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Computational reality : solving nonlinear and coupled problems in continuum mechanics / / by Bilen Emek Abali
| Computational reality : solving nonlinear and coupled problems in continuum mechanics / / by Bilen Emek Abali |
| Autore | Abali Bilen Emek |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XVII, 308 p. 48 illus. in color.) |
| Disciplina | 531.015118 |
| Collana | Advanced Structured Materials |
| Soggetto topico |
Mechanics
Mechanics, Applied Computer science - Mathematics Numerical analysis Materials science Solid Mechanics Computational Science and Engineering Numeric Computing Characterization and Evaluation of Materials |
| ISBN | 9789811024443 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Mechanics -- Thermodynamics -- Electromagnetic interaction -- Appendix. |
| Record Nr. | UNINA-9910135971603321 |
Abali Bilen Emek
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Multiscale modeling in solid mechanics [[electronic resource] ] : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi
| Multiscale modeling in solid mechanics [[electronic resource] ] : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi |
| Pubbl/distr/stampa | London, : Imperial College |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 531.015118 |
| Altri autori (Persone) |
GalvanettoUgo
AliabadiM. H |
| Collana | Computational and experimental methods in structures |
| Soggetto topico |
Solids - Mathematical models
Solid state physics Mechanics Multiscale modeling |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-75981-7
9786612759819 1-84816-308-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Contributors; Computational Homogenisation for Non-Linear Heterogeneous Solids V. G. Kouznetsova, M. G. D. Geers and W. A. M. Brekelmans; 1. Introduction; 2. Basic Hypotheses; 3. Definition of the Problem on the Microlevel; 4. Coupling of the Macroscopic and Microscopic Levels; 4.1. Deformation; 4.2. Stress; 4.3. Internal work; 5. FE Implementation; 5.1. RVE boundary value problem; 5.1.1. Fully prescribed boundary displacements; 5.1.2. Periodic boundary conditions; 5.2. Calculation of the macroscopic stress; 5.2.1. Fully prescribed boundary displacements
5.2.2. Periodic boundary conditions5.3. Macroscopic tangent stiffness; 5.3.1. Condensation of the microscopic stiffness: Fully prescribed boundary displacements; 5.3.2. Condensation of the microscopic stiffness: Periodic boundary conditions; 5.3.3. Macroscopic tangent; 6. Nested Solution Scheme; 7. Computational Example; 8. Concept of an RVE within Computational Homogenisation; 9. Extensions of the Classical Computational Homogenisation Scheme; 9.1. Homogenisation towards second gradient continuum; 9.2. Computational homogenisation for beams and shells 9.3. Computational homogenisation for heat conduction problemsAcknowledgements; References; Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials Qi-Zhi Xiao and Bhushan Lal Karihaloo; 1. Introduction; 2. Mathematical Formulation of First- and Higher-Order Two-Scale Asymptotic Homogenisation; 2.1. Two-scale expansion; 2.2. O(ε.2) equilibrium: Solution structure of ui(0); 2.3. O(ε.1) equilibrium: First-order homogenisation and solution structure of u(1)m; 2.4. O(ε0) equilibrium: Second-order homogenisation; 2.4.1. Solution structure of u(2) 2.4.2. Solution of u(0) m2.4.3. Solution of ψmno k (y); 2.4.4. Constraints from higher-order solutions; 2.5. O(ε1) equilibrium: Third-order homogenisation; 2.5.1. Solution of u(3) k; 2.5.2. Constraints from higher-order terms; 3. Variational Formulation of Problem (29); 4. Finite Element Methods; 4.1. Displacement compatible elements from the potential principle; 4.2. Element-free Galerkin method from the potential principle; 4.2.1. MLS interpolant; 4.2.2. Imposition of the essential boundary conditions; 4.2.3. Discontinuity in the displacement field 4.2.4. Interfaces with discontinuous first-order derivatives4.3. Displacement incompatible element from the potential principle; 4.3.1. 2D 4-node incompatible element; 4.3.2. 3D 8-node incompatible element; 4.4. Hybrid stress elements from the Hellinger-Reissner principle; 4.4.1. Plane 4-node Pian and Sumihara (PS) 5β element; 4.4.2. 3D 8-node 18β hybrid stress element; 4.5. Enhanced-strain element based on the Hu-Washizu principle; 4.5.1. Plane 4-node enhanced-strain element; 4.5.2. 3D 8-node enhanced-strain element; 4.6. Comments on the various methods 5. Enforcing the Periodicity Boundary Condition and Constraints from Higher-Order Equilibrium in the Analysis of the RUC |
| Record Nr. | UNINA-9910455577203321 |
| London, : Imperial College | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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