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A Beginner’s Primer: Basic Concepts in Mechanics / / by Tarek I. Zohdi
| A Beginner’s Primer: Basic Concepts in Mechanics / / by Tarek I. Zohdi |
| Autore | Zohdi Tarek I |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (195 pages) |
| Disciplina | 620.105 |
| Soggetto topico |
Mechanics, Applied
Solids Mathematical physics Dynamics Nonlinear theories Fluid mechanics Mathematics - Data processing Solid Mechanics Theoretical, Mathematical and Computational Physics Applied Dynamical Systems Engineering Fluid Dynamics Computational Science and Engineering |
| ISBN | 3-031-82904-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The concept of stress -- Stress strain relationship -- Failure theory -- Axial loading of a rod -- Transverse bending loading of a beam -- Industrial application modeling of 3D printing -- Transverse shear stresses in beams -- Torsional loading of a rod -- Pressure vessels -- Buckling of columns -- The basics of Finite Element Methods -- A unifying concept continuum mechanics. |
| Record Nr. | UNINA-9911007464903321 |
Zohdi Tarek I
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Finite Element Primer for Beginners : The Basics / / by Tarek I. Zohdi
| A Finite Element Primer for Beginners : The Basics / / by Tarek I. Zohdi |
| Autore | Zohdi Tarek I |
| Edizione | [2nd ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XIII, 135 p. 41 illus.) |
| Disciplina | 620.00151535 |
| Soggetto topico |
Mechanics
Mechanics, Applied Computer science - Mathematics Computational complexity Physics Fluid mechanics Mathematical models Solid Mechanics Computational Science and Engineering Complexity Numerical and Computational Physics, Simulation Engineering Fluid Dynamics Mathematical Modeling and Industrial Mathematics |
| ISBN | 3-319-70428-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Figures -- 1 Weighted Residuals and Galerkin's Method for a Generic 1D Problem -- 1.1 Introduction: Weighted Residual Methods -- 1.2 Galerkin's Method -- 1.3 An Overall Framework -- 2 A Model Problem: 1D Elastostatics -- 2.1 Introduction: A Model Problem -- 2.2 Weak Formulations in One Dimension -- 2.3 An Example -- 2.4 Some Restrictions -- 2.5 Remarks on Nonlinear Problems -- 3 A Finite Element Implementation in One Dimension -- 3.1 Introduction -- 3.2 Weak Formulation -- 3.3 FEM Approximation -- 3.4 Construction of FEM Basis Functions -- 3.5 Integration and Gaussian Quadrature -- 3.5.1 An Example -- 3.6 Global/Local Transformations -- 3.7 Differential Properties of Shape Functions -- 3.8 Post-Processing -- 3.9 A Detailed Example -- 3.9.1 Weak Form -- 3.9.2 Formation of the Discrete System -- 3.9.3 Applying Boundary Conditions -- 3.9.4 Massive Data Storage Reduction -- 3.10 Quadratic Elements -- 4 Accuracy of the Finite Element Method in One Dimension -- 4.1 Introduction -- 4.2 The ``Best Approximation'' Theorem -- 4.3 The Principle of Minimum Potential Energy -- 4.4 Simple Estimates for Adequate FEM Meshes -- 4.5 Local Mesh Refinement -- 5 Iterative Solutions Schemes -- 5.1 Introduction: Minimum Principles and Krylov Methods -- 5.1.1 Numerical Linear Algebra -- 5.1.2 Krylov Searches and Minimum Principles -- 6 Weak Formulations in Three Dimensions -- 6.1 Introduction -- 6.2 Hilbertian Sobolev Spaces -- 6.3 The Principle of Minimum Potential Energy -- 6.4 Complementary Principles -- 7 A Finite Element Implementation in Three Dimensions -- 7.1 Introduction -- 7.2 FEM Approximation -- 7.3 Global/Local Transformations -- 7.4 Mesh Generation and Connectivity Functions -- 7.5 Warning: Restrictions on Elements -- 7.5.1 Good and Bad Elements: Examples -- 7.6 Three-Dimensional Shape Functions.
