving ILM into a static one by the same way. Using these procedures, ILM’s
position in the system can be controllable. This result indicates the possibilities of applications of
ILMs in practical discrete systems in the future.
997
Abstract: A multi-scale model is proposed to explain the effect of material induced vibration and
the quantitative relation between cutting force and the surface quality from dislocations, grain
orientations, cutting tools, machine tools used in the simulation of the nano-3D surface topology
in single-point diamond turning. The model-based simulation system composes of several model
elements which include a microplasticity model, a dynamic model and an enhanced surface
topography model. The multi-scale model brings together knowledge from various disciplines to
link up physical phenomenon occurring at different length scales to explain successfully the surface
generation in single-point diamond turning of crystalline materials, and offers a new direction of
research in ultra-precision machining.
1009
Abstract: The constitutive equation of rubber is derived by employing a nonaffine molecular chain
network model for an elastic deformation behavior and the reptation theory for a viscoelastic deformation
behavior. The results reveal the roles of the individual springs and dashpot, and the strain rate dependence
of materials and disentanglement of molecular chains in the monotonic and cyclic deformation behaviors,
particularly softening and hysteresis loss, that is, the Mullins effect, occurring in stress-stretch curves under
cyclic deformation processes.
1017
Abstract: In this study, we employ the two-dimensional homogenization model based on molecular
chain network theory to investigate the micro- to macroscopic mechanical behavior of plastic foam
under macroscopic uniform compression. A parametric study is performed to quantify the effect of
a characteristic value of matrix, distribution and initial volume fraction of voids, and the
macroscopic triaxiality of loading condition on the deformation behavior of the foam. The results
suggest that the onset of localized shear band at the ligament between voids together with the
microscopic buckling of the ligament leads to the macroscopic yield of the foam. The initial
modulus and the macroscopic yield stress of the foam have no dependence on the characteristic
value of matrix. Furthermore, as the microscopic buckling of the ligament is promoted in case of
high initial volume fraction of voids and high triaxiality loading condition, the macroscopic yield
point appears at early deformation stage. After the macroscopic yield, macroscopic strain hardening
appears in the macroscopic response and a remarkable strain hardening is shown in case of high
initial volume fraction of voids and high triaxiality loading condition due to the considerable
increase of the density of the foam in these cases.
1025
Abstract: Porous materials such as engineering ceramics and metal foams have a specific feature
such that internal structure has a significant influence on the mechanical properties from the
viewpoint of porosity and morphology. This paper discusses the relationship between microscopic
morphology and macroscopic properties of the porous materials based on the homogenization
technique, in which pores are randomly distributed over the domain. Various types of pores are
examined and the conjunction between different elemental types is discussed. A wide range of
porosity is covered from a low porosity of 5% such as engineering ceramics to 80% of foam-like
materials within the same numerical strategy. It is found that the macroscopic property with low
porosity shows good agreement with both experimental curve and micromechanics prediction, in
which the elasticity coefficient is affected by morphology of internal structure. In contrast with
the low porosity, the morphology effect diminishes and is hardly observed in high porosity region
where the macroscopic stiffness is almost linear on the porosity.
1031
Abstract: In this study, we focus on the modeling of solid structures that include microstructures
observed in particle-dispersed composites. The finite element modeling can be used to clarify how the
macroscopic behaviors of solid structures are influenced by the microstructures. In such a case, if the
whole structure including the microstructures is modeled by the finite elements, an enormous number
of finite elements and enormous amount of computational time are required. To overcome such
difficulties, we propose a new method for modeling microstructures. In this method, an explicit form
of the stress-strain relation covering both elastic and elastic-plastic regions is derived from the
equivalent inclusion method proposed by Eshelby that provides mathematical solutions for stress and
strain at an arbitrary point inside and outside the inclusion. The derived elastic-plastic constitutive
equation takes account of the microstructures, so that the effect of microstructures on the macroscopic
behaviors can be obtained from the conventional finite element method by using such a constitutive
equation without modeling microstructures in the finite element analysis. The effectiveness of the
proposed constitutive equation is verified for a simple problem by comparing the results of the
one-element finite element analyses using the proposed constitutive equation with those of the
detailed finite element analyses using multi-element finite element modeling.
1037
Abstract: Microscopic stress distributions at an interlaminar area in a CFRP cross-ply laminate are
analyzed three-dimensionally using a homogenization theory in order to investigate microscopic
interaction between 0°- and 90°-plies. It is first shown that a cross-ply laminate has a point-symmetric
internal structure on the assumption that each ply in the laminate has a square array of long fibers. Next,
the point-symmetry is utilized to reduce the domain of homogenization analysis by half. Moreover, the
substructure method is combined with the homogenization theory for reducing consumption of
computational resources. The present method is then employed for analyzing stress distributions at an
interlaminar area in a carbon fiber/epoxy cross-ply laminate under in-plane off-axis tensile loading. It is
thus shown that microscopic shear stress significantly occurs at the interface between 0°- and 90°-plies.
It is also shown that the microscopic interaction between two plies is observed only in the vicinity of the
interface.
1043
Abstract: In this study, a three-dimensional finite element formulation for polycrystalline plasticity
model based on the homogenization method has been presented. The homogenization method is one
of the useful procedures, which can evaluate the homogenized macroscopic material properties with
a periodical microstructure, so-called a unit cell. The present study focuses on hexagonal metals
such as titanium or magnesium. An assessment of flow stress by the presented method is conducted
and it is clarified how the method can reproduce the behavior of hexagonal metal.
1049