Thick-walled composite tubes for offshore applications : an example of stress and failure analysis for filament-wound multi-layered pipes

Acknowledgements Financial support of the part of this research by The Royal Society, The Royal Academy of Engineering, and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.Peer reviewedPostprin

A boundary integral equation method in the frequency domain for cracks under transient loading

Acknowledgments The financial support of the German Academic Exchange Service (DAAD), Engineering and Physical Sciences Research Council (EPSRC) and Advanced Research Collaboration (ARC) Programme (funded by the British Council and DAAD) is gratefully acknowledged.Peer reviewedPublisher PD

States of quantum systems and their liftings

Let H(1), H(2) be complex Hilbert spaces, H be their Hilbert tensor product and let tr2 be the operator of taking the partial trace of trace class operators in H with respect to the space H(2). The operation tr2 maps states in H (i.e. positive trace class operators in H with trace equal to one) into states in H(1). In this paper we give the full description of mappings that are linear right inverse to tr2. More precisely, we prove that any affine mapping F(W) of the convex set of states in H(1) into the states in H that is right inverse to tr2 is given by the tensor product of W with some state D in H(2). In addition we investigate a representation of the quantum mechanical state space by probability measures on the set of pure states and a representation -- used in the theory of stochastic Schroedinger equations -- by probability measures on the Hilbert space. We prove that there are no affine mappings from the state space of quantum mechanics into these spaces of probability measures.Comment: 14 page

Dissipative Heating and Thermal Fatigue Life Prediction for Structures Containing Piezoactive Layers

A coupled dynamic problem of thermo-electro-mechanics for a layered beam is formulated based on the Kirchhoff–Love hypotheses. In the case of harmonic loading, a simplified formulation is given using the single frequency approximation and the concept of complex moduli. As an example, the problem of forced vibration of a three-layer sandwich beam (aluminium alloy core covered with piezoelectric layers) with hinged ends is solved in order to investigate the accuracy and applicability of the approximate monoharmonic approach and to study the self-heating caused by the electromechanical losses in piezoactive layers and the mechanical losses in electrically passive metal layer. The thermal fatigue life was estimated assuming that the structure fails if the temperature exceeds the Curie point for piezoceramics

Internal instability as a possible failure mechanism for layered composites

Funding Financial support of part of this research by The Royal Society, The Royal Society of Edinburgh, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.Peer reviewedPostprin

Coupled thermomechanical analysis of thermoplastic composite pipe by FEM simulations

Peer reviewedPublisher PD

Linear interface crack under harmonic shear : Effects of crack's faces closure and friction

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Деятельность центральных органов власти с сфере школьного правового образования (кінець ХХ ст. – початок ХХІ ст.)

У статі досліджено діяльність центральних органів влади у сфері шкільної правової освіти.The article is devoted to the results of autor’s research on the central authorities activity in the field of school legal education in Ukraine.В статье исследовано деятельность центральных органов власти в области школьного правового образования в Украине

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

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