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Current trends and open problems in computational mechanics / / edited by Fadi Aldakheel [and five others]
Current trends and open problems in computational mechanics / / edited by Fadi Aldakheel [and five others]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (587 pages)
Disciplina 620.10015118
Soggetto topico Mechanics, Applied - Mathematical models
ISBN 3-030-87312-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Contents -- Multiphysics Computation of Thermomechanical Fatigue in Electronics Under Electrical Loading -- 1 Introduction -- 2 Governing Equations -- 3 Model Problem -- 4 Simulation and Results -- 5 Conclusion -- References -- Phase-Field Modeling of Fatigue Crack Propagation in Brittle Materials -- 1 Introduction -- 2 Phase-Field Modeling of Brittle Fracture -- 2.1 Basic Kinematics at Small Strains -- 2.2 Constitutive Work Density Function -- 2.3 Governing Equations -- 3 Phase-Field Model for Fatigue Crack Growth -- 4 Numerical Examples -- 4.1 Single-Edge Notched Test -- 4.2 Block with Multiple Holes Under Cyclic Loading -- 5 Conclusion -- References -- A Non-intrusive Global/Local Cycle-Jumping Techniques: Application to Visco-Plastic Structures -- 1 Introduction -- 2 Reference Problem and Solution -- 3 Summary of the Chosen Cycle-Jumping Technique -- 4 Coupling with the Global/Local Method -- 5 Conclusion -- References -- VEM Approach for Homogenization of Fibre-Reinforced Composites with Curvilinear Inclusions -- 1 Introduction -- 2 Asymptotic Homogenization of Doubly Periodic Fibre Reinforced Composite Materials -- 2.1 Homogenized Equilibrium Equation and Effective Material Moduli -- 3 C0 Curved Virtual Element Method -- 3.1 The Virtual Element Space -- 3.2 Numerical Test -- 4 Conclusion -- References -- Free Bloch Wave Propagation in Periodic Cauchy Materials: Analytical and Computational Strategies -- 1 Introduction -- 2 Wave Propagation in Periodic Cauchy Materials -- 2.1 Direct Strategy -- 2.2 Indirect Strategy -- 3 Dispersion Properties via Finite Element Formulation -- 3.1 Direct Strategy -- 3.2 Indirect Strategy -- 4 Conclusions -- References -- Divergence Free VEM for the Stokes Problem with No Internal Degrees of Freedom -- 1 Introduction -- 2 Discrete Velocity Spaces.
3 A Projection Operator and the Discrete Problem -- 4 Numerical Tests -- References -- Strategy for Preventing Membrane Locking Through Reparametrization -- 1 Introduction -- 2 Curved Bernoulli Beam -- 2.1 Standard Displacement Formulation (u,w) -- 2.2 Mixed Displacement Formulation (u,w,uε) -- 3 Membrane Locking -- 4 Reparametrizations to Avoid Membrane Locking -- 4.1 First Reparametrization (u,uε) -- 4.2 Second Reparametrization (uε,w) -- 4.3 Third Reparametrization (uε,Aw) -- 4.4 Mechanical Interpretation of uε -- 5 Numerical Example -- 6 Conclusions -- References -- Model-Free Fracture Mechanics and Fatigue -- 1 Introduction -- 2 Classical Formulation -- 3 Data-Driven Approach -- 3.1 Rate-Independent Fracture -- 3.2 Rate-Dependent Fracture and Fatigue -- 4 Summary and Outlook -- References -- Node Based Non-invasive Form Finding Revisited-The Challenge of Remeshing -- 1 Introduction -- 2 A Brief Outline of Non-invasive Form Finding -- 2.1 The Quasi-Newton Update Iteration Step -- 2.2 Non-invasive Optimization -- 3 Mesh Transformation for Dealing with Remeshing -- 4 Academic Example -- 5 Summary -- References -- Micropolar Modelling of Periodic Cauchy Materials Based on Asymptotic Homogenization -- 1 Introduction -- 2 Microscopic and Macroscopic Governing Equations -- 3 Micro-Macro Kinematic Relations and Asymptotic Expansion of the Microscopic Governing Equations -- 4 Upscaling Relations and Third Order Polynomial Kinematic Map -- 5 Generalized Macro-Homogeneity Condition -- 6 Benchmark Test -- 7 Conclusions -- References -- Experimental and Numerical Investigation of Granules as Crash-Absorber in Ship Building -- 1 Introduction -- 2 Experimental Testing -- 3 Numerical Simulation -- 4 Conclusions -- References -- On Hydraulic Fracturing in Fully and Partially Saturated Brittle Porous Material -- 1 Introduction -- 2 Governing Equations.
