| Description |
1 online resource |
| Contents |
Machine generated contents note: 1. Preliminaries: Computer Strategies -- 1.1. Introduction -- 1.2. Hardware -- 1.3. Memory Management -- 1.4. Vector Processors -- 1.5. Multi-core Processors -- 1.6. Co-processors -- 1.7. Parallel Processors -- 1.8. Applications Software -- 1.8.1. Compilers -- 1.8.2. Arithmetic -- 1.8.3. Conditions -- 1.8.4. Loops -- 1.9. Array Features -- 1.9.1. Dynamic Arrays -- 1.9.2. Broadcasting -- 1.9.3. Constructors -- 1.9.4. Vector Subscripts -- 1.9.5. Array Sections -- 1.9.6. Whole-array Manipulations -- 1.9.7. Intrinsic Procedures for Arrays -- 1.9.8. Modules -- 1.9.9. Subprogram Libraries -- 1.9.10. Structured Programming -- 1.10. Third-party Libraries -- 1.10.1. BIAS Libraries -- 1.10.2. Maths Libraries -- 1.10.3. User Subroutines -- 1.10.4. MPI Libraries -- 1.11. Visualisation -- 1.11.1. Starting ParaView -- 1.11.2. Display Restrained Nodes -- 1.11.3. Display Applied Loads -- 1.11.4. Display Deformed Mesh -- 1.12. Conclusions -- References -- 2. Spatial Discretisation by Finite Elements -- 2.1. Introduction -- 2.2. Rod Element -- 2.2.1. Rod Stiffness Matrix -- 2.2.2. Rod Mass Element -- 2.3. Eigenvalue Equation -- 2.4. Beam Element -- 2.4.1. Beam Element Stiffness Matrix -- 2.4.2. Beam Element Mass Matrix -- 2.5. Beam with an Axial Force -- 2.6. Beam on an Elastic Foundation -- 2.7. General Remarks on the Discretisation Process -- 2.8. Alternative Derivation of Element Stiffness -- 2.9. Two-dimensional Elements: Plane Stress -- 2.10. Energy Approach and Plane Strain -- 2.10.1. Thermoelasticity -- 2.11. Plane Element Mass Matrix -- 2.12. Axisymmetric Stress and Strain -- 2.13. Three-dimensional Stress and Strain -- 2.14. Plate Bending Element -- 2.15. Summary of Element Equations for Solids -- 2.16. Flow of Fluids: Navier -- Stokes Equations -- 2.17. Simplified Flow Equations -- 2.17.1. Steady State -- 2.17.2. Transient State -- 2.17.3. Convection -- 2.18. Further Coupled Equations: Biot Consolidation -- 2.19. Conclusions -- References -- 3. Programming Finite Element Computations -- 3.1. Introduction -- 3.2. Local Coordinates for Quadrilateral Elements -- 3.2.1. Numerical Integration for Quadrilaterals -- 3.2.2. Analytical Integration for Quadrilaterals -- 3.3. Local Coordinates for Triangular Elements -- 3.3.1. Numerical Integration for Triangles -- 3.3.2. Analytical Integration for Triangles -- 3.4. Multi-Element Assemblies -- 3.5. Èlement-by-Element' Techniques -- 3.5.1. Conjugate Gradient Method for Linear Equation Systems -- 3.5.2. Preconditioning -- 3.5.3. Unsymmetric Systems -- 3.5.4. Symmetric Non-Positive Definite Equations -- 3.5.5. Eigenvalue Systems -- 3.6. Incorporation of Boundary Conditions -- 3.6.1. Convection Boundary Conditions -- 3.7. Programming using Building Blocks -- 3.7.1. Black Box Routines -- 3.7.2. Special Purpose Routines -- 3.7.3. Plane Elastic Analysis using Quadrilateral Elements -- 3.7.4. Plane Elastic Analysis using Triangular Elements -- 3.7.5. Axisymmetric Strain of Elastic Solids -- 3.7.6. Plane Steady Laminar Fluid Flow -- 3.7.7. Mass Matrix Formation -- 3.7.8. Higher-Order 2D Elements -- 3.7.9. Three-Dimensional Elements -- 3.7.10. Assembly of Elements -- 3.8. Solution of Equilibrium Equations -- 3.9. Evaluation of Eigenvalues and Eigenvectors -- 3.9.1. Jacobi Algorithm -- 3.9.2. Lanczos and Arnoldi Algorithms -- 3.10. Solution of First-Order Time-Dependent Problems -- 3.11. Solution of Coupled Navier -- Stokes Problems -- 3.12. Solution of Coupled Transient Problems -- 3.12.1. Absolute Load Version -- 3.12.2. Incremental Load Version -- 3.13. Solution of Second-Order Time-Dependent Problems -- 3.13.1. Modal Superposition -- 3.13.2. Newmark or Crank -- Nicolson Method -- 3.13.3. Wilson's Method -- 3.13.4. Complex Response -- 3.13.5. Explicit Methods and Other Storage-Saving Strategies -- References -- 4. Static Equilibrium of Structures -- 4.1. Introduction -- Program 4.1 One-dimensional analysis of axially loaded elastic rods using 2-node rod elements -- Program 4.2 Analysis of elastic pin-jointed frames using 2-node rod elements in two or three dimensions -- Program 4.3 Analysis of elastic beams using 2-node beam elements (elastic foundation optional) -- Program 4.4 