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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 | ||
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Encyclopedia of computational mechanics / editors Erwin Stein, Rene de Borst, Thomas J. R. Hughes
| Encyclopedia of computational mechanics / editors Erwin Stein, Rene de Borst, Thomas J. R. Hughes |
| Pubbl/distr/stampa | Chichester, : Wiley, 2004 |
| Descrizione fisica | 3 volumi ; 29 cm. |
| Disciplina |
620.1001
620.10015118 |
| Soggetto topico | Meccanica applicata - Modelli matematici |
| ISBN | 0470846992 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-PUV0971649 |
| Chichester, : Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems : In Honor of Michael Ortiz's 60th Birthday / / edited by Kerstin Weinberg, Anna Pandolfi
| Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems : In Honor of Michael Ortiz's 60th Birthday / / edited by Kerstin Weinberg, Anna Pandolfi |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (VIII, 307 p. 108 illus., 22 illus. in color.) |
| Disciplina | 620.10015118 |
| Collana | Lecture Notes in Applied and Computational Mechanics |
| Soggetto topico |
Mechanics
Mechanics, Applied Calculus of variations Mathematical physics Solid Mechanics Calculus of Variations and Optimal Control; Optimization Mathematical Applications in the Physical Sciences |
| ISBN | 3-319-39022-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Robust Numerical Schemes for an Efficient Implementation of Tangent Matrices: Application to Hyperelasticity, Inelastic Standard Dissipative Materials and Thermo-Mechanics at Finite Strains -- Folding patterns in partially delaminated thin films -- Thermo-mechanical Behavior of Confined Granular Systems -- Elastomeric gels: a model and first results -- A Tensegrity Paradigm for Minimal Mass Design of Roofs and Bridges -- Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems -- Free energy, free entropy, and a gradient structure for Thermoplasticity -- Comparison of isotropic elasto-plastic models for the plastic metric tensor Cp = FT p Fp -- Quasi-static evolutions in brittle fracture generated by gradient flows: sharp crack and phase-field approaches -- Improving the Material-PointMethod -- Meshfree methods applied to consolidation problems in saturated Soils -- A multiscale microstructural model of permeability in fractured Solids -- Thermal diffusion in a polymer blend. |
| Record Nr. | UNINA-9910254238903321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mechanical Simulation with MATLAB® / / by Dan B. Marghitu, Hamid Ghaednia, Jing Zhao
| Mechanical Simulation with MATLAB® / / by Dan B. Marghitu, Hamid Ghaednia, Jing Zhao |
| Autore | Marghitu Dan B. |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (256 pages) |
| Disciplina | 620.10015118 |
| Collana | Springer Tracts in Mechanical Engineering |
| Soggetto topico |
Dynamics
Nonlinear theories Mechanics Robotics Applied Dynamical Systems Classical Mechanics Robotic Engineering |
| ISBN | 3-030-88102-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Classical Analysis of a Mechanism with One Dyad -- Contour Analysis of a Mechanism with One Dyad -- Classical Analysis of a Mechanism with Two Dyads -- Contour Analysis of a Mechanism with Two Dyads -- Dyad Routines for Mechanisms -- Epicyclic Gear Trains -- Cam and Follower Mechanism -- Direct Dynamics. |
| Record Nr. | UNINA-9910523748903321 |
Marghitu Dan B.