2.1 Fracturing of Brittle Porous Solids -- 2.2 Fluid Components -- 2.3 Equations Governing the Numerical Computations -- 3 Numerical Example -- 4 Conclusion -- References -- Efficient Two-Scale Modeling of Porous Media Using Numerical Model Reduction with Fully Computable Error Bounds -- 1 Introduction -- 2 Computational Homogenization with Model Reduction -- 3 Estimation of the NMR Error for the RVE Problem -- 4 Conclusions -- References -- Perspectives on the Master-Master Contact Formulation -- 1 Introduction -- 1.1 Master-Slave Scheme -- 1.2 Contact Contributions in a Numerical Model -- 2 Pointwise Contact -- 2.1 Master-Master Scheme -- 3 Challenges for Future Research -- References -- Remarks on the History of Glacier Research and the Flow Law of Ice -- 1 Beginnings of Glacier Ice Research -- 2 First Measurements and Link with Young Thermodynamics -- 3 Creep Law for Ice -- 4 Beyond the Power Law -- References -- Anisotropic Failure Criteria in Relation to Crack Phase-Field Modeling at Finite Strains -- 1 Introduction -- 2 Anisotropic Crack Phase-Field Modeling -- 2.1 Geometrical Aspects of Anisotropic Phase-Field Modeling -- 2.2 Balance Equations of Phase-Field Modeling of Rupture -- 2.3 Constitutive Aspects of Anisotropic Phase-Field Modeling -- 3 Discussion -- References -- A Poroelastic Element for FEAP Using AceGen -- 1 Introduction to Poroelasticity -- 2 Linear Poroelasticity -- 2.1 Theory -- 2.2 Variational Equations -- 2.3 Finite Element Solution -- 3 Automated Computational Modeling Using AceGen -- 4 Results and Discussion -- 4.1 Mandel Problem -- 4.2 Consolidation Problem -- 5 Closure -- References -- Contact Formulation for Second Gradient Materials -- 1 Introduction -- 2 Finite Strain Second Gradient Material -- 3 Contact Constraints -- 4 Conclusions -- References.
Locking-Free Mixed Finite Element Methods and Their Spurious Hourglassing Patterns -- 1 Introduction -- 2 The Five-Field Finite Element Formulation -- 2.1 Deformation Gradient -- 2.2 Variational Framework -- 2.3 Discretization -- 3 Numerical Investigations -- 3.1 Cook's Membrane -- 3.2 Stability Test -- 3.3 Necking Plane Strain -- 3.4 Necking Circular Bar -- 3.5 Spherical Shell with Opening -- 4 Conclusion -- References -- Adaptive Virtual Element Method for Large-Strain Phase-Field Fracture -- 1 Introduction -- 2 Phase-Field Modeling of Brittle Fracture -- 2.1 Basic Kinematics -- 2.2 Constitutive Work Density Function -- 2.3 Governing Equations -- 3 The VEM -- 3.1 The VEM Projection -- 3.2 Construction of the Virtual Element -- 4 Mesh Refinement -- 5 Numerical Examples -- 5.1 Single-Edge Notched Tension Test -- 5.2 Single-Edge Notched Shear Test -- 6 Conclusion -- References -- Galerkin Formulations with Greville Quadrature Rules for Isogeometric Shell Analysis: Higher Order Elements and Locking -- 1 Introduction -- 2 Greville Quadrature -- 2.1 Definition of Greville Quadrature -- 2.2 Greville Quadrature for Shells -- 2.3 Scordelis-Lo Roof -- 3 Conclusions -- References -- Thermodynamic Topology Optimization of Layered Anisotropic Materials -- 1 Introduction -- 2 Thermodynamic Optimization -- 2.1 Design Variables -- 2.2 Material Definition -- 2.3 Optimization Model -- 2.4 Stationarity Conditions and Evolution Equations -- 3 Numerical Solution -- 3.1 Program Structure -- 3.2 Initial Conditions -- 3.3 Material Orientation Filter -- 4 Numerical Results -- 4.1 Material Parameters and Boundary Conditions -- 4.2 Results Without Material Orientation Filter -- 4.3 Material Orientation Filter -- 4.4 Prescribing the Layer Normal -- 5 Conclusions and Outlook -- References -- A Review of Nonlocality in Computational Contact Mechanics -- 1 Introduction.
