We present some new formulae for the solution of boundary value problems for a two-dimensional isotropic elastic body. In particular, using the so-called Dbar formalism and the method introduced by Fokas (2008) [4], we obtain integral representations of the Fourier type for the displacements appearing in boundary value problems formulated in an arbitrary convex polygon with n sides. © 2011 Else...

Mechanical stress affects and regulates many aspects of the cell, including morphology, growth, differentiation, gene expression and apoptosis. In this study we show how mechanical stress perturbs the intracellular structures of the cell and induces mechanical responses. In order to correlate mechanical perturbations to cellular responses, we used a combined fluorescence-atomic force microscope...

In this paper we present a new method to estimate optical flow for large displacements. It is based on prediction of global flow field parameters, performs better than multiresolution estimation methods and has been verified using standard test sequences as well as real-world data. Global flow field parameters can be estimated from optical flow measurements in all flow regions. They can then be...

A permutation ) ( 2 1 n π π π π  = of {1, 2,..., n} is called k-sorted if and only if , k i i ≤ −π for all . 1 n i ≤ ≤ We propose an algorithm for generating the set of all k-sorted permutations of {1, 2,..., n} in lexicographic order. An inversion occurs between a pair of ( i π , j π ) if i < j but i π > j π . Let I(n, k) denote the maximum number of inversions in k-sorted permutations. For k...

We study the asymptotic distribution of the displacements in hashing with coalesced chains, for both late-insertion and early-insertion. Asymptotic formulas for means and variances follow. The method uses Poissonization and some stochastic calculus.

In the last decade, there has been an increasing interest in compensating thermally induced errors to improve the manufacturing accuracy of modular tool systems. These modular tool systems are interfaces between spindle and workpiece and consist of several complicatedly formed parts. Their thermal behavior is dominated by nonlinearities, delay and hysteresis effects even in tools with simpler g...

Originally applied to the accurate, passive positioning of submillimetric devices, recent works proved capillary self-alignment as effective also for larger components and relatively large initial offsets. In this paper, we describe an analytic quasi-static model of 1D capillary restoring forces that generalizes existing geometrical models and extends the validity to large displacements from eq...

Recent experiments in metallic solid solutions have revealed interesting correlations between static pair-displacements and the ordering behavior of these alloys. This paper discusses a simple theoretical model which successfully explains these observations and which provides a natural framework for analyzing experimental measurements of pair-displacements and chemical correlations in solid sol...

In this study we present first the main theorem of the unfolding method in linearized elasticity. Then we prove that every displacement of a thin structure (curved rod or shell) is the sum of an elementary displacement and a warping. Thanks to the previous theorem we obtain sharp estimates of the displacements of this decomposition. Résumé. Dans cette étude on présente d’abord le théorème fonda...

13 Vertical displacements are among the most important technical parameters to evaluate the health 14 status of a bridge structure and to verify its bearing capacity. Several methods, both conventional 15 and innovative, are used for structural displacement monitoring; no one of these does allow, at the 16 same time, precision, automation, long term and dynamic monitoring without using high cos...