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Peksen Murat
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| London, United Kingdom : , : Academic Press, an imprint of Elsevier, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Real Time Reduced Order Computational Mechanics : Parametric PDEs Worked Out Problems
| Real Time Reduced Order Computational Mechanics : Parametric PDEs Worked Out Problems |
| Autore | Rozza Gianluigi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer, , 2024 |
| Descrizione fisica | 1 online resource (180 pages) |
| Disciplina | 620.10015118 |
| Altri autori (Persone) |
BallarinFrancesco
ScandurraLeonardo PichiFederico |
| Collana | SISSA Springer Series |
| ISBN | 3-031-49892-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 A Short Introduction to Reduced Basis Method -- 1.1 Parametric PDEs -- 1.2 Reduced Basis Method -- Proper Orthogonal Decomposition (POD) -- Greedy Algorithm -- Affine Decomposition -- Speedup and Error Analysis -- 1.3 Beyond the Basics -- Supremizer -- Geometrical Parametrization -- Time-Dependent Problem -- Primal-Dual Approximation -- Successive Constraint Method (SCM) -- Empirical Interpolation Method (EIM) -- Discrete Empirical Interpolation Method (DEIM) -- References -- Part I Worked Out Problems for Beginners: Steady Cases -- 2 Worked Out Problem 1: Steady Heat Conduction in a Thermal Block -- 2.1 Problem Description -- 2.2 Numerical Results -- 2.3 Exercises -- References -- 3 Worked Out Problem 2: A Linear Elasticity Problem on a Square -- 3.1 Problem Description -- 3.2 Numerical Results -- 3.3 Exercises -- References -- 4 Worked Out Problem 3: Thermal Transfer Problem in a Parametrized Geometry -- 4.1 Problem Description -- 4.2 Numerical Results -- 4.3 Exercises -- References -- 5 Worked Out Problem 4: A Transport Problem for the 2D Graetz Flow -- 5.1 Problem Description -- 5.2 Numerical Results -- 5.3 Exercises -- References -- 6 Worked Out Problem 5: Heat Conduction with Gaussian Flux -- 6.1 Problem Description -- 6.2 Numerical Results -- 6.3 Exercises -- References -- Part II Advanced Worked Out Problems: Time Dependent and Nonlinear Cases -- 7 Worked Out Problem 6: Unsteady Heat Conduction in a Thermal Block -- 7.1 Problem Description -- 7.2 Numerical Results -- 7.3 Exercises -- References -- 8 Worked Out Problem 7: A Nonlinear Elliptic Problem -- 8.1 Problem Description -- 8.2 Numerical Results -- 8.3 Exercises -- References -- 9 Worked Out Problem 8: A Nonlinear Parabolic FitzHugh-Nagumo Problem -- 9.1 Problem Description -- 9.2 Numerical Results -- 9.3 Exercises -- References.
Part III Real-Life Worked Out Problems: Engineering Applications -- 10 Worked Out Problem 9: A Thermal Conduction Problem Through an Extended Surface -- 10.1 Problem Description -- 10.2 Numerical Results -- 10.3 Exercises -- References -- 11 Worked Out Problem 10: An Idealized Contact Problem in Linear Elasticity with Friction -- 11.1 Problem Description -- 11.2 Numerical Results -- 11.3 Exercises -- References -- 12 Worked Out Problem 11: A Linear Elasticity Application on a Beam Bridge -- 12.1 Problem Description -- 12.2 Numerical Results -- 12.3 Exercises -- References -- Part IV Fluid Dynamics Worked Out Problems -- 13 Worked Out Problem 12: Navier-Stokes System for a Backward-Facing Step -- 13.1 Problem Description -- 13.2 Numerical Results -- 13.3 Exercises -- References -- 14 Worked Out Problem 13: Bifurcating Coanda Effect in a Channel -- 14.1 Problem Description -- 14.2 Numerical Results -- 14.3 Exercises -- References -- 15 Worked Out Problem 14: Unsteady Navier-Stokes Equations for Vortex Shedding Behind a Cylinder -- 15.1 Problem Description -- 15.2 Numerical Results -- 15.3 Exercises -- References -- Part V More Advanced Worked Out Problems -- 16 Worked Out Problem 15: Stabilized Reduced Method for an Advection Dominated Problem -- 16.1 Problem Description -- 16.2 Numerical Results -- 16.3 Exercises -- References -- 17 Worked Out Problem 16: A Parametrized Elliptic Optimal Control Problem -- 17.1 Problem Description -- 17.2 Numerical Results -- 17.3 Exercises -- References -- 18 Worked Out Problem 17: Uncertainty Quantification for a Stochastic Thermal Block -- 18.1 Problem Description -- 18.2 Numerical Results -- 18.3 Exercises -- References. |
| Record Nr. | UNINA-9910864187803321 |
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Rozza Gianluigi
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| Cham : , : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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