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An Expedition to Continuum Theory / / by Wolfgang H. Müller
| An Expedition to Continuum Theory / / by Wolfgang H. Müller |
| Autore | Müller Wolfgang H |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (408 p.) |
| Disciplina | 531 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Mechanics
Mechanics, Applied Continuum physics Materials science Theoretical and Applied Mechanics Classical and Continuum Physics Materials Science, general |
| ISBN | 94-007-7799-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Prologue -- 2 Coordinate transformations -- 3 Balances (in particular in Cartesian systems -- 4 Spatial derivatives of fields -- 5 Balance equations in skew curvilinear coordinate systems -- 6 Constitutive equations in arbitrary coordinate systems -- 7 A first glance on field equations -- 8 Observers and frames of reference in classical continuum theory -- 9 Problems of linear elasticity -- 10 Selected problems for Newtonian and Maxwellian fluids -- 11 Introduction to time-independent plasticity theory -- 12 Entropy -- 13 Fundamentals of electromagnetic field theory -- Picture sources -- Subject index. |
| Record Nr. | UNINA-9910299720803321 |
Müller Wolfgang H
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| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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New Achievements in Mechanics : A Tribute to Klaus Peter Herrmann
| New Achievements in Mechanics : A Tribute to Klaus Peter Herrmann |
| Autore | Müller Wolfgang H |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer, , 2024 |
| Descrizione fisica | 1 online resource (457 pages) |
| Altri autori (Persone) |
NoeAlfons
FerberFerdinand |
| Collana | Advanced Structured Materials Series |
| ISBN |
9783031561320
9783031561313 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Contents -- The Scientific Work of K. P. Herrmann -- 1 Beginnings and Scope of Scientific Work of K. P. Herrmann -- 2 Ph.D. Students -- 3 Books and Monographs -- 4 Peer-Reviewed Journals -- 5 Conference Proceedings -- 6 Reports and Miscellaneous -- Closed-Form Analysis and Assessment of the Free-Edge Effect in Angle-Ply Laminates -- 1 Introduction -- 2 Failure Models -- 2.1 Finite Fracture Mechanics -- 2.2 Cohesive Zone Model -- 3 Layerwise Third-Order Model for the Free-Edge Effect -- 3.1 Underlying Boundary Value Problem -- 3.2 Closed-Form Approach -- 3.3 Numerical Reference Model -- 3.4 Displacement and Stress Solution -- 4 Onset of Delamination According to Finite Fracture Mechanics -- 4.1 Evaluation of the Coupled Criterion -- 4.2 Implementation of the Cohesive Zone Reference Model -- 4.3 Failure Load Predictions and Discussion -- 5 Conclusion -- References -- Modeling the Microstructure of Polycrystalline Sn-Ag-Cu Solders -- 1 Introduction -- 2 SAC Grain Anisotropic Viscoplastic Constitutive Model -- 3 SAC Grain Boundary Isotropic Viscoplastic Constitutive Model -- 4 Synthesis of Multi-Grain Models -- 5 Multigrain Greep Simulation -- 6 Conclusion and Future Work -- References -- Thermomechanical Analysis of Sandwich Pipes with Graded Core -- 1 Introduction -- 2 Problem Formulation -- 3 Finite Element Model -- 3.1 Constraints, Loads and Boundary Conditions -- 3.2 Model Validation -- 4 Results and Discussion -- 5 Conclusions -- References -- M-Integral and Energy-Release Rates: A Didactical Account -- 1 Introduction -- 2 Path-Independent Integrals and Material Tractions -- 3 Hollow Circular Cylinder -- 3.1 General Solution -- 3.2 External Loads at the Inner and Outer Boundaries -- 3.3 Cylinder with Misfit Inclusion -- 3.4 Interaction Problem -- 4 Calculation of the M-Integral.