Analysis of elastic rigid-jointed frames using 2-node beam/rod elements in two or three dimensions -- Program 4.5 Analysis of elastic -- plastic beams or frames using 2-node beam or beam/rod elements in one, two or three dimensions -- Program 4.6 Stability (buckling) analysis of elastic beams using 2-node beam elements (elastic foundation optional) -- Program 4.7 Analysis of plates using 4-node rectangular plate elements. Homogeneous material with identical elements. Mesh numbered in x- or y-direction -- 4.2. Conclusions -- 4.3. Glossary of Variable Names -- 4.4. Exercises -- References -- 5. Static Equilibrium of Linear Elastic Solids -- 5.1. Introduction -- Program 5.1 Plane or axisymmetric strain analysis of a rectangular elastic solid using 3-, 6-, 10- or 15-node right-angled triangles or 4-, 8- or 9-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z)-direction -- Program 5.2 Non-axisymmetric analysis of a rectangular axisymmetric elastic solid using 8-node rectangular quadrilaterals. Mesh numbered in r- or z -direction -- Program 5.3 Three-dimensional analysis of a cuboidal elastic solid using 8-, 14- or 20-node brick hexahedra. Mesh numbered in xz-planes then in the y-direction -- Program 5.4 General 2D (plane strain) or 3D analysis of elastic solids. Gravity loading option -- Program 5.5 Plane or axisymmetric thermoelastic analysis of an elastic solid using 3-, 6-, 10- or 15-node right-angled triangles or 4-, 8- or 9-node rectangular quadrilaterals. Mesh numbered in x(r)- or y (z)-direction -- Program 5.6 Three-dimensional strain of a cuboidal elastic solid using 8-, 14- or 20-node brick hexahedra. Mesh numbered in xz-planes then in the y-direction. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver -- Program 5.7 Three-dimensional strain of a cuboidal elastic solid using 8-, 14- or 20-node brick hexahedra. Mesh numbered in xz-planes then in the y-direction. No global stiffness matrix. Diagonally preconditioned conjugate gradient solver. Optimised maths library, ABAQUS UMAT version -- 5.2. Glossary of Variable Names -- 5.3. Exercises -- References -- 6. Material Non-linearity -- 6.1. Introduction -- 6.2. Stress -- strain Behaviour -- 6.3. Stress Invariants -- 6.4. Failure Criteria -- 6.4.1. Von Mises -- 6.4.2. Mohr -- Coulomb and Tresca -- 6.5. Generation of Body Loads -- 6.6. Viscoplasticity -- 6.7. Initial Stress -- 6.8. Corners on the Failure and Potential Surfaces -- Program 6.1 Plane-strain-bearing capacity analysis of an elastic -- plastic (von Mises) material using 8-node rectangular quadrilaterals. Flexible smooth footing. Load control. Viscoplastic strain method -- Program 6.2 Plane-strain-bearing capacity analysis of an elastic -- plastic (von Mises) material using 8-node rectangular quadrilaterals. Flexible smooth footing. Load control. Viscoplastic strain method. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver -- Program 6.3 Plane-strain-bearing capacity analysis of an elastic -- plastic (Mohr -- Coulomb) material using 8-node rectangular quadrilaterals. Rigid smooth footing. Displacement control. Viscoplastic strain method -- Program 6.4 Plane-strain slope stability analysis of an elastic -- plastic (Mohr -- Coulomb) material using 8-node rectangular quadrilaterals. Gravity loading. Viscoplastic strain method -- Program 6.5 Plane-strain earth pressure analysis of an elastic -- plastic (Mohr -- Coulomb) material using 8-node rectangular quadrilaterals. Rigid smooth wall. Initial stress method -- 6.9. Elastoplastic Rate Integration -- 6.9.1. Forward Euler Method -- 6.9.2. Backward Euler Method -- 6.10. Tangent Stiffness Approaches -- 6.10.1. Inconsistent Tangent Matrix -- 6.10.2. Consistent Tangent Matrix -- 6.10.3. Convergence Criterion -- Program 6.6 Plane-strain-bearing capacity analysis of an elastic -- plastic (von Mises) material using 8-node rectangular quadrilaterals, Flexible smooth footing, Load control. Consistent tangent stiffness. Closest point projection method (CPPM) -- Program 6.7 Plane-strain-bearing capacity analysis of an elastic -- plastic (von Mises) material using 8-node rectangular quadrilaterals. Flexible smooth footing. Load control. Consistent tangent stiffness. CPPM. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver -- Program 6.8 Plane-strain-bearing capacity analysis of an elastic -- plastic (von Mises) material using 8-node rectangular quadrilaterals. Flexible smooth footing. Load control. Consistent tangent stiffness. Radial return method (RR) with ̀line search' -- 6.11. Geotechnical Processes of Embanking and Excavation -- 6.11.1. Embanking -- Program 6.9 Plane-strain construction of an elastic -- plastic (Mohr -- Coulomb) embankment in layers on a foundation using 8-node quadrilaterals. Viscoplastic strain method -- 6.11.2. Excavation -- Program 6.10 Plane-strain construction of an elastic -- plastic (Mohr -- Coulomb) excavation in layers using 8-node quadrilaterals. Viscoplastic strain method -- 6.12. Undrained Analysis -- Program 6.11 Axisymmetric ùndrained' strain of an elastic -- plastic (Mohr -- Coulomb) solid using 8-node rectangular quadrilaterals. Viscoplastic strain method |
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Note continued: Program 6.12 Three-dimensional strain analysis of an elastic -- plastic (Mohr -- Coulomb) slope using 20-node hexahedra. Gravity loading. Viscoplastic strain method -- Program 6.13 Three-dimensional strain analysis of an elastic -- plastic (Mohr -- Coulomb) slope using 20-node hexahedra. Gravity loading. Viscoplastic strain method. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver -- 6.13. Glossary of Variable Names -- 6.14. Exercises -- References -- 7. Steady State Flow -- 7.1. Introduction -- Program 7.1 One-dimensional analysis of steady seepage using 2-node line elements -- Program 7.2 Plane or axisymmetric analysis of steady seepage using 4-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z) -direction -- Program 7.3 Analysis of plane free surface flow using 4-node quadrilaterals. Ànalytical' form of element conductivity matrix -- Program 7.4 General two- (plane) or three-dimensional analysis of steady seepage -- Program 7.5 General two- (plane) or three-dimensional analysis of steady seepage. No global conductivity matrix assembly. Diagonally preconditioned conjugate gradient solver -- 7.2. Glossary of Variable Names -- 7.3. Exercises -- References -- 8. Transient Problems: First Order (Uncoupled) -- 8.1. Introduction -- Program 8.1 One-dimensional transient (consolidation) analysis using 2-node ̀line' elements. Implicit time integration using the ̀theta' method -- Program 8.2 One-dimensional transient (consolidation) analysis (settlement and excess pore pressure) using 2-node ̀line' elements. Implicit time integration using the ̀theta' method -- Program 8.3 One-dimensional consolidation analysis using 2-node ̀line' elements. Explicit time integration. Element by element. Lumped mass -- Program 8.4 Plane or axisymmetric transient (consolidation) analysis using 4-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z)-direction. Implicit time integration using the ̀theta' method -- Program 8.5 Plane or axisymmetric transient (consolidation) analysis using 4-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z)-direction. Implicit time integration using the ̀theta' method. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver -- Program 8.6 Plane or axisymmetric transient (consolidation) analysis using 4-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z)-direction. Explicit time integration using the ̀theta = 0' method -- Program 8.7 Plane or axisymmetric transient (consolidation) analysis using 4-node rectangular quadrilaterals. Mesh numbered in x(r)- or y(z)-direction. ̀theta' method using an element-by-element product algorithm -- 8.2. Comparison of Programs 8.4, 8.5, 8.6 and 8.7 -- Program 8.8 General two- (plane) or three-dimensional transient (consolidation) analysis. Implicit time integration using the ̀theta' method -- Program 8.9 Plane analysis of the diffusion -- convection equation using 4-node rectangular quadrilaterals. Implicit time integration using the ̀theta' method. Self-adjoint transformation -- Program 8.10 Plane analysis of the diffusion -- convection equation using 4-node rectangular quadrilaterals. Implicit time integration using the ̀theta' method. Untransformed solution -- Program 8.11 Plane or axisymmetric transient thermal conduction analysis using 4-node rectangular quadrilaterals. Implicit