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The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
Autore Zienkiewicz O. C
Edizione [Seventh edition.]
Pubbl/distr/stampa Oxford, UK : , : Butterworth-Heinemann, , [2013]
Descrizione fisica 1 online resource (xxxviii, 714 p.)
Disciplina 620/.00151825
Altri autori (Persone) TaylorR. L
ZhuJ. Z
Soggetto topico Structural analysis (Engineering)
Continuum mechanics
Finite element method
Soggetto genere / forma Electronic books.
ISBN 1-85617-630-4
0-08-095135-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 equations
2.2.1 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 matrix
2.2.8.1 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 forms
3.2 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 problem
3.7.1 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; References
4 Variational Forms and Finite Element Approximation: 1-D Problems
Record Nr. UNISA-996426332003316
Zienkiewicz O. C  
Oxford, UK : , : Butterworth-Heinemann, , [2013]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
The finite element method : its basis and fundamentals / / O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
Autore Zienkiewicz O. C
Edizione [Seventh edition.]
Pubbl/distr/stampa Oxford, UK : , : Butterworth-Heinemann, , [2013]
Descrizione fisica 1 online resource (xxxviii, 714 p.)
Disciplina 620/.00151825
Altri autori (Persone) TaylorR. L
ZhuJ. Z
Soggetto topico Structural analysis (Engineering)
Continuum mechanics
Finite element method
Soggetto genere / forma Electronic books.
ISBN 1-85617-630-4
0-08-095135-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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 equations
2.2.1 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 matrix
2.2.8.1 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 forms
3.2 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 problem
3.7.1 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; References
4 Variational Forms and Finite Element Approximation: 1-D Problems
Record Nr. UNINA-9910452742803321
Zienkiewicz O. C  
Oxford, UK : , : Butterworth-Heinemann, , [2013]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu
The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu
Autore Zienkiewicz Olek C
Edizione [Seventh edition.]
Pubbl/distr/stampa Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014
Descrizione fisica 1 online resource (xxxvi, 544 pages)
Disciplina 620.10601515353
Altri autori (Persone) TaylorR. L
NithiarasuP
Soggetto topico Structural analysis (Engineering)
Continuum mechanics
Finite element method
Soggetto genere / forma Electronic books.
ISBN 0-08-095137-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910453494103321
Zienkiewicz Olek C  
Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The finite element method for solid & structural mechanics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, D.D. Fox
The finite element method for solid & structural mechanics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, D.D. Fox
Autore Zienkiewicz O. C
Edizione [Seventh edition.]
Pubbl/distr/stampa Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014
Descrizione fisica 1 online resource (xxxi, 624 p.)
Disciplina 624.1/71
Altri autori (Persone) TaylorR. L
FoxD. D
Soggetto topico Structural analysis (Engineering)
Continuum mechanics
Finite element method
Soggetto genere / forma Electronic books.
ISBN 0-08-095136-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910453687103321
Zienkiewicz O. C  
Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui