30,820 research outputs found
An analytical model of layered continuous beams with partial interaction
Starting with the geometrically non-linear formulation and the subsequent linearization, this paper presents a consistent formulation of the exact mechanical analysis of geometrically and materially linear three-layer continuous planar beams. Each layer of the beam is described by the geometrically linear beam theory. Constitutive laws of layer materials and relationships between interlayer slips and shear stresses at the interface are assumed to be linear elastic. The formulation is first applied in the analysis of a three-layer simply supported beam. The results are compared to those of Goodman and Popov (1968) and to those obtained from the formulation of the European code for timber structures, Eurocode 5 (1993). Comparisons show that the present and the Goodman and Popov (1968) results agree completely, while the Eurocode 5 (1993) results differ to a certain degree. Next, the analytical solution is used in formulating a general procedure for the analysis of layered continuous beams. The applications show the qualitative and quantitative effects of the layer and the interlayer slip stiffnesses on internal forces, stresses and deflections of composite continuous beams
Solitons in the Higgs phase -- the moduli matrix approach --
We review our recent work on solitons in the Higgs phase. We use U(N_C) gauge
theory with N_F Higgs scalar fields in the fundamental representation, which
can be extended to possess eight supercharges. We propose the moduli matrix as
a fundamental tool to exhaust all BPS solutions, and to characterize all
possible moduli parameters. Moduli spaces of domain walls (kinks) and vortices,
which are the only elementary solitons in the Higgs phase, are found in terms
of the moduli matrix. Stable monopoles and instantons can exist in the Higgs
phase if they are attached by vortices to form composite solitons. The moduli
spaces of these composite solitons are also worked out in terms of the moduli
matrix. Webs of walls can also be formed with characteristic difference between
Abelian and non-Abelian gauge theories. We characterize the total moduli space
of these elementary as well as composite solitons. Effective Lagrangians are
constructed on walls and vortices in a compact form. We also present several
new results on interactions of various solitons, such as monopoles, vortices,
and walls. Review parts contain our works on domain walls (hep-th/0404198,
hep-th/0405194, hep-th/0412024, hep-th/0503033, hep-th/0505136), vortices
(hep-th/0511088, hep-th/0601181), domain wall webs (hep-th/0506135,
hep-th/0508241, hep-th/0509127), monopole-vortex-wall systems (hep-th/0405129,
hep-th/0501207), instanton-vortex systems (hep-th/0412048), effective
Lagrangian on walls and vortices (hep-th/0602289), classification of BPS
equations (hep-th/0506257), and Skyrmions (hep-th/0508130).Comment: 89 pages, 33 figures, invited review article to Journal of Physics A:
Mathematical and General, v3: typos corrected, references added, the
published versio
Polystyrene-based nanocomposites with different fillers: fabrication and mechanical properties
The paper presents a comprehensive analysis of elastic properties of
polystyrene-based nanocomposites filled with different types of inclusions:
small spherical particles (SiO2 and Al2O3), alumosilicates (montmorillonite,
halloysite natural tubules and Mica) and carbon nanofillers (carbon black and
multi-walled carbon nanotubes). Composites were fabricated by melt technology.
The analysis of composite melts showed that the introduction of
Montmorillonite, Multi-walled carbon nanotubes, and Al2O3 particles provided an
increase in melt viscosity by an average of 2 to 5 orders of magnitude over the
pure polystyrene. Block samples of composites with different filler
concentrations were prepared, and their linear and nonlinear elastic properties
were studied. The introduction of more rigid particles led to a more profound
increase in the elastic modulus of the composite, with the highest rise of
about 80% obtained with carbon fillers. Carbon black particles provided also an
enhanced strength at break of about 20% higher than that of pure polystyrene.
