The work deals with the modeling of thermoelastic composites with regular and irregular structures. The approaches to the modeling of the effective properties include the construction of the representative volumes with account for microstructure, the effective moduli method for the mechanics of composites, and the finite element technologies for solving the problems for the representative volumes.

We study the effect of intersegment interactions on the effective bending and stretching moduli of a semiflexible polymer chain with a finite stretching modulus. For an interaction potential of a screened Debye-Hückel type renormalization of the stretching modulus is derived on the same level of approximation as the celebrated Odijk-Skolnick-Fixman result for the bending modulus. The presence o...

We show how non-trivial form fields can induce an effective potential for the dilaton and metric moduli in compactifications of type II string theory and M–theory. For particular configurations, the potential can have a stable minimum. In cosmological compactifications of type II theories, we demonstrate that, if the metric moduli become fixed, this mechanism can then lead to the stabilization ...

We derive the moduli space for the global symmetry in N = 1 supersymmetric theories. We show, at the generic points, that it coincides with the space of quasi-Nambu-Goldstone (QNG) bosons, which appear besides the ordinary Nambu-Goldstone (NG) bosons when the global symmetry G breaks down spontaneously to its subgroup H with preserving N = 1 supersymmetry. At the singular points, most of the NG...

We discuss gauge-fixing, propagators and effective potentials for topological A-brane composites in Calabi-Yau compactifications. This allows for the construction of a holomorphic potential describing the low-energy dynamics of such systems, which generalizes the superpotentials known from the ungraded case. Upon using results of homotopy algebra, we show that the string field and low energy de...

There are at least two serious moduli problems in string cosmology. The first is the possibility that moduli dominate the energy density at the time of nucleosynthesis. The second is that they may not find their minima all together. After reviewing some previously proposed solutions to these problems, we propose another: all of the moduli but the dilaton sit at points of enhanced symmetry. The ...

For every n ≥ 3, we exhibit infinitely many extremal effective divisors on M1,n, the Deligne-Mumford moduli space parameterizing stable genus one curves with n ordered marked points.

The classical moduli space M of a supersymmetric gauge theory with trivial superpotential can be stratified according to the unbroken gauge subgroup at different vacua. We apply known results about this stratification to obtain the W 6= 0 theory classical moduli space M ⊂ M, working entirely with the composite gauge invariant operators φ̂ that span M, assuming we do not know their elementary mat...

The Heavy Weight Deflectometer (HWD) test is one of the most widely used tests for assessing the structural integrity of airport pavements in a non-destructive manner. The elastic moduli of the individual pavement layers “backcalculated” from the HWD deflection measurements are effective indicators of layer condition. Most of the backcalculation programs that are currently in use do not account...