2 Nonlocal Interactions in Discretized Models -- 3 Nonlocal Interaction Through a Fictitious Medium -- 4 Nonlcal Interaction Through Integral Operators -- 5 Borrowing from Peridynamics: Frictional Nonlocal Contact -- 6 Conclusions and Future Directions -- References -- Optimal Control for Phase-Field Fracture: Algorithmic Concepts and Computations -- 1 Introduction -- 2 Problem Statements -- 2.1 Phase-Field Fracture Forward Problem -- 2.2 Optimization Problem -- 3 Reduced Optimization Problem -- 4 Algorithmic Realization -- 5 Numerical Example -- References -- A Strong Form Meshfree Collocation Method: Engineering Applications Including Frictional Contact -- 1 A Strong Form Meshfree Collocation Method -- 1.1 Approximation of Derivative Operators -- 1.2 Discretization of a Strong Form for Frictional Contact -- 2 Applications Including Frictional Contact -- References -- A Mixed XFEM Formulation to Simulate Dynamic Wave Propagation in Nearly Incompressible Materials -- 1 Introduction -- 2 The XQ1XP0 Formulation for Small Deformations and Dynamic Problems -- 3 Quasi-longitudinal Wave Reflection Pattern of a Cylindrical Heterogeneity -- 4 Conclusions -- References -- What Machine Learning Can Do for Computational Solid Mechanics -- 1 Introduction -- 2 Material Modeling -- 2.1 Accelerating Multiscale Simulations -- 2.2 Data-Driven Constitutive Models: Beyond Simulation-Based Training -- 2.3 Learning to Solve PDEs -- 3 Design of (meta-)materials -- 3.1 Accelerating Topology Optimization -- 3.2 Efficiently Exploring Design Spaces -- 3.3 Inverting Structure-Property Maps -- 4 Conclusions and Outlook -- References -- On a Physics-Compatible Approach for Data-Driven Computational Mechanics -- 1 Introduction -- 2 Basic Ideas -- 2.1 The Computation Problem -- 2.2 Principle P1: Separation of Equations -- 2.3 Principle P2: The Experimental Constitutive Manifold.
2.4 Structure Computation.
Record Nr. UNINA-9910552732303321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dynamics and bifurcations of non-smooth mechanical systems / Remco I. Leine, Henk Nijmeijer
Dynamics and bifurcations of non-smooth mechanical systems / Remco I. Leine, Henk Nijmeijer
Autore Leine, Remco I.
Pubbl/distr/stampa Berlin ; New York : Springer, c2004
Descrizione fisica xii, 236 p. : ill. ; 25 cm
Disciplina 620.1
Altri autori (Persone) Nijmeijer, H. (Hendrik), 1955-author
Collana Lecture notes in applied and computational mechanics ; 18
Soggetto topico Mechanics, Applied - Mathematical models
Bifurcation theory
Differentiable dynamical systems
ISBN 3540219870
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000213709707536
Leine, Remco I.  
Berlin ; New York : Springer, c2004
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Journal of the Serbian Society for Computational Mechanics
Journal of the Serbian Society for Computational Mechanics
Pubbl/distr/stampa Kragujevac : , : Serbian Society for Computational Mechanics, , [2007]-
Descrizione fisica 1 online resource
Soggetto topico Mechanics, Applied - Mathematics
Mechanics, Applied - Mathematical models
Soggetto genere / forma Periodicals.
