We are concerned with a variant of the isoperimetric problem, which in our setting arises geometrically nonlinear two-well problem elasticity. More precisely, we investigate optimal scaling energy an elastic inclusion fixed volume for is determined by surface and (anisotropic) contribution. Following ideas from Conti Schweizer ( Commun. Pure Appl. Math. 59 (2006), 830–868) Knüpfer Kohn Proc. R....

String vibration represents an active field of research in acoustics. Small-amplitude is often assumed, leading to simplified physical models that can be simulated efficiently. However, the inclusion nonlinear phenomena due larger string stretchings necessary capture important features, and efficient numerical algorithms are currently lacking this context. Of available techniques, many lead sch...

Shear walls are used in most of the tall buildings for carrying the lateral load. When openings for doors or windows are necessary to be existed in the shear walls, a special type of the shear walls is used called "coupled shear walls" which in some cases is stiffened by specific beams and so, called "stiffened coupled shear walls". In this paper, a mathematical method for geometrically nonline...

this paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. the cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. hamilton's principle is used to d...

This paper investigates the development of a novel framework and its implementation for the nonlinear tuning of nano/microresonators. Using geometrically exact mechanical formulations, a nonlinear model is obtained that governs the transverse and longitudinal dynamics of multilayer microbeams, and also takes into account rotary inertia effects. The partial differential equations of motion are d...

The recent improvements in turbomachinery design combined to the unavoidable requirements of kerosene savings require to analyze the exceptional operating regime of bladed disks, for which large deformations and large displacements can occur. It seems then quite appropriate to consider the geometrically nonlinear effects in the computational models dedicated to the analysis of mistuned turbomac...