The novelty of this study is presentation of an exact solution for prediction of postbuckling behavior of shear deformable micro- and nano-scale beams based on modified couple stress theory and using principle of minimum potential energy. Timoshenko and Reddy-Levinson beam theories are applied to consider the shear deformation effect and Von Karman nonlinear kinematics is used to describe the n...

Abstract Negative Gaussian curvature in deformed surface subjected to concentrated loads is a key weakening factor on the accuracy of umbrella antennas. The negative impacts can be mitigated by increasing bending rigidity reflector surface. Thus, firstly, this paper concerned with effect based analysis circular thin plate large deflection. Exact expressions for plates are derived using analytic...

This paper examines the effect of the water sprays commonly used to cool freshly drawn glass fibers. A model has been developed using a Karman-Pohlhausen treatment of the velocity and thermal boundary layers and accounting for the evaporation of an entrained water spray. Solutions of the model equations have been calculated, and the effect of changing various process parameters is studied. Vari...

This is a tutorial on reduced chemistry modeling and sensitivity analysis using computational singular perturbation, or CSP. After briefly presenting the underlying mathematics, the exposition focuses on how to use CSP data to neglect the non-participating elementary reactions in the reaction database, to trim the number of relevant reactants, and how to identify the so-called “CSP radicals” an...

This paper develops a theoretical model for wrinkling of an elastic film on a viscoelastic layer. The film is elastic and subjected to a compressive residual strain. The viscoelastic layer is sandwiched between the film and a rigid substrate. The nonlinear von Karman plate theory is employed to model the film, and a thin-layer approximation is adopted for the viscoelastic layer. The stability o...