ISSN 2620-1941
Formato Materiale a stampa
Livello bibliografico Periodico
Lingua di pubblicazione eng
Altri titoli varianti JSSCM
Record Nr. UNINA-9910891376203321
Kragujevac : , : Serbian Society for Computational Mechanics, , [2007]-
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lattice Boltzmann method and its applications in engineering / / Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore
Lattice Boltzmann method and its applications in engineering / / Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore
Autore Guo Zhaoli
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2013
Descrizione fisica 1 online resource (xiii, 404 pages) : illustrations (some color)
Disciplina 530.138
Collana Advances in computational fluid dynamics
Soggetto topico Lattice Boltzmann methods
Fluid dynamics - Mathematical models
Mechanics, Applied - Mathematical models
ISBN 981-4508-30-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Dedication; Preface; Contents; Chapter 1 Introduction; 1.1 Description of Fluid System at Different Scales; 1.1.1 Microscopic description: molecular dynamics; 1.1.2 Mesoscopic description: kinetic theory; 1.1.3 Macroscopic description: hydrodynamic equations; 1.2 Numerical Methods for Fluid Flows; 1.3 History of LBE; 1.3.1 Lattice gas automata; 1.3.2 From LGA to LBE; 1.3.3 From continuous Boltzmann equation to LBE; 1.4 Basic Models of LBE; 1.4.1 LBGK models; 1.4.2 From LBE to the Navier-Stokes equations: Chapman-Enskog expansion; 1.4.3 LBE models with multiple relaxation times; 1.5 Summary
Chapter 2 Initial and Boundary Conditions for Lattice Boltzmann Method2.1 Initial Conditions; 2.1.1 Equilibrium scheme; 2.1.2 Non-equilibrium scheme; 2.1.3 Iterative method; 2.2 Boundary Conditions for Flat Walls; 2.2.1 Heuristic schemes; 2.2.2 Hydrodynamic schemes; 2.2.3 Extrapolation schemes; 2.3 Boundary Conditions for Curved Walls; 2.3.1 Bounce-back schemes; 2.3.2 Fictitious equilibrium schemes; 2.3.3 Interpolation schemes; 2.3.4 Non-equilibrium extrapolation scheme; 2.4 Pressure Boundary Conditions; 2.4.1 Periodic boundary conditions; 2.4.2 Hydrodynamic schemes
2.4.3 Extrapolation schemes2.5 Summary; Chapter 3 Improved Lattice Boltzmann Models; 3.1 Incompressible Models; 3.2 Forcing Schemes with Reduced Discrete Lattice Effects; 3.2.1 Scheme with modified equilibrium distribution function; 3.2.2 Schemes with a forcing term; 3.2.3 Analysis of the forcing schemes; 3.2.4 Forcing scheme for MRT-LBE; 3.3 LBE with Nonuniform Grids; 3.3.1 Grid-refinement and multi-block methods; 3.3.2 Interpolation methods; 3.3.3 Finite-difference based LBE methods; 3.3.4 Finite-volume based LBE methods; 3.3.5 Finite-element based LBE methods
3.3.6 Taylor series expansion and least square based methods3.4 Accelerated LBE Methods for Steady Flows; 3.4.1 Spectrum analysis of the hydrodynamic equations of the standard LBE; 3.4.2 Time-independent methods; 3.4.3 Time-dependent methods; 3.5 Summary; Chapter 4 Sample Applications of LBE for Isothermal Flows; 4.1 Algorithm Structure of LBE; 4.2 Lid-Driven Cavity Flow; 4.3 Flow around a Fixed Circular Cylinder; 4.4 Flow around an Oscillating Circular Cylinder with a Fixed Downstream One; 4.5 Summary; Chapter 5 LBE for Low Speed Flows with Heat Transfer; 5.1 Multi-speed Models
5.1.1 Low-order models5.1.2 High-order models; 5.2 MS-LBE Models Based on Boltzmann Equation; 5.2.1 Hermite expansion of distribution function; 5.2.2 Temperature/flow-dependent discrete velocities; 5.2.3 Temperature-dependent discrete velocities; 5.2.4 Constant discrete velocities; 5.2.5 MS-LBGK models based on DVBE with constant discrete velocities; 5.3 Off-Lattice LBE Models; 5.4 MS-LBE Models with Adjustable Prandtl Number; 5.5 DDF-LBE Models without Viscous Dissipation and Compression Work; 5.5.1 DDF-LBE based on multi-component models; 5.5.2 DDF-LBE for non-ideal gases
5.5.3 DDF-LBE for incompressible flows
Record Nr. UNINA-9910786970903321
Guo Zhaoli  
