* Corresponding author, Email: [email protected], alternate contact: H. Sumali, [email protected] . † Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000. ABSTRACT The responses of micro-cantilever beams, with lengths ranging from 100...

We establish a large deviation principle for the solutions of stochastic partial differential equations for nonlinear vibration of elastic panels (also called stochastic nonlinear beam equations).

This article demonstrates a new approach for nonlinear finite element analysis. The methodology is very suitable and gives very accurate results in linear as well as in nonlinear range of the material behavior. Proposed methodology can be regarded as stress based finite element analysis as it is required to define the stress distribution within the structural body with structural idealization a...

This is the second of two papers describing a procedure for the three-dimensional nonlinear time-history analysis of steelframed buildings. An overview of the procedure and the theory for the panel zone element and the plastic hinge beam element are presented in part I. In this paper, the theory for an efficient new element for modeling beams and columns in steel frames called the elastofiber e...

We report a sensitive single-beam technique for measuring both the nonlinear refractive index and nonlinear absorption coefficient for a wide variety of materials. We describe the experimental details and present a comprehensive theoretical analysis including cases where nonlinear refraction is accompanied by nonlinear absorption. In these experiments, the transmittance of a sample is measured ...

Proton beam writing (PBW) is a new direct-write technique developed at Centre for Ion Beam Applications, National University of Singapore for creating three-dimensional, high aspect ratio microand nano-structures with straight and smooth sidewalls in resits, polymers, glasses, and other materials. Here we present some results of our initial efforts on the direct writing of photonic structures i...