01815nam0 2200433 i 450 VAN005319620231214052924.443978-03-87906-13-320060925d1982 |0itac50 baengUS|||| |||||Differential forms in algebraic topologyRaoul Bott, Loring W. TuNew YorkSpringer1982XIV, 331 p.ill.24 cm001VAN00235792001 Graduate texts in mathematics210 New York [etc.]Springer8258AxxGeneral theory of differentiable manifolds [MSC 2020]VANC023312MF57RxxDifferential topology [MSC 2020]VANC023570MF14F40de Rham cohomology and algebraic geometry [MSC 2020]VANC023897MFAlgebraicKW:KAlgebraic TopologyKW:KCharacteristic classKW:KCohomologyKW:KCohomology theoryKW:KHomologyKW:KHomotopyKW:KHomotopy theoryKW:KTopologyKW:KUSNew YorkVANL000011BottRaoul1923-2005VANV04196945184TuLoring W.VANV04197052581Springer <editore>VANV108073650ITSOL20240614RICA/sebina/repository/catalogazione/documenti/Bott, Tu - Differential forms in algebraic topology.pdfContentsBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08VAN0053196BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 55-XX 0516 08 2909 I 20060925 Differential forms in algebraic topology79345UNICAMPANIA04312nam 22006135 450 991033787980332120200704045054.03-030-15330-410.1007/978-3-030-15330-4(CKB)4100000008103825(MiAaPQ)EBC5776166(DE-He213)978-3-030-15330-4(PPN)236522426(EXLCZ)99410000000810382520190502d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids /by John D. Clayton1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (488 pages)Shock Wave and High Pressure Phenomena,2197-95293-030-15329-0 Chapter1: Introduction -- Chapter2: Shock Physics Fundamentals -- Part I: Nonlinear Elasticity and Equations of State -- Chapter3: Lagrangian Formulation -- Chapter4: Eulerian Formulation -- Chapter5: Logarithmic Formulation -- Chapter6: Equations of State -- Part II: Inelasticity: Plasticity, Twinning, Fracture, and Flow -- Chapter7: Dislocation Plasticity in Single Crystals -- Chapter8: Shock Compression of Ductile Polycrystals -- Chapter9: Deformation Twinning in Single Crystals -- Chapter10: Fracture and Flow in Brittle Solids -- Part III Internal Structure: Differential-Geometric Modeling -- Chapter11: Finsler-Geometric Modeling of Structural Changes in Solids.This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.Shock Wave and High Pressure Phenomena,2197-9529MechanicsMechanics, AppliedMathematical physicsMaterials scienceClassical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Characterization and Evaluation of Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/Z17000Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Mechanics.Mechanics, Applied.Mathematical physics.Materials science.Classical Mechanics.Solid Mechanics.Mathematical Applications in the Physical Sciences.Characterization and Evaluation of Materials.Theoretical, Mathematical and Computational Physics.548548.8Clayton John Dauthttp://id.loc.gov/vocabulary/relators/aut1065394BOOK9910337879803321Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids2544992UNINA