05469oam 2200541 450 991082166280332120240131142153.01-85617-630-40-08-095135-X(OCoLC)857713191(MiFhGG)GVRL8DNE(EXLCZ)99255000000111472420140429d2013 uy 0engurun|---uuuuatxtccrThe finite element method its basis and fundamentals /O.C. Zienkiewicz, CBE, FRS, Previously UNESCO Professor of Numerical Methods in Engineering, International Centre for Numerical Methods in Engineering, Barcelona, Previously Director of the Institute for Numerical Methods in Engineering, University of Wales, Swansea, R.L. Taylor, Professor in the Graduate School, Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, California, J.Z. Zhu, Senior Scientist, ESI US R & D, 9891 Broken Land Parkway, Suite 200, Columbia, MarylandSeventh edition.Oxford :Butterworth-Heinemann,2013.1 online resource (xxxviii, 714 pages) illustrations (some color)Gale eBooksDescription based upon print version of record.1-85617-633-9 1-299-83345-4 Includes bibliographical references and indexes.Half Title; Author Biography; Title Page; Copyright; Dedication; Contents; List of Figures; List of Tables; Preface; 1 The Standard Discrete System and Origins of the Finite Element Method; 1.1 Introduction; 1.2 The structural element and the structural system; 1.3 Assembly and analysis of a structure; 1.4 The boundary conditions; 1.5 Electrical and fluid networks; 1.6 The general pattern; 1.7 The standard discrete system; 1.8 Transformation of coordinates; 1.9 Problems; References; 2 Problems in Linear Elasticity and Fields; 2.1 Introduction; 2.2 Elasticity equations2.2.1 Displacement function2.2.2 Strain matrix; 2.2.2.1 Strain-displacement matrix; 2.2.2.2 Volume change and deviatoric strain; 2.2.3 Stress matrix; 2.2.3.1 Mean stress and deviatoric stress; 2.2.4 Equilibrium equations; 2.2.4.1 Plane stress and plane strain problems; 2.2.4.2 Axisymmetric problems; 2.2.5 Boundary conditions; 2.2.5.1 Boundary conditions on inclined coordinates; 2.2.5.2 Normal pressure loading; 2.2.5.3 Symmetry and repeatability; 2.2.6 Initial conditions; 2.2.7 Transformation of stress and strain; 2.2.7.1 Energy; 2.2.8 Stress-strain relations: Elasticity matrix2.2.8.1 Isotropic materials2.2.8.2 Deviatoric and pressure-volume relations; 2.2.8.3 Anisotropic materials; 2.2.8.4 Initial strain-thermal effects; 2.3 General quasi-harmonic equation; 2.3.1 Governing equations: Flux and continuity; 2.3.2 Boundary conditions; 2.3.3 Initial condition; 2.3.4 Constitutive behavior; 2.3.5 Irreducible form in φ; 2.3.6 Anisotropic and isotropic forms for k: Transformations; 2.3.7 Two-dimensional problems; 2.4 Concluding remarks; 2.5 Problems; References; 3 Weak Forms and Finite Element Approximation: 1-D Problems; 3.1 Weak forms3.2 One-dimensional form of elasticity3.2.1 Weak form of equilibrium equation; 3.2.1.1 Adjoint forms; 3.3 Approximation to integral and weak forms: The weighted residual (Galerkin) method; 3.3.1 Galerkin solution of elasticity equation; 3.4 Finite element solution; 3.4.1 Requirements for finite element approximations; 3.5 Isoparametric form; 3.5.1 Higher order elements: Lagrange interpolation; 3.5.1.1 Linear shape functions; 3.5.1.2 Quadratic shape functions; 3.5.2 Integrals on the parent element: Numerical integration; 3.6 Hierarchical interpolation; 3.7 Axisymmetric one-dimensional problem3.7.1 Weak form for axisymmetric problem3.7.2 A variational notation; 3.7.3 Irreducible form for axisymmetric problem; 3.7.4 Finite element solution; 3.8 Transient problems; 3.8.1 Discrete time methods; 3.8.1.1 Stability and dissipation; 3.8.2 Semi-discretization of the problem; 3.8.2.1 Stability of modes; 3.9 Weak form for one-dimensional quasi-harmonic equation; 3.9.1 Weak form; 3.9.2 Finite element solution of quasi-harmonic problem; 3.9.3 Transient problems; 3.9.3.1 Stability; 3.10 Concluding remarks; 3.11 Problems; References4 Variational Forms and Finite Element Approximation: 1-D ProblemsThe Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field probFinite element methodFluid dynamicsFinite element method.Fluid dynamics.620/.00151825Zienkiewicz O. C440603Taylor Robert L(Robert Leroy),1934-Zhu J. Z.MiFhGGMiFhGGBOOK9910821662803321The finite element method3939190UNINA02127nam 2200481z- 450 991055737940332120211118(CKB)5400000000042105(oapen)https://directory.doabooks.org/handle/20.500.12854/73169(oapen)doab73169(EXLCZ)99540000000004210520202111d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierThe Gut Microbiome in Health and DiseaseFrontiers Media SA20191 online resource (275 p.)2-88963-003-X This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contactInfectious & contagious diseasesbicsscScience: general issuesbicsscAutoimmunityCancerGut metabolomegut microbiomeInfectious DiseaseInfectious & contagious diseasesScience: general issuesSchmidt Nathan Wedt1304498Rao Jala VenkatakrishnaedtMarie Kosiewicz MicheleedtAlard PascaleedtSchmidt Nathan WothRao Jala VenkatakrishnaothMarie Kosiewicz MicheleothAlard PascaleothBOOK9910557379403321The Gut Microbiome in Health and Disease3027491UNINA