995 resultados para Cauchy-Born Rule


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This paper presents a multiscale study using the coupled Meshless technique/Molecular Dynamics (M2) for exploring the deformation mechanism of mono-crystalline metal (focus on copper) under uniaxial tension. In M2, an advanced transition algorithm using transition particles is employed to ensure the compatibility of both displacements and their gradients, and an effective local quasi-continuum approach is also applied to obtain the equivalent continuum strain energy density based on the atomistic poentials and Cauchy-Born rule. The key parameters used in M2 are firstly investigated using a benchmark problem. Then M2 is applied to the multiscale simulation for a mono-crystalline copper bar. It has found that the mono-crystalline copper has very good elongation property, and the ultimate strength and Young's modulus are much higher than those obtained in macro-scale.

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Damage-induced anisotropy of quasi-brittle materials is investigated using component assembling model in this study. Damage-induced anisotropy is one significant character of quasi-brittle materials coupled with nonlinearity and strain softening. Formulation of such complicated phenomena is a difficult problem till now. The present model is based on the component assembling concept, where constitutive equations of materials are formed by means of assembling two kinds of components' response functions. These two kinds of components, orientational and volumetric ones, are abstracted based on pair-functional potentials and the Cauchy - Born rule. Moreover, macroscopic damage of quasi-brittle materials can be reflected by stiffness changing of orientational components, which represent grouped atomic bonds along discrete directions. Simultaneously, anisotropic characters are captured by the naturally directional property of the orientational component. Initial damage surface in the axial-shear stress space is calculated and analyzed. Furthermore, the anisotropic quasi-brittle damage behaviors of concrete under uniaxial, proportional, and nonproportional combined loading are analyzed to elucidate the utility and limitations of the present damage model. The numerical results show good agreement with the experimental data and predicted results of the classical anisotropic damage models.

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Damage-induced anisotropy of quasi-brittle materials is investigated using component assembling model in this study. Damage-induced anisotropy is one significant character of quasi-brittle materials coupled with nonlinearity and strain softening. Formulation of such complicated phenomena is a difficult problem till now. The present model is based on the component assembling concept, where constitutive equations of materials are formed by means of assembling two kinds of components' response functions. These two kinds of components, orientational and volumetric ones, are abstracted based on pair-functional potentials and the Cauchy - Born rule. Moreover, macroscopic damage of quasi-brittle materials can be reflected by stiffness changing of orientational components, which represent grouped atomic bonds along discrete directions. Simultaneously, anisotropic characters are captured by the naturally directional property of the orientational component. Initial damage surface in the axial-shear stress space is calculated and analyzed. Furthermore, the anisotropic quasi-brittle damage behaviors of concrete under uniaxial, proportional, and nonproportional combined loading are analyzed to elucidate the utility and limitations of the present damage model. The numerical results show good agreement with the experimental data and predicted results of the classical anisotropic damage models.

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The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components' response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc.

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Unitary evolution and projective measurement are fundamental axioms of quantum mechanics. Even though projective measurement yields one of the eigenstates of the measured operator as the outcome, there is no theory that predicts which eigenstate will be observed in which experimental run. There exists only an ensemble description, which predicts probabilities of various outcomes over many experimental runs. We propose a dynamical evolution equation for the projective collapse of the quantum state in individual experimental runs, which is consistent with the well-established framework of quantum mechanics. In case of gradual weak measurements, its predictions for ensemble evolution are different from those of the Born rule. It is an open question whether or not suitably designed experiments can observe this alternate evolution.

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We propose to design a Custom Learning System that responds to the unique needs and potentials of individual students, regardless of their location, abilities, attitudes, and circumstances. This project is intentionally provocative and future-looking but it is not unrealistic or unfeasible. We propose that by combining complex learning databases with a learner’s personal data, we could provide all students with a personal, customizable, and flexible education. This paper presents the initial research undertaken for this project of which the main challenges were to broadly map the complex web of data available, to identify what logic models are required to make the data meaningful for learning, and to translate this knowledge into simple and easy-to-use interfaces. The ultimate outcome of this research will be a series of candidate user interfaces and a broad system logic model for a new smart system for personalized learning. This project is student-centered, not techno-centric, aiming to deliver innovative solutions for learners and schools. It is deliberately future-looking, allowing us to ask questions that take us beyond the limitations of today to motivate new demands on technology.

