05788nam 2200733 450 991014028690332120230803195408.01-118-90913-51-118-90906-21-118-90901-1(CKB)2670000000530806(EBL)1638168(SSID)ssj0001158640(PQKBManifestationID)11622936(PQKBTitleCode)TC0001158640(PQKBWorkID)11107046(PQKB)10849633(OCoLC)876043683(MiAaPQ)EBC1638168(Au-PeEL)EBL1638168(CaPaEBR)ebr10842298(CaONFJC)MIL578584(OCoLC)871224267(EXLCZ)99267000000053080620140313h20142014 uy 0engur|n|---|||||txtccrFractional calculus with applications in mechanics wave propagation, impact and variational principles /Teodor M. Atanacković [and three others] ; series editor, Noël ChallamelLondon ;Hoboken, New Jersey :ISTE :Wiley,2014.©20141 online resource (424 p.)Mechanical Engineering and Solid Mechanics SeriesDescription based upon print version of record.1-84821-679-3 Includes bibliographical references and index.Cover; Title Page; Contents; Preface; PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES; Chapter 1. Mathematical Preliminaries; 1.1. Notation and definitions; 1.2. Laplace transform of a function; 1.3. Spaces of distributions; 1.4. Fundamental solution; 1.5. Some special functions; Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives; 2.1. Definitions of fractional integrals and derivatives; 2.1.1. Riemann-Liouville fractional integrals and derivatives2.1.1.1. Laplace transform of Riemann-Liouville fractional integrals and derivatives2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis; 2.1.3. Caputo fractional derivatives; 2.1.4. Riesz potentials and Riesz derivatives; 2.1.5. Symmetrized Caputo derivative; 2.1.6. Other types of fractional derivatives; 2.1.6.1. Canavati fractional derivative; 2.1.6.2. Marchaud fractional derivatives; 2.1.6.3. Grünwald-Letnikov fractional derivatives; 2.2. Some additional properties of fractional derivatives; 2.2.1. Fermat theorem for fractional derivative2.2.2. Taylor theorem for fractional derivatives2.3. Fractional derivatives in distributional setting; 2.3.1. Definition of the fractional integral and derivative; 2.3.2. Dependence of fractional derivative on order; 2.3.3. Distributed-order fractional derivative; PART 2. MECHANICAL SYSTEMS; Chapter 3. Waves in Viscoelastic Materials of Fractional-Order Type; 3.1. Time-fractional wave equation on unbounded domain; 3.1.1. Time-fractional Zener wave equation; 3.1.2. Time-fractional general linear wave equation; 3.1.3. Numerical examples; 3.1.3.1. Case of time-fractional Zener wave equation3.1.3.2. Case of time-fractional general linear wave equation3.2. Wave equation of the fractional Eringen-type; 3.3. Space-fractional wave equation on unbounded domain; 3.3.1. Solution to Cauchy problem for space-fractional wave equation; 3.3.1.1. Limiting case ß -> 1; 3.3.1.2. Case u0(x)...; 3.3.1.3. Case u0 (x)...; 3.3.1.4. Case u0(x)...; 3.3.2. Solution to Cauchy problem for fractionally damped space-fractional wave equation; 3.4. Stress relaxation, creep and forced oscillations of a viscoelastic rod; 3.4.1. Formal solution to systems [3.110]-[3.112], [3.113] and either [3.114] or [3.115]3.4.1.1. Displacement of rod's end Υ is prescribed by [3.120]3.4.1.2. Stress at rod's end Σ is prescribed by [3.121]; 3.4.2. Case of solid-like viscoelastic body; 3.4.2.1. Determination of the displacement u in a stress relaxation test; 3.4.2.2. Case Υ = Υ0H + F; 3.4.2.3. Determination of the stress s in a stress relaxation test; 3.4.2.4. Determination of displacement u in the case of prescribed stress; 3.4.2.5. Numerical examples; 3.4.3. Case of fluid-like viscoelastic body; 3.4.3.1. Determination of the displacement u in a stress relaxation test3.4.3.2. Determination of the stress σ in a stress relaxation test The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillaFocus series in mechanical engineering and solid mechanics.CalculusFractional calculusViscoelasticityMathematical modelsWavesMathematical modelsCalculus.Fractional calculus.ViscoelasticityMathematical models.WavesMathematical models.515Atanacković Teodor M499507Challamel Noël974470MiAaPQMiAaPQMiAaPQBOOK9910140286903321Fractional calculus with applications in mechanics2292237UNINA04448nam 2200841 a 450 991078868810332120211005220323.00-8232-4228-50-8232-4226-90-8232-4227-70-8232-4622-110.1515/9780823242276(CKB)3240000000065530(EBL)1274306(OCoLC)854974524(SSID)ssj0000601820(PQKBManifestationID)11420119(PQKBTitleCode)TC0000601820(PQKBWorkID)10566591(PQKB)10649589(StDuBDS)EDZ0000107464(MiAaPQ)EBC3239708(MiAaPQ)EBC5188687(OCoLC)821726239(MdBmJHUP)muse14126(DE-B1597)555162(DE-B1597)9780823242276(MiAaPQ)EBC1274306(Au-PeEL)EBL3239708(CaPaEBR)ebr10586766(OCoLC)923763927(OCoLC)1024265606(MiAaPQ)EBC4704477(Au-PeEL)EBL4704477(CaONFJC)MIL818169(EXLCZ)99324000000006553020120207d2012 uy 0engur|n|---|||||txtccrSpeaking about torture[electronic resource] /edited by Julie A. Carlson and Elisabeth Weber1st ed.New York Fordham University Press20121 online resource (305 p.)Includes index.0-8232-4225-0 0-8232-4224-2 Includes bibliographical references and index.pt. 1. America tortures -- pt. 2. Singularities of witness -- pt. 3. Graphic assaults, sensory overload -- pt. 4. Declassifying writing.This collection of essays is the first book to take up the urgent issue of torture from the array of approaches offered by the arts and humanities. In the post-9/11 era, where we are once again compelled to entertain debates about the legality of torture, this volume speaks about the practice in an effort to challenge the surprisingly widespread acceptance of state-sanctioned torture among Americans, including academics and the media–entertainment complex. Speaking about Torture also claims that the concepts and techniques practiced in the humanities have a special contribution to make to this debate, going beyond what is usually deemed a matter of policy for experts in government and the social sciences. It contends that the way one speaks about torture—including that one speaks about it—is key to comprehending, legislating, and eradicating torture. That is, we cannot discuss torture without taking into account the assaults on truth, memory, subjectivity, and language that the humanities theorize and that the experience of torture perpetuates. Such accounts are crucial to framing the silencing and demonizing that accompany the practice and representation of torture.Written by scholars in literary analysis, philosophy, history, film and media studies, musicology, and art history working in the United States, Europe, and the Middle East, the essays in this volume speak from a conviction that torture does not work to elicit truth, secure justice, or maintain security. They engage in various ways with the limits that torture imposes on language, on subjects and community, and on governmental officials, while also confronting the complicity of artists and humanists in torture through their silence, forms of silencing, and classic means of representation. Acknowledging this history is central to the volume’s advocacy of speaking about torture through the forms of witness offered and summoned by the humanities.Torture in literatureTorture in mass mediaAbu Ghraib.Guantánamo.Torture.censorship.representation.trauma.witnessing.Torture in literature.Torture in mass media.809/.93355Carlson Julie Ann1955-1477389Weber Elisabeth1959-403042MiAaPQMiAaPQMiAaPQBOOK9910788688103321Speaking about torture3720955UNINA