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Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight
| Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight |
| Autore | Munjiza Antonio A. |
| Pubbl/distr/stampa | Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 |
| Descrizione fisica | 1 online resource (488 p.) |
| Disciplina | 620.1/1230151825 |
| Soggetto topico |
Finite element method
Stress-strain curves Deformations (Mechanics) - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-53580-4
1-118-53570-7 1-118-53579-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Large Strain Finite Element Method: A Practical Course; Copyright; Contents; Preface; Acknowledgements; Part One Fundamentals; Chapter 1 Introduction; 1.1 Assumption of Small Displacements; 1.2 Assumption of Small Strains; 1.3 Geometric Nonlinearity; 1.4 Stretches; 1.5 Some Examples of Large Displacement Large Strain Finite Element Formulation; 1.6 The Scope and Layout of the Book; 1.7 Summary; Further Reading; Chapter 2 Matrices; 2.1 Matrices in General; 2.2 Matrix Algebra; 2.3 Special Types of Matrices; 2.4 Determinant of a Square Matrix; 2.5 Quadratic Form; 2.6 Eigenvalues and Eigenvectors
2.7 Positive Definite Matrix2.8 Gaussian Elimination; 2.9 Inverse of a Square Matrix; 2.10 Column Matrices; 2.11 Summary; Further Reading; Chapter 3 Some Explicit and Iterative Solvers; 3.1 The Central Difference Solver; 3.2 Generalized Direction Methods; 3.3 The Method of Conjugate DirectionsConjugate Directions; 3.4 Summary; Further Reading; Chapter 4 Numerical Integration; 4.1 Newton-Cotes Numerical Integration; 4.2 Gaussian Numerical Integration; 4.3 Gaussian Integration in 2D; 4.4 Gaussian Integration in 3DGaussian Integration in 3D; 4.5 Summary; Further Reading Chapter 5 Work of Internal Forces on Virtual Displacements5.1 The Principle of Virtual Work; 5.2 Summary; Further Reading; Part Two Physical Quantities; Chapter 6 Scalars; 6.1 Scalars in General; 6.2 Scalar FunctionsScalar Functions; 6.3 Scalar GraphsScalar Graphs; 6.4 Empirical Formulas; 6.5 Fonts; 6.6 Units; 6.7 Base and Derived Scalar Variables; 6.8 Summary; Further Reading; Chapter 7 Vectors in 2D; 7.1 Vectors in General; 7.2 Vector Notation; 7.3 Matrix Representation of Vectors; 7.4 Scalar Product; 7.5 General Vector Base in 2D; 7.6 Dual Base; 7.7 Changing Vector Base 7.8 Self-duality of the Orthonormal Base7.9 Combining Bases; 7.10 Examples; 7.11 Summary; Further Reading; Chapter 8 Vectors in 3D; 8.1 Vectors in 3D; 8.2 Vector Bases; 8.3 Summary; Further Reading; Chapter 9 Vectors in n-Dimensional Space; 9.1 Extension from 3D to 4-Dimensional Space; 9.2 The Dual Base in 4D; 9.3 Changing the Base in 4D; 9.4 Generalization to n-Dimensional Space; 9.5 Changing the Base in n-Dimensional Space; 9.6 Summary; Further Reading; Chapter 10 First Order Tensors; 10.1 The Slope TensorSlope Tensor; 10.2 First Order Tensors in 2D; 10.3 Using First Order Tensors 10.4 Using Different Vector Bases in 2D10.5 Differential of a 2D Scalar Field as the First Order Tensor; 10.6 First Order Tensors in 3D; 10.7 Changing the Vector Base in 3D; 10.8 First Order Tensor in 4D; 10.9 First Order Tensor in n-Dimensions; 10.10 Differential of a 3D Scalar Field as the First Order Tensor; 10.11 Scalar Field in n-Dimensional Space; 10.12 Summary; Further Reading; Chapter 11 Second Order Tensors in 2D; 11.1 Stress Tensor in 2D; 11.2 Second Order Tensor in 2D; 11.3 Physical Meaning of Tensor Matrix in 2D; 11.4 Changing the Base; 11.5 Using Two Different Bases in 2D 11.6 Some Special Cases of Stress Tensor Matrices in 2D |
| Record Nr. | UNINA-9910459829403321 |
Munjiza Antonio A.
|
||
| Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight
| Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight |
| Autore | Munjiza Antonio A. |
| Pubbl/distr/stampa | Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 |
| Descrizione fisica | 1 online resource (488 pages) : illustrations (some color) |
| Disciplina | 620.1/1230151825 |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Finite element method Stress-strain curves |
| ISBN |
1-118-53580-4
1-118-53570-7 1-118-53579-0 |
| Classificazione |
501.341
620.1/1230151825 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910796071703321 |
|
Munjiza Antonio A.
|
||
| Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight
| Large strain finite element method : a practical course / / Antonio Munjiza, Esteban Rougier, Earl E. Knight |
| Autore | Munjiza Antonio A. |
| Pubbl/distr/stampa | Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 |
| Descrizione fisica | 1 online resource (488 pages) : illustrations (some color) |
| Disciplina | 620.1/1230151825 |
| Soggetto topico |
Deformations (Mechanics) - Mathematical models
Finite element method Stress-strain curves |
| ISBN |
1-118-53580-4
1-118-53570-7 1-118-53579-0 |
| Classificazione |
501.341
620.1/1230151825 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910820177803321 |
|
Munjiza Antonio A.
|
||
| Chichester, West Sussex : , : John Wiley & Sons, Inc., , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||