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This article wishes to contribute to the study of the historical processes that have been spotting Muslim populations as favourite targets for political analysis and governance. Focusing on the Portuguese archives, civil as well as military, the article tries to uncover the most conspicuous identity representations (mainly negative or ambivalent) that members of Portuguese colonial apparatus built around Muslim communities living in African colonies, particularly in Guinea-Bissau and Mozambique. The paper shows how these culturally and politically constructed images were related to the more general strategies by which Portuguese imagined their own national identity, both as ‘European’ and as ‘coloniser’ or ‘imperial people’. The basic assumption of this article is that policies enforced in a context of inter-ethnic and religious competition are better understood when linked to the identity strategies inherent to them. These are conceived as strategic constructions aimed at the preservation, the protection and the imaginary expansion of the subject, who looks for groups to be included in and out-groups to reject, exclude, aggress or eliminate. We think that most of the inter-ethnic relationships and conflicts, as well as the very experience of ethnicity, are born from this identity matrix.

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‘The Influence of British Rule on Elite Indian Menswear: The Birth of the Sherwani’ is a study of the influence of politics on fashion and the resulting development of new garments. This research is designed to demonstrate the effect on elite Indian menswear of the two centuries of British rule in India. It is an effort to understand how the flowing garments worn by elite Indian men in the 18th century gradually became more tailored and fitted with the passage of time. The study uses multiple sources to bring to light lesser known facts about Indian menswear, the evolution of different garments and especially of the sherwani. The sherwani is a knee-length upper garment worn by South-Asian men, and is considered to be India’s traditional menswear. My study highlights the factors responsible for the birth of the sherwani and dispels the myth that it was a garment worn by the Mughals. Simultaneously, this study examines the concept and value of ‘tradition’ in cultures. It scrutinises the reasons for the sherwani being labelled as a traditional Indian garment associated with the Mughal era, when in fact it was born towards the end of the 19th century. The study also analyses the role of the sherwani as a garment of distinction in pre- and post-independence India.

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Young children engage in a constant process of negotiating and constructing rules, utilizing these rules as cultural resources to manage their social interactions. This paper examines how young children make sense of, and also construct, rules within one early childhood classroom. This paper draws on a recent study conducted in Australia, in which video-recorded episodes of young children’s talk-in-interaction were examined. Analysis revealed four interactional practices that the children used, including manipulating materials and places to claim ownership of resources within the play space; developing or using pre-existing rules and social orders to control the interactions of their peers; strategically using language to regulate the actions of those around them; and creating and using membership categories such as ‘car owner’ or ‘team member’ to include or exclude others and also to control and participate in the unfolding interaction. While the classroom setting was framed within adult conceptions and regulations, analysis of the children’s interaction demonstrated their co-constructions of social order and imposition of their own forms of rules. Young children negotiated both adult constructed social order and also their own peer constructed social order, drawing upon various rules within both social orders as cultural resources by which they managed their interaction.

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This book analyses and refines the arguments for and against retrospective rule making, concluding that there is one really strong argument against it: the expectation that, if an individual's actions are considered by a future court, the legal consequences of that action will be determined by the law that was discoverable at the time the action was performed. This argument, which goes to the heart of the rule of law, is generally determinative. However, in some cases the argument does not run and this book suggests that, in some areas of law, reliance should be actively discouraged by prospective warnings that the law is subject to change.

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The effective management of bridge stock involves making decisions as to when to repair, remedy, or do nothing, taking into account the financial and service life implications. Such decisions require a reliable diagnosis as to the cause of distress and an understanding of the likely future degradation. Such diagnoses are based on a combination of visual inspections, laboratory tests on samples and expert opinions. In addition, the choice of appropriate laboratory tests requires an understanding of the degradation mechanisms involved. Under these circumstances, the use of expert systems or evaluation tools developed from “realtime” case studies provides a promising solution in the absence of expert knowledge. This paper addresses the issues in bridge infrastructure management in Queensland, Australia. Bridges affected by alkali silica reaction and chloride induced corrosion have been investigated and the results presented using a mind mapping tool. The analysis highights that several levels of rules are required to assess the mechanism causing distress. The systematic development of a rule based approach is presented. An example of this application to a case study bridge has been used to demonstrate that preliminary results are satisfactory.