Singapore ; ; Hackensack, NJ, : World Scientific, c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lattice Boltzmann method and its applications in engineering / / Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore
Lattice Boltzmann method and its applications in engineering / / Zhaoli Guo, Huazhong University of Science and Technology, China, Chang Shu, National University of Singapore, Singapore
Autore Guo Zhaoli
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2013
Descrizione fisica 1 online resource (xiii, 404 pages) : illustrations (some color)
Disciplina 530.138
Collana Advances in computational fluid dynamics
Soggetto topico Lattice Boltzmann methods
Fluid dynamics - Mathematical models
Mechanics, Applied - Mathematical models
ISBN 981-4508-30-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Dedication; Preface; Contents; Chapter 1 Introduction; 1.1 Description of Fluid System at Different Scales; 1.1.1 Microscopic description: molecular dynamics; 1.1.2 Mesoscopic description: kinetic theory; 1.1.3 Macroscopic description: hydrodynamic equations; 1.2 Numerical Methods for Fluid Flows; 1.3 History of LBE; 1.3.1 Lattice gas automata; 1.3.2 From LGA to LBE; 1.3.3 From continuous Boltzmann equation to LBE; 1.4 Basic Models of LBE; 1.4.1 LBGK models; 1.4.2 From LBE to the Navier-Stokes equations: Chapman-Enskog expansion; 1.4.3 LBE models with multiple relaxation times; 1.5 Summary
Chapter 2 Initial and Boundary Conditions for Lattice Boltzmann Method2.1 Initial Conditions; 2.1.1 Equilibrium scheme; 2.1.2 Non-equilibrium scheme; 2.1.3 Iterative method; 2.2 Boundary Conditions for Flat Walls; 2.2.1 Heuristic schemes; 2.2.2 Hydrodynamic schemes; 2.2.3 Extrapolation schemes; 2.3 Boundary Conditions for Curved Walls; 2.3.1 Bounce-back schemes; 2.3.2 Fictitious equilibrium schemes; 2.3.3 Interpolation schemes; 2.3.4 Non-equilibrium extrapolation scheme; 2.4 Pressure Boundary Conditions; 2.4.1 Periodic boundary conditions; 2.4.2 Hydrodynamic schemes
2.4.3 Extrapolation schemes2.5 Summary; Chapter 3 Improved Lattice Boltzmann Models; 3.1 Incompressible Models; 3.2 Forcing Schemes with Reduced Discrete Lattice Effects; 3.2.1 Scheme with modified equilibrium distribution function; 3.2.2 Schemes with a forcing term; 3.2.3 Analysis of the forcing schemes; 3.2.4 Forcing scheme for MRT-LBE; 3.3 LBE with Nonuniform Grids; 3.3.1 Grid-refinement and multi-block methods; 3.3.2 Interpolation methods; 3.3.3 Finite-difference based LBE methods; 3.3.4 Finite-volume based LBE methods; 3.3.5 Finite-element based LBE methods
3.3.6 Taylor series expansion and least square based methods3.4 Accelerated LBE Methods for Steady Flows; 3.4.1 Spectrum analysis of the hydrodynamic equations of the standard LBE; 3.4.2 Time-independent methods; 3.4.3 Time-dependent methods; 3.5 Summary; Chapter 4 Sample Applications of LBE for Isothermal Flows; 4.1 Algorithm Structure of LBE; 4.2 Lid-Driven Cavity Flow; 4.3 Flow around a Fixed Circular Cylinder; 4.4 Flow around an Oscillating Circular Cylinder with a Fixed Downstream One; 4.5 Summary; Chapter 5 LBE for Low Speed Flows with Heat Transfer; 5.1 Multi-speed Models
5.1.1 Low-order models5.1.2 High-order models; 5.2 MS-LBE Models Based on Boltzmann Equation; 5.2.1 Hermite expansion of distribution function; 5.2.2 Temperature/flow-dependent discrete velocities; 5.2.3 Temperature-dependent discrete velocities; 5.2.4 Constant discrete velocities; 5.2.5 MS-LBGK models based on DVBE with constant discrete velocities; 5.3 Off-Lattice LBE Models; 5.4 MS-LBE Models with Adjustable Prandtl Number; 5.5 DDF-LBE Models without Viscous Dissipation and Compression Work; 5.5.1 DDF-LBE based on multi-component models; 5.5.2 DDF-LBE for non-ideal gases
5.5.3 DDF-LBE for incompressible flows
Record Nr. UNINA-9910807295603321
Guo Zhaoli  
Singapore ; ; Hackensack, NJ, : World Scientific, c2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
Autore Ottosen Niels Saabye
Pubbl/distr/stampa Amsterdam ; ; London, : Elsevier, 2005
Descrizione fisica 1 online resource (759 p.)