4.1 Evaluation of the Path-Independent Integral -- 4.2 Evaluation of the Virial of the Material Tractions -- 5 Self-similar Expansion -- 6 Conclusion -- Appendix -- References -- Optimal Design from Noether's Viewpoint -- 1 Noether's Theorems -- 1.1 Noether's Theorem in Physics -- 1.2 Energy-Momentum Tensor in Elasticity -- 2 Noether Theorem in Shape Optimization -- 2.1 Shape Variation and Optimization -- 2.2 Shape Optimization for Linear Elastic Solids -- 2.3 Shape Optimality from Noetherian Viewpoint -- 3 Local Variations and Topological Derivatives -- 3.1 Topology Optimization of Structures -- 3.2 Topological Optimality from Noetherian Viewpoint -- 4 Optimization for Anisotropic Elastic Medium -- 4.1 Anisotropic Elasticity. 4th Rank Tensor Notation -- 4.2 Optimization Problem -- 4.3 Rotational Optimality from Noetherian Viewpoint -- 5 Conclusions -- References -- Electrically Permeable Interface Crack with a Contact Zone in a 1D Piezoelectric Quasicrystal -- 1 Introduction -- 2 Formulation of the Problem and Constitutive Relations -- 3 Analytic Solution of the Problem -- 4 Analytical Expressions for the Components at the Interface -- 5 Contact Zone Model and Numerical Illustration -- 6 Conclusions -- References -- Positive Rates Predict Death Rates of Covid-19 Locally and Worldwide 13 Days Ahead -- 1 Introduction -- 2 Data -- 3 Positive Rate of Tests -- 4 upper I upper F upper RIFR Mortality of Covid-19 -- 5 Estimating the Total Number of Deaths -- 6 Estimating the Death Numbers in Germany 13 Days Ahead -- 7 The ``thermometer'' of the Covid-19-pandemic -- 8 Positive Rate and upper I upper F upper RIFR mortality in different countries -- 9 Conclusions -- References -- Clouds on a Model Planet -- 1 Introduction -- 2 Standard Conditions -- 2.1 Standard Dry Atmosphere: Temperature, Pressure, Density and Moisture -- 2.2 Enthalpy -- 3 Clouds. 3.1 Saturation -- 3.2 Dry Adiabatic Temperature Gradient -- 3.3 Cloud Base -- 3.4 On the Volume and the Thickness of Cumulus Clouds -- 4 Contributions to Energy Transfer -- 4.1 Solar and Planetary Radiations. Planck Distribution -- 4.2 Reflections -- 4.3 Solar Radiation -- 4.4 Radiation of Clouds and Ground -- 4.5 Convective Thermal Energy Flux -- 5 Balance Equations for Energies or Enthalpies -- 5.1 Balance of Enthalpy for the Cloud Cover -- 5.2 Balance of Energy of the Ground -- 6 Solutions -- 6.1 Special Choices of Parameters -- 6.2 Discussion -- References -- Simulation of Crack Propagation in Heterogeneous Materials by a Fracture Phase Field -- 1 Introduction -- 2 Linear Elastic Fracture Mechanics -- 2.1 Two Dimensional Crack-Tip Fields -- 2.2 Energy Release Rate -- 2.3 Configurational Forces -- 3 Phase Field Model for Fracture -- 4 Fracture Toughness of Exemplary Materials -- 4.1 Verification on Homogeneous Media -- 4.2 Application to Heterogeneous Media -- 5 Summary and Conclusion -- References -- Momentum and Spin Balance in an Inertial Frame Obtained by Using the Concept of Images -- 1 Introductory Remarks -- 2 Literature Review on Frame-Invariance of Continuum Mechanics Balances and Constitutive Equations -- 3 The Concept of Images and Its Application in Continuum Theory -- 3.1 Basic Concepts and Definitions -- 3.2 Euclidean Transformations and the Notion of Images -- 3.3 Transformation of Velocities in Image Form -- 3.4 Transformation of Accelerations in Image Form -- 3.5 Transformation of Balance Equations -- 3.6 The Pendulum Example -- 4 Conclusions -- 5 Appendix -- 5.1 Auxiliary Formulae for the Rotation Tensors -- 5.2 Transformation of the Substantial Time Derivative: Mass Density -- 5.3 Transformation of Substantial Time Derivative: Specific Momentum -- 5.4 Transformation of the Substantial Time Derivative: Microangular Velocity. References -- On Attempts to Interpret Maxwell's Equations Mechanically-A Review -- 1 Introductory Historical Remarks -- 2 The Æther as a Linear Elastic Medium -- 3 The Æther as a Micropolar Medium According to Zhilin -- 4 The Æther as a Geometrically Nonlinear Micropolar Medium According to Ivanova -- 5 Opinions About Form Invariance in Mechanics and Electrodynamics -- 6 Conclusions and Outlook -- References -- Warpage Reduction in Additively Manufactured Parts Based on Thermomechanical Modeling and a Novel Simulation Strategy for Laser Scanning -- 1 Introduction -- 2 Test Setup and Material Properties -- 3 Thermomechanical Modeling for FEM Simulations -- 3.1 Thermal System, Heat Transfer and Laser Velocity -- 3.2 Residual Stresses, Deformations, Solid Constitutive Laws -- 3.3 Reasons for the One-Way-Thermomechanical Coupling -- 4 The Inherent Strain Concept for FEM Analyses -- 5 Scanning Strategies -- 5.1 Averaged Surface Displacement -- 5.2 Average Path Length -- 5.3 Proportionally Rotated Scan Paths -- 6 Conclusion -- 7 Appendix -- References -- Numerical Strategies to Study Compression Failure in Brittle Foams with 3D Realistic Microstructures -- 1 Introduction -- 2 Microstructure Reconstruction -- 3 Uniaxial Compression Failure Simulation -- 4 Biaxial Compression Failure Simulation -- 4.1 Neural Network Based Surrogate Model -- 5 Conclusion -- References -- A Surrogate Model for Numerical Evaluation of Elastic Properties of Particulate Composites with Rotationally Symmetric Particles -- 1 Introduction -- 2 Microstructure Modeling -- 2.1 Particle Geometry Modeling -- 2.2 Algorithms to Estimate the Elastic Properties of the Surrogate Layers and the Core -- 3 Numerical Studies -- 3.1 Reference Area Element Containing a Single Particle -- 3.2 Representative Volume Elements Containing Multiple Particles -- 4 Discussion -- 5 Conclusion -- References. Additive Manufacturing and Experimental Analysis of a Beam with a 2D Triangular Substructure -- 1 Introduction -- 2 Material and Methods -- 2.1 CAD-Modelling -- 2.2 Material -- 2.3 3D Printing Methods -- 2.4 Print Strategy -- 3 Test Setup -- 4 Results and Discussion -- 4.1 Experimental Determination of Material Properties for Epoxy -- 5 Conclusions and Outlook -- References -- Mechanical Performance of MEAM Polymer Under Different Loading Conditions -- 1 Introduction -- 1.1 Overview -- 1.2 AM Processes -- 1.3 Applications and Challenges of Additive Manufacturing -- 2 Quasi-static and Dynamic Mechanical Properties of MEAM Polymers -- 2.1 Introduction to Material Extrusion Additive Manufactured Structures -- 2.2 Influence of Printing Parameters on Mechanical Properties -- 3 Nozzle Temperature -- 4 Specimen and Filament Orientation -- 5 Layer Height -- 5.1 Mechanical Properties of MEAM Polymer Structures -- 6 Materials, Manufacturing Process and Methodologies -- 6.1 Materials and Manufacturing Process -- 6.2 Quasi-static Experiments -- 6.3 Dynamic Impact Bending Experiment -- 7 Results and Discussion -- 7.1 Tensile-Compressive Results -- 7.2 3-Point Bending and Dynamic Impact Bending Results -- 8 Conclusions -- References -- An Overview of Methods for the Description of Rotations -- 1 Introduction -- 2 Definition of Reference Systems -- 3 General Description of Rotation -- 3.1 Active and Passive Rotations -- 3.2 Attitude Matrices -- 4 Euler Angles -- 4.1 Intrinsic and Extrinsic Rotations -- 4.2 Gimbal Lock -- 5 Quaternions -- 5.1 Rotations in Complex Numbers -- 5.2 Rotations with Quaternions -- 6 Conclusion -- References -- An Experimental and Numerical Exploration of Acceleration-Induced Cavitation in Soft Gel -- 1 Introduction -- 2 Experiments -- 3 Analytical Computation of the Bubble Radius -- 4 Finite Element Model of the Drop Test. 5 Finite Element Model of the Gel Sample. |
| Record Nr. | UNINA-9910864186803321 |
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Müller Wolfgang H
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| Cham : , : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The state of deformation in earthlike self-gravitating objects / / by Wolfgang H. Müller, Wolf Weiss
| The state of deformation in earthlike self-gravitating objects / / by Wolfgang H. Müller, Wolf Weiss |
| Autore | Müller Wolfgang H |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 531 |
| Collana | SpringerBriefs in Continuum Mechanics |
| Soggetto topico |
Mechanics
Mechanics, Applied Planetology Solid Mechanics Classical Mechanics |
| ISBN | 3-319-32580-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The problem, its historical development and the shortcomings -- Analytical and numerical studies of the linear problem (small deformation theory) -- Numerical studies of the non-linear problem: shooting methods, finite differences, finite elements -- A radially symmetric composite shell model of the Earth. |
| Record Nr. | UNINA-9910254252803321 |
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Müller Wolfgang H
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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