time integration using the ̀theta' method. Option of convection and flux boundary conditions -- 8.3. Glossary of Variable Names -- 8.4. Exercises -- References -- 9. Coupled Problems -- 9.1. Introduction -- Program 9.1 Analysis of the plane steady-state Navier -- Stokes equation using 8-node rectangular quadrilaterals for velocities coupled to 4-node rectangular quadrilaterals for pressures. Mesh numbered in x-direction. Freedoms numbered in the order u -- p -- v -- Program 9.2 Analysis of the plane steady-state Navier -- Stokes equation using 8-node rectangular quadrilaterals for velocities coupled to 4-node rectangular quadrilaterals for pressures. Mesh numbered in x-direction. Freedoms numbered in the order u -- p -- v. Element-by-element solution using BiCGStab(l) with no preconditioning. No global matrix [ect.] -- Program 9.3 One-dimensional coupled consolidation analysis of a Biot poroelastic solid using 2-node ̀line' elements. Freedoms numbered in the order v -- uw -- Program 9.4 Plane strain consolidation analysis of a Biot elastic solid using 8-node rectangular quadrilaterals for displacements coupled to 4-node rectangular quadrilaterals for pressures. Freedoms numbered in order u -- v -- uw. Incremental load version -- Program 9.5 Plane strain consolidation analysis of a Biot elastic solid using 8-node rectangular quadrilaterals for displacements coupled to 4-node rectangular quadrilaterals for pressures. Freedoms numbered in order u -- v -- uw. Incremental load version. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient [ect.] -- Program 9.6 Plane strain consolidation analysis of a Biot poroelastic -- plastic (Mohr -- Coulomb) material using 8-node rectangular quadrilaterals for displacements coupled to 4-node rectangular quadrilaterals for pressures. Freedoms numbered in the order u -- v -- uw. Viscoplastic strain method -- 9.2. Glossary of Variable Names -- 9.3. Exercises -- References -- 10. Eigenvalue Problems -- 10.1. Introduction -- Program 10.1 Eigenvalue analysis of elastic beams using 2-node beam elements, Lumped mass -- Program 10.2 Eigenvalue analysis of an elastic solid in plane strain using 4- or 8-node rectangular quadrilaterals. Lumped mass. Mesh numbered in y-direction -- Program 10.3 Eigenvalue analysis of an elastic solid in plane strain using 4-node rectangular quadrilaterals. Lanczos method. Consistent mass. Mesh numbered in y-direction -- Program 10.4 Eigenvalue analysis of an elastic solid in plane strain using 4-node rectangular quadrilaterals with ARPACK. Lumped mass. Element-by-element formulation. Mesh numbered in y-direction -- 10.2. Glossary of Variable Names -- 10.3. Exercises -- References -- 11. Forced Vibrations -- 11.1. Introduction -- Program 11.1 Forced vibration analysis of elastic beams using 2-node beam elements. Consistent mass. Newmark time stepping -- Program 11.2 Forced vibration analysis of an elastic solid in plane strain using 4- or 8-node rectangular quadrilaterals. Lumped mass. Mesh numbered in the y-direction. Modal superposition -- Program 11.3 Forced vibration analysis of an elastic solid in plane strain using rectangular 8-node quadrilaterals. Lumped or consistent mass. Mesh numbered in the y-direction. Implicit time integration using the ̀theta' method -- Program 11.4 Forced vibration analysis of an elastic solid in plane strain using rectangular 8-node quadrilaterals. Lumped or consistent mass. Mesh numbered in the y-direction. Implicit time integration using Wilson's method -- Program 11.5 Forced vibration of a rectangular elastic solid in plane strain using 8-node quadrilateral elements numbered in the y-direction. Lumped mass, complex response -- Program 11.6 Forced vibration analysis of an elastic solid in plane strain using uniform size rectangular 4-node quadrilaterals. Mesh numbered in the y-direction. Lumped or consistent mass. Mixed explicit/implicit time integration -- Program 11.7 Forced vibration analysis of an elastic solid in plane strain using rectangular 8-node quadrilaterals. Lumped or consistent mass. Mesh numbered in the y-direction. Implicit time integration using the ̀theta' method. No global matrix assembly. Diagonally preconditioned conjugate gradient solver -- Program 11.8 Forced