Disciplina 620.105015118
Altri autori (Persone) RistinmaaMatti
Soggetto topico Mechanics, Applied - Mathematical models
Mathematics
Soggetto genere / forma Electronic books.
ISBN 1-281-02469-4
9786611024697
0-08-052569-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity
4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function
5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants
8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory
9.1 Change of yield surface due to loading - Hardening rules
Record Nr. UNINA-9910458487603321
Ottosen Niels Saabye  
Amsterdam ; ; London, : Elsevier, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
Autore Ottosen Niels Saabye
Pubbl/distr/stampa Amsterdam ; ; London, : Elsevier, 2005
Descrizione fisica 1 online resource (759 p.)
Disciplina 620.105015118
Altri autori (Persone) RistinmaaMatti
Soggetto topico Mechanics, Applied - Mathematical models
Mathematics
ISBN 1-281-02469-4
9786611024697
0-08-052569-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity
4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function
5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants
8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory
9.1 Change of yield surface due to loading - Hardening rules
Record Nr. UNINA-9910784539103321
Ottosen Niels Saabye  
Amsterdam ; ; London, : Elsevier, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The mechanics of constitutive modeling / / Niels Saabye Ottosen, Matti Ristinmaa
The mechanics of constitutive modeling / / Niels Saabye Ottosen, Matti Ristinmaa
Autore Ottosen Niels Saabye
Edizione [1st ed.]
Pubbl/distr/stampa Amsterdam ; ; London, : Elsevier, 2005
Descrizione fisica 1 online resource (759 p.)
Disciplina 620.105015118
Altri autori (Persone) RistinmaaMatti
Soggetto topico Mechanics, Applied - Mathematical models
Mathematics
ISBN 1-281-02469-4
9786611024697
0-08-052569-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity
4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function
5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants
8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory
9.1 Change of yield surface due to loading - Hardening rules
Record Nr. UNINA-9910954058903321
Ottosen Niels Saabye  
Amsterdam ; ; London, : Elsevier, 2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The mechanics of constitutive modeling [e-book] / Niels Saabye Ottosen, Matti Ristinmaa
The mechanics of constitutive modeling [e-book] / Niels Saabye Ottosen, Matti Ristinmaa
Autore Ottosen, Niels Saabye
Pubbl/distr/stampa Amsterdam ; London : Elsevier, 2005
Descrizione fisica xii, 745 p. : ill. ; 25 cm
Disciplina 620.105015118
Altri autori (Persone) Ristinmaa, Mattiauthor
Soggetto topico Mechanics, Applied - Mathematical models
Soggetto genere / forma Electronic books.
ISBN 9780080446066
008044606X
Formato Risorse elettroniche
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003232739707536
Ottosen, Niels Saabye  
Amsterdam ; London : Elsevier, 2005
Risorse elettroniche
Lo trovi qui: Univ. del Salento
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Multiphysics modeling : materials, components, and systems / / Murat Peksen
Multiphysics modeling : materials, components, and systems / / Murat Peksen
Autore Peksen Murat
Pubbl/distr/stampa London, United Kingdom : , : Academic Press, an imprint of Elsevier, , [2018]
Descrizione fisica 1 online resource (285 pages)
Disciplina 620.10015118
Soggetto topico Mechanics, Applied - Mathematical models
Mechanics, Applied - Simulation methods
Continuum mechanics
Multiphase flow
ISBN 0-12-811903-9
0-12-811824-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910583305003321
Peksen Murat  
London, United Kingdom : , : Academic Press, an imprint of Elsevier, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui