Plates, laminates and shells : asymptotic analysis and homogenization / / T. Lewinski, J.J. Telega

• Record Nr.: UNINA9911006547303321
• Autore: Lewinski T
• Pubbl/distr/stampa: Singapore ; ; River Edge, N.J., : World Scientific, c2000
• ISBN: 9789812813695; 9812813691; 9781615838714; 1615838716
• Descrizione fisica: 1 online resource (765 p.)
• Collana: Series on advances in mathematics for applied sciences ; ; vol. 52
• Altri autori (Persone): TelegaJozef Joachim
• Disciplina: 531/.382
• Soggetti: Elastic plates and shells; Homogenization (Differential equations)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. [703]-732) and index.
• Nota di contenuto: Contents; Preface; CHAPTER I MATHEMATICAL PRELIMINARIES; Introduction; 1. Function spaces, convex analysis, variational convergence; 1.1. Function spaces: LP and Sobolev spaces; 1.1.1. Lebesgue spaces LP; 1.1.2. Sobolev spaces and trace operators; 1.2. Elements of convex analysis and duality, minimization theorems, multivalued mappings; 1.2.1. Convex sets and functions; 1.2.2. Minimization theorems; 1.2.3. Normal integrands, integral functionals and Rockafellar's theorem; 1.2.4. Quasiconvexity and A-quasiconvexity; 1.2.5. Elements of the duality theory; 1.2.6. Set-valued maps; 1.3. Variational convergence of sequences of operators and functionals1.3.1. G-convergence; 1.3.2. H-convergence and the energy method; 1.3.3. Two-scale convergence; 1.3.4. Γ-convergence; 1.3.5. Γ-convergence of sequence of nonconvex functionals convex in highest-order derivatives: non-uniform homogenization; 1.3.6. Γ-convergence and duality; 1.3.7. Convergence of sets in Kuratowski's sense; 1.4. Two approximation results; 1.5. An augmented Lagrangian method for problems with unilateral constraints; CHAPTER II ELASTIC PLATES; Introduction; 2. Three-dimensional analysis and effective models of composite plates2.1. Equilibrium problem of a periodic plate; 2.2. Family of problems (Pε); 2.3. Asymptotic analysis. Effective moduli and local problems; 2.4. Case of transverse symmetry; 2.5. Centrosymmetry of the periodicity cell; 2.6. On computing effective stiffnesses; 2.7. Case of moderately thick periodicity cells; 2.8. Case of thin periodicity cells. Derivation by imposing Kirchhoff's constraints; 2.9. Case of transversely slender periodicity cells of constant thickness; 3. Thin plates in bending and stretching3.1. Kirchhoff type description; 3.2. Asymptotic homogenization. In-plane scaling approach; 3.3. Refined scaling approach; 3.4. Variational formulae for effective stiffnesses; 3.5. Correctors; 3.6. Variational formulae for effective compliances. Dual effective potential; 3.7. Transversely symmetric plates periodic in one direction; 3.8. Ribbed plates. Bending problem; 3.8.1. Formula of Francfort and Murat for stiffnesses; 3.8.2. Ribbed plates of higher rank with the stronger phase taken as an envelope; 3.8.3. Formula of Lurie-Cherkaev-Fedorov for stiffnesses
• Sommario/riassunto: This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models.A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for e

The Bronx / / Evelyn Gonzalez

• Record Nr.: UNINA9910956656303321
• Autore: Gonzalez Evelyn Diaz
• Pubbl/distr/stampa: New York, : Columbia University Press, c2004
• ISBN: 9780231121156; 0231121156; 9780231508353; 0231508352
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (xii, 263 pages) : illustrations, maps
• Collana: Columbia history of urban life
• Disciplina: 974.7/275
• Soggetti: City and town life - New York (State) - New York - History; Social problems - New York (State) - New York - History; Bronx (New York, N.Y.) History; Bronx (New York, N.Y.) Social conditions; New York (N.Y.) History; New York (N.Y.) Social conditions
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. [217]-248) and index.
• Nota di contenuto: Front matter -- CONTENTS -- LIST OF MAPS -- LIST OF TABLES -- ACKNOWLEDGMENTS -- 1. The Bronx and Its Neighborhoods -- 2. Early Beginnings -- 3. The Changing Landscape -- 4. Emerging Neighborhoods -- 5. Boosting a Borough -- 6. Urban Neighborhoods -- 7. The South Bronx -- 8. The Road Back -- Notes -- Bibliography -- Index
• Sommario/riassunto: Home to the New York Yankees, the Bronx Zoo, and the Grand Concourse, the Bronx was at one time a haven for upwardly mobile second-generation immigrants eager to leave the crowded tenements of Manhattan in pursuit of the American dream. Once hailed as a "wonder borough" of beautiful homes, parks, and universities, the Bronx became-during the 1960's and 1970's-a national symbol of urban deterioration. Thriving neighborhoods that had long been home to generations of families dissolved under waves of arson, crime, and housing abandonment, turning blocks of apartment buildings into ; gutted, graffiti-covered shells and empty, trash-filled lots. In this revealing history of the Bronx, Evelyn Gonzalez describes how the once-infamous New York City borough underwent one of the most successful and inspiring community revivals in American history. From its earliest beginnings as a loose cluster of commuter villages to its current status as a densely populated home for New York's growing and increasingly more diverse African American and Hispanic populations, this book shows how the Bronx interacted with and was affected by the rest of New York City as it grew from a small colony on the tip of Manhattan into a sprawling metropolis. This is the story of the clattering of elevated subways and the cacophony of crowded neighborhoods, the heady optimism of industrial progress and the despair of economic recession, and the vibrancy of ethnic cultures and the resilience of local grassroots coalitions crucial to the borough's rejuvenation. In recounting the varied and extreme transformations this remarkable community has undergone, Evelyn Gonzalez argues that it was not racial discrimination, rampant crime, postwar liberalism, or big government that was to blame for the urban crisis that assailed the Bronx during the late 1960's. Rather, the decline was inextricably connected to the same kinds of social initiatives, economic transactions, political decisions, and simple human choices that had once been central to the development and vitality of the borough. Although the history of the Bronx is unquestionably a success story, crime, poverty, and substandard housing still afflict the community today. Yet the process of building and rebuilding carries on, and the revitalization of neighborhoods and a resurgence of economic growth continue to offer hope for the future.