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Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.]
| Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.] |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Chichester, West Sussex, : Wiley, 2012 |
| Descrizione fisica | 1 online resource (542 p.) |
| Disciplina |
620.1
624.171 |
| Altri autori (Persone) | BorstRené de |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Finite element method - Data processing
Structural analysis (Engineering) - Data processing |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato | ingeniørmatematikk - finite - element - elementmetoden - strukturell analyse - databehandling |
| ISBN |
1-283-64510-6
1-118-37599-8 1-118-37600-5 1-118-37601-3 1-118-37593-9 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Non-linear Finite Element Analysis of Solids and Structures; Contents; Preface; Series Preface; Notation; About the Code; PART I: BASIC CONCEPTS AND SOLUTION TECHNIQUES; 1 Preliminaries; 1.1 A Simple Example of Non-linear Behaviour; 1.2 A Review of Concepts from Linear Algebra; 1.3 Vectors and Tensors; 1.4 Stress and Strain Tensors; 1.5 Elasticity; 1.6 The PyFEM Finite Element Library; References; 2 Non-linear Finite Element Analysis; 2.1 Equilibrium and Virtual Work; 2.2 Spatial Discretisation by Finite Elements; 2.3 PyFEM: Shape Function Utilities; 2.4 Incremental-iterative Analysis
2.5 Load versus Displacement Control2.6 PyFEM: A Linear Finite Element Code with Displacement Control; References; 3 Geometrically Non-linear Analysis; 3.1 Truss Elements; 3.1.1 Total Lagrange Formulation; 3.1.2 Updated Lagrange Formulation; 3.1.3 Corotational Formulation; 3.2 PyFEM: The Shallow Truss Problem; 3.3 Stress and Deformation Measures in Continua; 3.4 Geometrically Non-linear Formulation of Continuum Elements; 3.4.1 Total and Updated Lagrange Formulations; 3.4.2 Corotational Formulation; 3.5 Linear Buckling Analysis; 3.6 PyFEM: A Geometrically Non-linear Continuum Element References4 Solution Techniques in Quasi-static Analysis; 4.1 Line Searches; 4.2 Path-following or Arc-length Methods; 4.3 PyFEM: Implementation of Riks' Arc-length Solver; 4.4 Stability and Uniqueness in Discretised Systems; 4.4.1 Stability of a Discrete System; 4.4.2 Uniqueness and Bifurcation in a Discrete System; 4.4.3 Branch Switching; 4.5 Load Stepping and Convergence Criteria; 4.6 Quasi-Newton Methods; References; 5 Solution Techniques for Non-linear Dynamics; 5.1 The Semi-discrete Equations; 5.2 Explicit Time Integration; 5.3 PyFEM: Implementation of an Explicit Solver 5.4 Implicit Time Integration5.4.1 The Newmark Family; 5.4.2 The HHT α-method; 5.4.3 Alternative Implicit Methods for Time Integration; 5.5 Stability and Accuracy in the Presence of Non-linearities; 5.6 Energy-conserving Algorithms; 5.7 Time Step Size Control and Element Technology; References; PART II: MATERIAL NON-LINEARITIES; 6 Damage Mechanics; 6.1 The Concept of Damage; 6.2 Isotropic Elasticity-based Damage; 6.3 PyFEM: A Plane-strain Damage Model; 6.4 Stability, Ellipticity and Mesh Sensitivity; 6.4.1 Stability and Ellipticity; 6.4.2 Mesh Sensitivity; 6.5 Cohesive-zone Models 6.6 Element Technology: Embedded Discontinuities6.7 Complex Damage Models; 6.7.1 Anisotropic Damage Models; 6.7.2 Microplane Models; 6.8 Crack Models for Concrete and Other Quasi-brittle Materials; 6.8.1 Elasticity-based Smeared Crack Models; 6.8.2 Reinforcement and Tension Stiffening; 6.9 Regularised Damage Models; 6.9.1 Non-local Damage Models; 6.9.2 Gradient Damage Models; References; 7 Plasticity; 7.1 A Simple Slip Model; 7.2 Flow Theory of Plasticity; 7.2.1 Yield Function; 7.2.2 Flow Rule; 7.2.3 Hardening Behaviour; 7.3 Integration of the Stress-strain Relation 7.4 Tangent Stiffness Operators |
| Record Nr. | UNINA-9910130738403321 |
| Chichester, West Sussex, : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.]
| Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.] |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Chichester, West Sussex, : Wiley, 2012 |
| Descrizione fisica | 1 online resource (542 p.) |
| Disciplina |
620.1
624.171 |
| Altri autori (Persone) | BorstRené de |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Finite element method - Data processing
Structural analysis (Engineering) - Data processing |
| Soggetto non controllato | ingeniørmatematikk - finite - element - elementmetoden - strukturell analyse - databehandling |
| ISBN |
1-283-64510-6
1-118-37599-8 1-118-37600-5 1-118-37601-3 1-118-37593-9 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Non-linear Finite Element Analysis of Solids and Structures; Contents; Preface; Series Preface; Notation; About the Code; PART I: BASIC CONCEPTS AND SOLUTION TECHNIQUES; 1 Preliminaries; 1.1 A Simple Example of Non-linear Behaviour; 1.2 A Review of Concepts from Linear Algebra; 1.3 Vectors and Tensors; 1.4 Stress and Strain Tensors; 1.5 Elasticity; 1.6 The PyFEM Finite Element Library; References; 2 Non-linear Finite Element Analysis; 2.1 Equilibrium and Virtual Work; 2.2 Spatial Discretisation by Finite Elements; 2.3 PyFEM: Shape Function Utilities; 2.4 Incremental-iterative Analysis
2.5 Load versus Displacement Control2.6 PyFEM: A Linear Finite Element Code with Displacement Control; References; 3 Geometrically Non-linear Analysis; 3.1 Truss Elements; 3.1.1 Total Lagrange Formulation; 3.1.2 Updated Lagrange Formulation; 3.1.3 Corotational Formulation; 3.2 PyFEM: The Shallow Truss Problem; 3.3 Stress and Deformation Measures in Continua; 3.4 Geometrically Non-linear Formulation of Continuum Elements; 3.4.1 Total and Updated Lagrange Formulations; 3.4.2 Corotational Formulation; 3.5 Linear Buckling Analysis; 3.6 PyFEM: A Geometrically Non-linear Continuum Element References4 Solution Techniques in Quasi-static Analysis; 4.1 Line Searches; 4.2 Path-following or Arc-length Methods; 4.3 PyFEM: Implementation of Riks' Arc-length Solver; 4.4 Stability and Uniqueness in Discretised Systems; 4.4.1 Stability of a Discrete System; 4.4.2 Uniqueness and Bifurcation in a Discrete System; 4.4.3 Branch Switching; 4.5 Load Stepping and Convergence Criteria; 4.6 Quasi-Newton Methods; References; 5 Solution Techniques for Non-linear Dynamics; 5.1 The Semi-discrete Equations; 5.2 Explicit Time Integration; 5.3 PyFEM: Implementation of an Explicit Solver 5.4 Implicit Time Integration5.4.1 The Newmark Family; 5.4.2 The HHT α-method; 5.4.3 Alternative Implicit Methods for Time Integration; 5.5 Stability and Accuracy in the Presence of Non-linearities; 5.6 Energy-conserving Algorithms; 5.7 Time Step Size Control and Element Technology; References; PART II: MATERIAL NON-LINEARITIES; 6 Damage Mechanics; 6.1 The Concept of Damage; 6.2 Isotropic Elasticity-based Damage; 6.3 PyFEM: A Plane-strain Damage Model; 6.4 Stability, Ellipticity and Mesh Sensitivity; 6.4.1 Stability and Ellipticity; 6.4.2 Mesh Sensitivity; 6.5 Cohesive-zone Models 6.6 Element Technology: Embedded Discontinuities6.7 Complex Damage Models; 6.7.1 Anisotropic Damage Models; 6.7.2 Microplane Models; 6.8 Crack Models for Concrete and Other Quasi-brittle Materials; 6.8.1 Elasticity-based Smeared Crack Models; 6.8.2 Reinforcement and Tension Stiffening; 6.9 Regularised Damage Models; 6.9.1 Non-local Damage Models; 6.9.2 Gradient Damage Models; References; 7 Plasticity; 7.1 A Simple Slip Model; 7.2 Flow Theory of Plasticity; 7.2.1 Yield Function; 7.2.2 Flow Rule; 7.2.3 Hardening Behaviour; 7.3 Integration of the Stress-strain Relation 7.4 Tangent Stiffness Operators |
| Record Nr. | UNINA-9910830598503321 |
| Chichester, West Sussex, : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.]
| Non-linear finite element analysis of solids and structures [[electronic resource] /] / René. de Borst ... [et al.] |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Chichester, West Sussex, : Wiley, 2012 |
| Descrizione fisica | 1 online resource (542 p.) |
| Disciplina |
620.1
624.171 |
| Altri autori (Persone) | BorstRené de |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Finite element method - Data processing
Structural analysis (Engineering) - Data processing |
| Soggetto non controllato | ingeniørmatematikk - finite - element - elementmetoden - strukturell analyse - databehandling |
| ISBN |
1-283-64510-6
1-118-37599-8 1-118-37600-5 1-118-37601-3 1-118-37593-9 |
| Classificazione | TEC006000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Non-linear Finite Element Analysis of Solids and Structures; Contents; Preface; Series Preface; Notation; About the Code; PART I: BASIC CONCEPTS AND SOLUTION TECHNIQUES; 1 Preliminaries; 1.1 A Simple Example of Non-linear Behaviour; 1.2 A Review of Concepts from Linear Algebra; 1.3 Vectors and Tensors; 1.4 Stress and Strain Tensors; 1.5 Elasticity; 1.6 The PyFEM Finite Element Library; References; 2 Non-linear Finite Element Analysis; 2.1 Equilibrium and Virtual Work; 2.2 Spatial Discretisation by Finite Elements; 2.3 PyFEM: Shape Function Utilities; 2.4 Incremental-iterative Analysis
2.5 Load versus Displacement Control2.6 PyFEM: A Linear Finite Element Code with Displacement Control; References; 3 Geometrically Non-linear Analysis; 3.1 Truss Elements; 3.1.1 Total Lagrange Formulation; 3.1.2 Updated Lagrange Formulation; 3.1.3 Corotational Formulation; 3.2 PyFEM: The Shallow Truss Problem; 3.3 Stress and Deformation Measures in Continua; 3.4 Geometrically Non-linear Formulation of Continuum Elements; 3.4.1 Total and Updated Lagrange Formulations; 3.4.2 Corotational Formulation; 3.5 Linear Buckling Analysis; 3.6 PyFEM: A Geometrically Non-linear Continuum Element References4 Solution Techniques in Quasi-static Analysis; 4.1 Line Searches; 4.2 Path-following or Arc-length Methods; 4.3 PyFEM: Implementation of Riks' Arc-length Solver; 4.4 Stability and Uniqueness in Discretised Systems; 4.4.1 Stability of a Discrete System; 4.4.2 Uniqueness and Bifurcation in a Discrete System; 4.4.3 Branch Switching; 4.5 Load Stepping and Convergence Criteria; 4.6 Quasi-Newton Methods; References; 5 Solution Techniques for Non-linear Dynamics; 5.1 The Semi-discrete Equations; 5.2 Explicit Time Integration; 5.3 PyFEM: Implementation of an Explicit Solver 5.4 Implicit Time Integration5.4.1 The Newmark Family; 5.4.2 The HHT α-method; 5.4.3 Alternative Implicit Methods for Time Integration; 5.5 Stability and Accuracy in the Presence of Non-linearities; 5.6 Energy-conserving Algorithms; 5.7 Time Step Size Control and Element Technology; References; PART II: MATERIAL NON-LINEARITIES; 6 Damage Mechanics; 6.1 The Concept of Damage; 6.2 Isotropic Elasticity-based Damage; 6.3 PyFEM: A Plane-strain Damage Model; 6.4 Stability, Ellipticity and Mesh Sensitivity; 6.4.1 Stability and Ellipticity; 6.4.2 Mesh Sensitivity; 6.5 Cohesive-zone Models 6.6 Element Technology: Embedded Discontinuities6.7 Complex Damage Models; 6.7.1 Anisotropic Damage Models; 6.7.2 Microplane Models; 6.8 Crack Models for Concrete and Other Quasi-brittle Materials; 6.8.1 Elasticity-based Smeared Crack Models; 6.8.2 Reinforcement and Tension Stiffening; 6.9 Regularised Damage Models; 6.9.1 Non-local Damage Models; 6.9.2 Gradient Damage Models; References; 7 Plasticity; 7.1 A Simple Slip Model; 7.2 Flow Theory of Plasticity; 7.2.1 Yield Function; 7.2.2 Flow Rule; 7.2.3 Hardening Behaviour; 7.3 Integration of the Stress-strain Relation 7.4 Tangent Stiffness Operators |
| Record Nr. | UNINA-9910840823503321 |
| Chichester, West Sussex, : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||