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The combined finite-discrete element method [[electronic resource] /] / Ante Munjiza
| The combined finite-discrete element method [[electronic resource] /] / Ante Munjiza |
| Autore | Munjiza Ante |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2004 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina |
620.00151535
620.1/123/015118 620.1123015118 |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-27485-9
9780470020172 9786610274857 0-470-02017-2 0-470-02018-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Combined Finite-Discrete Element Method; Contents; Preface; Acknowledgements; 1 Introduction; 1.1 General Formulation of Continuum Problems; 1.2 General Formulation of Discontinuum Problems; 1.3 A Typical Problem of Computational Mechanics of Discontinua; 1.4 Combined Continua-Discontinua Problems; 1.5 Transition from Continua to Discontinua; 1.6 The Combined Finite-Discrete Element Method; 1.7 Algorithmic and Computational Challenge of the Combined Finite-Discrete Element Method; 2 Processing of Contact Interaction in the Combined Finite Discrete Element Method; 2.1 Introduction
2.2 The Penalty Function Method2.3 Potential Contact Force in 2D; 2.4 Discretisation of Contact Force in 2D; 2.5 Implementation Details for Discretised Contact Force in 2D; 2.6 Potential Contact Force in 3D; 2.6.1 Evaluation of contact force; 2.6.2 Computational aspects; 2.6.3 Physical interpretation of the penalty parameter; 2.6.4 Contact damping; 2.7 Alternative Implementation of the Potential Contact Force; 3 Contact Detection; 3.1 Introduction; 3.2 Direct Checking Contact Detection Algorithm; 3.2.1 Circular bounding box; 3.2.2 Square bounding object; 3.2.3 Complex bounding box 3.3 Formulation of Contact Detection Problem for Bodies of Similar Size in 2D3.4 Binary Tree Based Contact Detection Algorithm for Discrete Elements of Similar Size; 3.5 Direct Mapping Algorithm for Discrete Elements of Similar Size; 3.6 Screening Contact Detection Algorithm for Discrete Elements of Similar Size; 3.7 Sorting Contact Detection Algorithm for Discrete Elements of a Similar Size; 3.8 Munjiza-NBS Contact Detection Algorithm in 2D; 3.8.1 Space decomposition; 3.8.2 Mapping of discrete elements onto cells; 3.8.3 Mapping of discrete elements onto rows and columns of cells 3.8.4 Representation of mapping3.9 Selection of Contact Detection Algorithm; 3.10 Generalisation of Contact Detection Algorithms to 3D Space; 3.10.1 Direct checking contact detection algorithm; 3.10.2 Binary tree search; 3.10.3 Screening contact detection algorithm; 3.10.4 Direct mapping contact detection algorithm; 3.11 Generalisation of Munjiza-NBS Contact Detection Algorithm to Multidimensional Space; 3.12 Shape and Size Generalisation-Williams C-GRID Algorithm; 4 Deformability of Discrete Elements; 4.1 Deformation; 4.2 Deformation Gradient; 4.2.1 Frames of reference 4.2.2 Transformation matrices4.3 Homogeneous Deformation; 4.4 Strain; 4.5 Stress; 4.5.1 Cauchy stress tensor; 4.5.2 First Piola-Kirchhoff stress tensor; 4.5.3 Second Piola-Kirchhoff stress tensor; 4.6 Constitutive Law; 4.7 Constant Strain Triangle Finite Element; 4.8 Constant Strain Tetrahedron Finite Element; 4.9 Numerical Demonstration of Finite Rotation Elasticity in the Combined Finite-Discrete Element Method; 5 Temporal Discretisation; 5.1 The Central Difference Time Integration Scheme; 5.1.1 Stability of the central difference time integration scheme 5.2 Dynamics of Irregular Discrete Elements Subject to Finite Rotations in 3D |
| Record Nr. | UNINA-9910143485103321 |
Munjiza Ante
|
||
| Hoboken, NJ, : Wiley, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The combined finite-discrete element method [[electronic resource] /] / Ante Munjiza
| The combined finite-discrete element method [[electronic resource] /] / Ante Munjiza |
| Autore | Munjiza Ante |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2004 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina |
620.00151535
620.1/123/015118 620.1123015118 |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Finite element method |
| ISBN |
1-280-27485-9
