Second Order Perturbations in the Randall-Sundrum Infinite Brane-World Model

We discuss the non-linear gravitational interactions in the Randall-Sundrum single brane model. If we naively write down the 4-dimensional effective action integrating over the fifth dimension with the aid of the decomposition with respect to eigen modes of 4-dimensional d'Alembertian, the Kaluza-Klein mode coupling seems to be ill-defined. We carefully analyze second order perturbations of the gravitational field induced on the 3-brane under the assumption of the static and axial-symmetric 5-dimensional metric. It is shown that there remains no pathological feature in the Kaluza-Klein mode coupling after the summation over all different mass modes. Furthermore, the leading Kaluza-Klein corrections are shown to be sufficiently suppressed in comparison with the leading order term which is obtained by the zero mode truncation. We confirm that the 4-dimensional Einstein gravity is approximately recovered on the 3-brane up to second order perturbations.Comment: 15 pages, 2 figures, comment and reference added, typos correcte

A Review on the Mechanical Modeling of Composite Manufacturing Processes

© 2016, The Author(s). The increased usage of fiber reinforced polymer composites in load bearing applications requires a detailed understanding of the process induced residual stresses and their effect on the shape distortions. This is utmost necessary in order to have more reliable composite manufacturing since the residual stresses alter the internal stress level of the composite part during the service life and the residual shape distortions may lead to not meeting the desired geometrical tolerances. The occurrence of residual stresses during the manufacturing process inherently contains diverse interactions between the involved physical phenomena mainly related to material flow, heat transfer and polymerization or crystallization. Development of numerical process models is required for virtual design and optimization of the composite manufacturing process which avoids the expensive trial-and-error based approaches. The process models as well as applications focusing on the prediction of residual stresses and shape distortions taking place in composite manufacturing are discussed in this study. The applications on both thermoset and thermoplastic based composites are reviewed in detail

Legal aspects of LADO from a European perspective: struggling with the burden of proof?

Common rules on most aspects of the asylum process are now in force in the European Union e.g. to determine which State is responsible for determining a claim; on asylum seekers’ entitlements and obligations as regards their reception in Member States; to regulate the asylum procedure itself; and to determine who qualifies for international protection. The so-called EU asylum acquis which resulted in a Common European Asylum System (CEAS) does not stand on its own, but builds on the international refugee protection regime. EU legislation states that the CEAS is to be based on a full and inclusive application of the Geneva Convention relating to the Status of Refugees. In asylum cases the burden of proof is placed on the asylum seeker. Usually states expect asylum seekers to adduce evidence in order to substantiate their asylum claim. In recent years, there appears to be an increasing emphasis on, and interest in, the use of so-called objective or scientific evidence in asylum claims. This kind of evidence has to be placed in the different international (UN Convention on Refugees), European (European Convention on Human Rights, EU Charter, EU Directives) and national legal frameworks (UK, NL). These frameworks include the UK’s opt-outs from the second phase CEAS instruments, as discussed below. Where and how Language Analysis for the Determination of Origin (LADO) comes into the process, and the legal limitations which apply when taking LADO into account as evidence, are the focus of this chapter

Legal Aspects of LADO from a European Perspective. Struggling with the Burden of Proof?

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