The nonlinear elastic moduli of composites were shown to be more sensitive to
addition of filler particles to the polymer matrix than the linear ones. The
nonlinearity coefficient comprising the combination of linear and
nonlinear elastic moduli of a material demonstrated considerable changes
correlating with changes of the Young's modulus. The absolute value of
showed rise in 1.5-1.6 times in the CB- and HNT-containing composites as
compared to that of pure PS. The changes in nonlinear elasticity of fabricated
composites were compared with measurements of the parameters of bulk nonlinear
strain waves in them. Variations of wave velocity and decay decrement
correlated with observed enhancement of materials nonlinearity
Duality covariant non-BPS first order systems
We study extremal black hole solutions to four dimensional N=2 supergravity
based on a cubic symmetric scalar manifold. Using the coset construction
available for these models, we define the first order flow equations implied by
the corresponding nilpotency conditions on the three-dimensional scalar momenta
for the composite non-BPS class of multi-centre black holes. As an application,
we directly solve these equations for the single-centre subclass, and write the
general solution in a manifestly duality covariant form. This includes all
single-centre under-rotating non-BPS solutions, as well as their
non-interacting multi-centre generalisations.Comment: 31 pages, v2: Discussion of the quadratic constraint clarified,
references added, typos corrected, published versio
Locking-free two-layer Timoshenko beam element with interlayer slip
A new locking-free strain-based finite element formulation for the numerical treatment of linear static analysis of two-layer planar composite beams with interlayer slip is proposed. In this formulation, the modified principle of virtual work is introduced as a basis for the finite element discretization. The linear kinematic equations are included into the principle by the procedure, similar to that of Lagrangian multipliers. A strain field vector remains the only unknown function to be interpolated in the finite element implementation of the principle. In contrast with some of the displacement-based and mixed finite element formulations of the composite beams with interlayer slip, the present formulation is completely locking-free. Hence, there are no shear and slip locking, poor convergence and stress oscillations in these finite elements. The generalization of the composite beam theory with the consideration of the Timoshenko beam theory for the individual component of a composite beam represents a substantial contribution in the field of analysis of non-slender composite beams with an interlayer slip. An extension of the present formulation to the non-linear material problems is straightforward. As only a few finite elements are needed to describe a composite beam with great precision, the new finite element formulations is perfectly suited for practical calculations. (c) 2007 Elsevier B.V. All rights reserved
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Micromechanical response of fibre-reinforced materials using the boundary element technique
The Boundary Element Method (BEM) and the Embedded Cell Approach (ECA) have been used to analyse the effects of constituent material properties and fibre spatial distribution on the localised behaviour of a transversely loaded, unidirectional fibre-reinforced composite. The geometrical structures examined were perfectly periodic, uniformly spaced fibre arrangements in square and hexagonal embedded cells and ten cells in which 60 fibres were randomly placed within the matrix. The models involve both elastic fibres and matrix, with the interfaces between the different phases being fully bonded. The results indicate that both the fibre packing and the material properties of the constituent phases have a significant effect on the overall stress distribution and the magnitude of localised stress concentrations within a composite. Non-periodic arrangements give rise to higher local stresses, and the magnitudes of these stress concentrations have a strong dependence on the ligament length (distance between the two neighbouring fibres that have a common high-stress region), and to a lesser extent on the angle relative to the applied load (angle between a plane containing the two fibre centres and the applied load). Furthermore, analysis of a three-phase composite, comprised of a mixture of both stiff and compliant fibres, had higher stress concentrations than the equivalent two-phase composites
D-brane effective action and tachyon condensation in topological minimal models
We study D-brane moduli spaces and tachyon condensation in B-type topological
minimal models and their massive deformations. We show that any B-type brane is
isomorphic with a direct sum of `minimal' branes, and that its moduli space is
stratified according to the type of such decompositions. Using the
Landau-Ginzburg formulation, we propose a closed formula for the effective
deformation potential, defined as the generating function of tree-level open
string amplitudes in the presence of D-branes. This provides a direct link to
the categorical description, and can be formulated in terms of holomorphic
matrix models. We also check that the critical locus of this potential
reproduces the D-branes' moduli space as expected from general considerations.
Using these tools, we perform a detailed analysis of a few examples, for which
we obtain a complete algebro-geometric description of moduli spaces and strata.Comment: 36 page
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