9780470020172 9786610274857 0-470-02017-2 0-470-02018-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Combined Finite-Discrete Element Method; Contents; Preface; Acknowledgements; 1 Introduction; 1.1 General Formulation of Continuum Problems; 1.2 General Formulation of Discontinuum Problems; 1.3 A Typical Problem of Computational Mechanics of Discontinua; 1.4 Combined Continua-Discontinua Problems; 1.5 Transition from Continua to Discontinua; 1.6 The Combined Finite-Discrete Element Method; 1.7 Algorithmic and Computational Challenge of the Combined Finite-Discrete Element Method; 2 Processing of Contact Interaction in the Combined Finite Discrete Element Method; 2.1 Introduction
2.2 The Penalty Function Method2.3 Potential Contact Force in 2D; 2.4 Discretisation of Contact Force in 2D; 2.5 Implementation Details for Discretised Contact Force in 2D; 2.6 Potential Contact Force in 3D; 2.6.1 Evaluation of contact force; 2.6.2 Computational aspects; 2.6.3 Physical interpretation of the penalty parameter; 2.6.4 Contact damping; 2.7 Alternative Implementation of the Potential Contact Force; 3 Contact Detection; 3.1 Introduction; 3.2 Direct Checking Contact Detection Algorithm; 3.2.1 Circular bounding box; 3.2.2 Square bounding object; 3.2.3 Complex bounding box 3.3 Formulation of Contact Detection Problem for Bodies of Similar Size in 2D3.4 Binary Tree Based Contact Detection Algorithm for Discrete Elements of Similar Size; 3.5 Direct Mapping Algorithm for Discrete Elements of Similar Size; 3.6 Screening Contact Detection Algorithm for Discrete Elements of Similar Size; 3.7 Sorting Contact Detection Algorithm for Discrete Elements of a Similar Size; 3.8 Munjiza-NBS Contact Detection Algorithm in 2D; 3.8.1 Space decomposition; 3.8.2 Mapping of discrete elements onto cells; 3.8.3 Mapping of discrete elements onto rows and columns of cells 3.8.4 Representation of mapping3.9 Selection of Contact Detection Algorithm; 3.10 Generalisation of Contact Detection Algorithms to 3D Space; 3.10.1 Direct checking contact detection algorithm; 3.10.2 Binary tree search; 3.10.3 Screening contact detection algorithm; 3.10.4 Direct mapping contact detection algorithm; 3.11 Generalisation of Munjiza-NBS Contact Detection Algorithm to Multidimensional Space; 3.12 Shape and Size Generalisation-Williams C-GRID Algorithm; 4 Deformability of Discrete Elements; 4.1 Deformation; 4.2 Deformation Gradient; 4.2.1 Frames of reference 4.2.2 Transformation matrices4.3 Homogeneous Deformation; 4.4 Strain; 4.5 Stress; 4.5.1 Cauchy stress tensor; 4.5.2 First Piola-Kirchhoff stress tensor; 4.5.3 Second Piola-Kirchhoff stress tensor; 4.6 Constitutive Law; 4.7 Constant Strain Triangle Finite Element; 4.8 Constant Strain Tetrahedron Finite Element; 4.9 Numerical Demonstration of Finite Rotation Elasticity in the Combined Finite-Discrete Element Method; 5 Temporal Discretisation; 5.1 The Central Difference Time Integration Scheme; 5.1.1 Stability of the central difference time integration scheme 5.2 Dynamics of Irregular Discrete Elements Subject to Finite Rotations in 3D |
| Record Nr. | UNINA-9910831049103321 |
|
Munjiza Ante
|
||
| Hoboken, NJ, : Wiley, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The combined finite-discrete element method / / Ante Munjiza
| The combined finite-discrete element method / / Ante Munjiza |
| Autore | Munjiza Ante |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2004 |
| Descrizione fisica | 1 online resource (x, 333 pages) |
| Disciplina | 620.1/123/015118 |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Finite element method |
| ISBN |
9786610274857
9781280274855 1280274859 9780470020173 0470020172 9780470020180 0470020180 9780470020172 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Processing of contact interaction in the combined finite discrete element method -- Contact detection -- Deformability of discrete elements -- Temporal discretisation -- Sensitivity to initial conditions in combined finite-discrete element simulations -- Transition from continua to discontinua -- Fluid coupling in the combined finite-discrete element method -- Computational aspects of combined finite-discrete element simulations -- Implementation of some of the core combined finite-discrete element algorithms. |
| Record Nr. | UNINA-9911020226803321 |
|
Munjiza Ante
|
||
| Hoboken, NJ, : Wiley, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||