The in situ thermoplastic tape placement process is increasingly applied for manufacturing of composite structures. Compared to the fi lamentwinding process, it provides several additional fl exibilities such as the possibility to manufacture nonrotational structures, even with concave curves and free fibre orientation. Considerable savings in terms of time and costs can be achieved with an in ...

An asymmetric pairing over groups of composite order is a bilinear map e : G1 ×G2 → GT for groups G1 and G2 of composite order N = pq. We observe that a recent construction of pairing-friendly elliptic curves in this setting by Boneh, Rubin, and Silverberg exhibits surprising and unprecedented structure: projecting an element of the order-N group G1 ⊕G2 onto the bilinear groups G1 and G2 requir...

Spline knots based on Bézier curves or B-splines can exhibit a knot type that is different from that exhibited by its control polygon, i.e., the spline and its control polygon are not ambient isotopic. By forming composite knots from suitably designed building blocks the difference in knottedness of the two 1-manifolds can be made arbitrarily large.

Thermal mismatch stresses in the ceramic particles of a Cu–ZrW2O8 composite were calculated using a finite-element model, and found to be high enough to trigger a pressure-induced phase transformation, in agreement with previous measurements by X-ray diffraction. The calculated thermal expansion/contraction curves also agree with previous experimental dilatometric results. 2004 Elsevier Ltd. Al...

Elliptic curves are the basis for a relative new class of public-key schemes. It is predicted that elliptic curves will replace many existing schemes in the near future. It is thus of great interest to develop algorithms which allow efficient implementations of elliptic curve crypto systems. This thesis deals with such algorithms. Efficient algorithms for elliptic curves can be classified into ...

In implementation of elliptic curve cryptography, three kinds of finite fields have been widely studied, i.e. prime field, binary field and optimal extension field. In pairing-based cryptography, however, pairingfriendly curves are usually chosen among ordinary curves over prime fields and supersingular curves over extension fields with small characteristics. In this paper, we study pairings on...

A composite dust grain model which is consistent with the observed interstellar extinction and linear polarization is presented. The composite grain is made up of a host silicate spheroid and graphite inclusions. The extinction efficiencies of the composite spheroidal grains for three axial ratios are computed using the discrete dipole approximation (DDA). The interstellar extinction curve is e...

This article features a large statistical database on the tensile properties of natural fibre reinforced composite laminates. The data presented here corresponds to a comprehensive experimental testing program of several composite systems including: different material constituents (epoxy and vinyl ester resins; flax, jute and carbon fibres), different fibre configurations (short-fibre mats, uni...

In this expository paper we describe four primality tests. The first test is very efficient, but is only capable of proving that a given number is either composite or ‘very probably’ prime. The second test is a deterministic polynomial time algorithm to prove that a given numer is either prime or composite. The third and fourth primality tests are at present most widely used in practice. Both t...