Geometrically-nonlinear beam theories are key in the development of highly-optimised, next-generation aircraft with higher-aspect-ratio wings [1]. To understand the static and dynamic characteristics of such vehicles, one needs to couple composite beam formulations with appropriate aerodynamic models with arbitrary kinematics. This requires efficient computational methods starting with the flex...

A wide range of microelectromechanical systems (MEMSs) and devices are actuated using electrostatic forces. Multiphysics modeling is required, since coupling among different fields such as solid and fluid mechanics, thermomechanics and electromagnetism is involved. This work presents an overview of models for electrostatically actuated MEMSs. Three-dimensional nonlinear formulations for the cou...

Unlike the minimally coupled gravity theory where matter is with in such a manner so that one can differentiate and sector uniquely, non-minimally theories (NMCT) are distinguished by intermingling of two. As consequence this calculation energy momentum tensor (EMT) NMCT beset an arbitrariness. In paper we provide algorithm based on well known equivalence between Jordan frame Einstein formulati...

We analyse the dynamics of an open membrane, both for the free case and when it is coupled to a background three-form, whose boundary is attached to p-branes. The role of boundary conditions and constraints in the Nambu-Goto and Polyakov formulations is studied. The low-energy approximation that effectively reduces the membrane to an open string is examined in detail. Noncommutative features of...

We give a sequence of equivalent formulations of the ADE and ÂD̂Ê height models defined on a random triangulated surface: random surfaces immersed in Dynkin diagrams, chains of coupled random matrices, Coulomb gases, and multicomponent Bose and Fermi systems representing soliton τ -functions. We also formulate a set of loop-space Feynman rules allowing to calculate easily the partition function ...

Stability-indicative determination of ertapenem (E(RTM)) and imipenem (I(MPM)) in the presence of their corresponding open-ring degradation products, the metabolites, is investigated. The degradation products have been isolated via acid-degradation, characterized, and confirmed. Selective quantification of E(RTM) or I(MPM) singly in bulk form, pharmaceutical formulations, and/or in the presence...

This paper proposes a spectral-domain approach to the electromagnetic scattering problem of lamellar grating with defects. The fields in imperfectly periodic structures have continuous spectra in the wavenumber space, and the main problem of the spectral-domain approach is connected to the discretization scheme on the wavenumber. The present approach introduces the pseudo-periodic Fourier trans...

The present paper shows that certain instabilities encountered with Nedelec-type nite element implementations of the vector wave equation can be eliminated by a family of Lagrange multiplier methods. The considered approaches can be interpreted as coupled vector and scalar potential methods, including an ungauged formulation. We advocate the latter form for use with iterative solvers. We discus...

We derive the explicit form, and discuss some properties of the moduli dependent effective potential arising from M-theory compactified on M 4 × X × S 1 /Z 2 , when one of the boundaries supports a strongly interacting gauge sector and induces gaugino condensation. We discuss the relation between the explicit gaugino condensate and effective superpotential formulations and find interesting diff...

The paper presents an optimization study based on genetic algorithms (GA’s) for a radio-frequency applicator used in heating dielectric band products. The weakly coupled electro-thermal problem is analyzed using 2D-FEM. The design variables in the optimization process are: the voltage of a supplementary “guard” electrode and six geometric parameters of the applicator. Two objective functions ar...