vibration analysis of an elastic -- plastic (von Mises) solid in plane strain using rectangular 8-node quadrilateral elements. Lumped mass. Mesh numbered in the y-direction. Explicit time integration -- 11.2. Glossary of Variable Names -- 11.3. Exercises -- References -- 12. Parallel Processing of Finite Element Analyses -- 12.1. Introduction -- 12.2. Differences between Parallel and Serial Programs -- 12.2.1. Parallel Libraries -- 12.2.2. Global Variables -- 12.2.3. MPI Library Routines -- 12.2.4. _pp Appendage -- 12.2.5. Simple Test Problems -- 12.2.6. Reading and Writing -- 12.2.7. Rest Instead of nf -- 12.2.8. Gathering and Scattering -- 12.2.9. Reindexing -- 12.2.10. Domain Composition -- 12.2.11. Third-party Mesh-partitioning Tools -- 12.2.12. Load Balancing -- Program 12.1 Three-dimensional analysis of an elastic solid. Compare Program 5.6 -- Program 12.2 Three-dimensional analysis of an elastoplastic (Mohr -- Coulomb) solid. Compare Program 6.13 -- Program 12.3 Three-dimensional Laplacian flow. Compare Program 7.5 -- Program 12.4 Three-dimensional transient heat conduction -- implicit analysis in time. Compare Program 8.5 -- Program 12.5 Three-dimensional transient flow -- explicit analysis in time. Compare Program 8.6 -- Program 12.6 Three-dimensional steady-state Navier -- Stokes analysis. Compare Program 9.2 -- Program 12.7 Three-dimensional analysis of Biot poro elastic solid. Incremental version. Compare Program 9.5 -- Program 12.8 Eigenvalue analysis of three-dimensional elastic solid. Compare Program 103 -- Program 12.9 Forced vibration analysis of a three-dimensional elastic solid. Implicit integration in time. Compare Program 11.7 -- Program 12.10 Forced vibration analysis of three-dimensional elasto plastic solid. Explicit integration in time. Compare Program 11.8 -- 12.3. Graphics Processing Units |
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Note continued: Program 12.11 Three-dimensional strain of an elastic solid using 8-, 14- or 20-node brick hexahedra. No global stiffness matrix assembly. Diagonally preconditioned conjugate gradient solver. GPU version. Compare Program 5.7 -- 12.4. Cloud Computing -- 12.5. Conclusions -- 12.6. Glossary of Variable Names -- References |
| Summary |
"Provides an updated version of Fortran 2003 (all the Fortran programs and subroutines are listed in full in the text but will also be made available online)"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record and CIP data provided by publisher |
| Subject |
Finite element method -- Data processing.
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Engineering -- Data processing.
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FORTRAN 2003 (Computer program language)
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TECHNOLOGY & ENGINEERING -- Drafting & Mechanical Drawing.
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Engineering -- Data processing
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Finite element method -- Data processing
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FORTRAN 2003 (Computer program language)
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| Form |
Electronic book
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| Author |
Griffiths, D. V., author.
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Margetts, Lee, author
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| LC no. |
2013028597 |
| ISBN |
9781119189237 |
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1119189233 |
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9781118535929 |
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1118535928 |
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9781118535936 |
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1118535936 |
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9781118535943 |
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1118535944 |
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1119973341 |
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9781119973348 |
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9781299831209 |
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1299831206 |
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