This paper develops a theoretical model for wrinkling of an elastic film on an elastic–plastic metal layer caused by cyclic temperatures. The film is compressively strained and bonded to the metal layer, which in turn lies on a thick substrate. The thermal expansion mismatch between the metal and the substrate induces a biaxial stress, which is assumed to be large enough to cause the metal to d...

one of the most important structural components of engine compartment assembly in a car body is the srail. s-rails has significant role in absorbing energy during crash events and therefore it is designed for efficient behavior in such conditions. driving the peak crushing force of the s-rails is one of the important objectives in the design process of such structures. peak crushing force is ex...

many of nonlinear systems in the field of engineering such as nano-resonator and atomic force microscope can be modeled based on duffing equation. analytical frequency response of this system helps us analyze different interesting nonlinear behaviors appearing in its response due to its rich dynamics. in this paper, the general form of duffing equation with cubic nonlinearity as well as paramet...

This paper is concerned with the elastic buckling of pumpkin-shaped balloon structures. Pumpkin balloons, currently being used in the NASA Ultra-Long Duration Ballooning (ULDB) Program, consist of stiff meridional tendons that constrain a thin, highly curved plastic surface. The present study exploits the high degree of symmetry of this design by adopting a newly developed, closed form expressi...

This is the second paper in a series concerned with the precise characterization of the elastic fields due to inclusions embedded in a finite elastic medium. In this part, an exact and closed form solution is obtained for the elastic fields of a circular inclusion embedded in a finite circular representative volume element (RVE), which is subjected to the traction (Neumann) boundary condition. ...

in this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on elastic foundation and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equ...

This paper reports an analytical and numerical study of localized bending waves in a thin elastic isotropic semi-infinite strip with a rib reinforment. Such waves can be considered as spatially non-uniform bending perturbations localized near free edges, similar to Rayleigh waves decaying exponentially with the distance. From the analysis of localized bending waves in thin elastic structures it...

ABSTRACT. In a previous work by the first author with J. Turi [2], a stochastic variational inequality has been introduced to model an elasto-plastic oscillator with noise. A major advantage of the stochastic variational inequality is to overcome the need to describe the trajectory by phases (elastic or plastic). This is useful, since the sequence of phases cannot be characterized easily. In pa...