7.7 Differential Properties of Shape Functions -- 7.8 Differentiation in the Referential Coordinates -- 7.8.1 Implementation Issues -- 7.8.2 An Example of the Storage Scaling -- 7.9 Surface Jacobians and Nanson's Formula -- 7.10 Post-Processing -- 8 Accuracy of the Finite Element Method in Three Dimensions -- 8.1 Introduction -- 8.2 The ``Best Approximation'' Theorem -- 8.3 Simple Estimates for Adequate FEM Meshes Revisited for Three Dimensions -- 8.4 Local Error Estimation and Adaptive Mesh Refinement -- 8.4.1 A Posteriori Recovery Methods -- 8.4.2 A Posteriori Residual Methods -- 9 Time-Dependent Problems -- 9.1 Introduction -- 9.2 Generic Time Stepping -- 9.3 Application to the Continuum Formulation -- 10 Summary and Advanced Topics -- Appendix A Elementary Mathematical Concepts -- A.1 Vector Products -- A.2 Vector Calculus -- A.3 Interpretation of the Gradient of Functionals -- A.4 Matrix Manipulations -- A.4.1 Determinant -- A.4.2 Eigenvalues -- A.4.3 Coordinate Transformations -- Appendix B Basic Continuum Mechanics -- B.1 Deformations -- B.2 Equilibrium/Kinetics of Solid Continua -- B.2.1 Postulates on Volume and Surface Quantities -- B.2.2 Balance Law Formulations -- B.3 Referential Descriptions of Balance Laws and Nanson's Formula -- B.4 The First Law of Thermodynamics/An Energy Balance -- B.5 Linearly Elastic Constitutive Equations -- B.5.1 The Infinitesimal Strain Case -- B.5.2 Linear Elastic Constitutive Laws -- B.5.3 Material Component Interpretation -- B.6 Related Physical Concepts -- B.6.1 Heat Conduction -- B.6.2 Solid-State Diffusion-Reaction -- B.6.3 Conservation Law Families -- Appendix C Convergence of Recursive Iterative Schemes -- Appendix D Selected in-Class Exam Problems -- D.1 Sample Problem 1 -- D.2 Sample Problem 2 -- D.3 Sample Problem 3 -- D.4 Sample Problem 4 -- D.5 Sample Problem 5 -- D.6 Sample Problem 6. D.7 Sample Problem 7 -- D.8 Sample Problem 8 -- D.9 Sample Problem 9 -- D.10 Sample Problem 10 -- D.11 Sample Problem 11 -- D.12 Sample Problem 12 -- D.13 Sample Problem 13 -- D.14 Sample Problem 14 -- D.15 Sample Problem 15 -- D.16 Sample Problem 16 -- D.17 Sample Problem 17 -- Appendix E Selected Computer Projects -- E.1 Assignment Format -- E.2 Sample Project 1: The Basics of FEM -- E.3 Sample Project 2: Higher-Order Elements -- E.4 Sample Project 3: Potential and Efficient Solution Techniques -- E.5 Sample Project 4: Error Estimation and Adaptive Meshing Using the Exact Solution as a Test -- E.6 Sample Project 5: 3D Formulations for Elasticity -- E.7 Sample Project 6: Implementation of the Finite Element Method in 2D -- E.8 Sample Project 7: Time-Dependent Problems. |
| Record Nr. | UNINA-9910299585903321 |
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Zohdi Tarek I
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Finite Element Primer for Beginners : The Basics / / by Tarek I. Zohdi
| A Finite Element Primer for Beginners : The Basics / / by Tarek I. Zohdi |
| Autore | Zohdi Tarek I |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 620.00151535 |
| Collana | SpringerBriefs in Applied Sciences and Technology |
| Soggetto topico |
Mechanics
Mechanics, Applied Fluid mechanics Computational complexity Computer science - Mathematics Mathematical models Physics Solid Mechanics Engineering Fluid Dynamics Complexity Computational Science and Engineering Mathematical Modeling and Industrial Mathematics Numerical and Computational Physics, Simulation |
| ISBN | 3-319-09036-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Weighted residuals and Galerkin’s method for a generic 1-D problem -- A model problem: 1-D elastostatics -- A finite element implementation in one dimension -- Accuracy of the finite element method -- Element by element iterative solutions schemes -- Weak formulations in three dimensions -- A finite element implementation in three dimensions -- Accuracy of the finite element method -- Time-dependent problems -- Summary and advanced topics. |
| Record Nr. | UNINA-9910299858203321 |
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Zohdi Tarek I
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to modeling and simulation of particulate flows / / T.I. Zohdi
| An introduction to modeling and simulation of particulate flows / / T.I. Zohdi |
| Autore | Zohdi Tarek I |
| Pubbl/distr/stampa | Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007 |
| Descrizione fisica | 1 electronic text (xvii, 176 p. : ill. (some col.)) : digital file |
| Disciplina | 620/.43 |
| Collana | Computational science & engineering |
| Soggetto topico | Granular materials - Fluid dynamics - Mathematical models |
| ISBN | 0-89871-892-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fundamentals -- Modeling of particulate flows -- Iterative solution schemes -- Representative numerical simulations -- Inverse problems/parameter identification -- Extensions to "swarm-like" systems -- Advanced particulate flow models -- Coupled particle/fluid interaction -- Simple optical scattering methods for particulate media -- Closing remarks -- Basic (continuum) fluid mechanics -- Scattering. |
| Record Nr. | UNINA-9911006504203321 |
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Zohdi Tarek I
|
||
| Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modeling and Simulation of Functionalized Materials for Additive Manufacturing and 3D Printing: Continuous and Discrete Media : Continuum and Discrete Element Methods / / by Tarek I. Zohdi
| Modeling and Simulation of Functionalized Materials for Additive Manufacturing and 3D Printing: Continuous and Discrete Media : Continuum and Discrete Element Methods / / by Tarek I. Zohdi |
| Autore | Zohdi Tarek I |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XIX, 298 p. 83 illus., 34 illus. in color.) |
| Disciplina | 670.113 |
| Collana | Lecture Notes in Applied and Computational Mechanics |
| Soggetto topico |
Manufactures
Manufacturing, Machines, Tools, Processes |
| ISBN | 3-319-70079-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | From the Content: Introduction: Additive/3D Printing Materials-filaments, Functionalized-inks and Powders.- PART I-Continuum Methods (CM) : Basic Continuum Mechanics -- CM Approaches: Characterization of Particle-functionalized Materials -- CM Approaches: Estimation and Optimization of the Effective Properties of Mixtures.- CM Approaches: Numerical thermo-mechanical Formulations. |
| Record Nr. | UNINA-9910299892203321 |
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Zohdi Tarek I
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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