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Fracture of Materials Under Compression Along Cracks / / by Aleksander N. Guz, Viacheslav L. Bogdanov, Vladimir M. Nazarenko
| Fracture of Materials Under Compression Along Cracks / / by Aleksander N. Guz, Viacheslav L. Bogdanov, Vladimir M. Nazarenko |
| Autore | Guz Aleksander N |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVI, 490 p. 117 illus., 2 illus. in color.) |
| Disciplina | 620.1126 |
| Collana | Advanced Structured Materials |
| Soggetto topico |
Structural materials
Mechanics Mechanics, Applied Structural Materials Solid Mechanics |
| ISBN | 3-030-51814-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminary Consideration: Background, Approaches and their Analysis -- Main Principles of Fracture Mechanics of Materials loaded along Cracks -- Two-Dimensional Problems on Fracture of Bodies under Compression along Cracks -- Three-Dimensional Problems on Loading Bodies along Cracks -- Evaluating the Applicability Limits of the Beam Approximation in Analysis of the Problems on Compression of Bodies along Cracks. |
| Record Nr. | UNINA-9910412150603321 |
Guz Aleksander N
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Selected Problems of Solid Mechanics and Solving Methods
| Selected Problems of Solid Mechanics and Solving Methods |
| Autore | Altenbach Holm |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2024 |
| Descrizione fisica | 1 online resource (531 pages) |
| Altri autori (Persone) |
BogdanovViacheslav
GrigorenkoAlexander Ya KushnirRoman M NazarenkoVladimir M EremeyevVictor A |
| Collana | Advanced Structured Materials Series |
| ISBN | 3-031-54063-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Stages of Yaroslav M. Grigorenko's Life Path and the Main Results of His Scientific Research -- References -- 2 Finite Element Modeling of Partially Conductive Interfacial Crack in Piezoelectric Bimaterial -- 2.1 Introduction -- 2.2 Problem Formulation -- 2.3 Numerical Realization -- 2.4 Numerical Results -- 2.5 Conclusions -- References -- 3 Asymptotic Behavior of Forced Vibrations of Layered Plates -- 3.1 Introduction -- 3.2 Basic Equations and the Formulation of Problems -- 3.3 Conclusions -- References -- 4 Methods of Numerical Solution of Problems of Thermo-Plasticity Taking into Account the Stress Mode -- 4.1 Introduction -- 4.2 Formulation of the Problem of Thermo-Plasticity and Basic Relations -- 4.3 Solving the Problem of Thermo-Plasticity -- 4.4 Numerical Results -- 4.5 Conclusions -- References -- 5 Analysis of the Beam Approximation Applicability in Problems on Compression of Bodies Along Closely Spaced Cracks -- 5.1 Introduction -- 5.2 A Body with a Near-Surface Penny-Shaped Crack -- 5.3 A Body Containing Two Parallel Penny-Shaped Cracks -- 5.4 A Body Containing a Periodic Array of Parallel Penny-Shaped Cracks -- 5.5 Conclusions -- References -- 6 Analysis of Fracture of an Orthotropic Plate with a Crack Under Biaxial Loading -- 6.1 Introduction -- 6.2 The Crack Model and Problem Formulation -- 6.3 Basic Parameters of the Model -- 6.3.1 The Stress State of a Process Zone -- 6.3.2 Length of the Process Zone -- 6.3.3 Opening Displacement in the Crack Tip -- 6.3.4 upper JJ-Integral -- 6.4 Limit Equilibrium of a Cracked Orthotropic Plate -- 6.4.1 The delta Subscript cδc -Criterion -- 6.4.2 The upper J Subscript cJc-Criterion -- 6.5 Numerical Analysis -- 6.5.1 The von Mises-Hill Strength Criterion -- 6.5.2 The Gol'denblatt-Kopnov Strength Criterion -- 6.6 Macrocrack and Domain of Quasi-Brittle Fracture.
6.7 Experimental Verification -- 6.8 Conclusions -- References -- 7 Two-Parametric Analysis of a Semi-Infinite Three-Layered High-Contrast Elastic Strip Under Antiplane Shear Deformation -- 7.1 Introduction -- 7.2 Formulation of the Problem -- 7.3 Slowly Decaying Solution -- 7.4 Numerical Examples -- 7.5 One-Dimensional Boundary Value Problem -- 7.6 Concluding Remarks -- References -- 8 Optimization of Thermal Treatment Modes of Bodies Made of Functionally Graded Materials -- 8.1 Introduction -- 8.2 Statement of the Optimization Problem and Its Solution -- 8.3 Solving of Direct Problems -- 8.4 Heat Treatment Modes of Elastic Cylinder -- 8.5 Heat Treatment Modes of Viscoelastic Cylinder -- 8.6 Conclusions -- References -- 9 Numerical Analysis of Contact Between Elastic Bodies in the Presence of Thin Coating and Nonlinear Winkler Surface Layers -- 9.1 Introduction -- 9.2 Statement of the Problem -- 9.3 Weak Formulation and Domain Decomposition Algorithm -- 9.4 Numerical Results -- 9.5 Conclusions -- References -- 10 Weight Optimization of Non-homogeneous Rotation Shells by Methods of Optimal Processes Theory -- 10.1 Introduction -- 10.2 Necessary Conditions for Optimality -- 10.3 Mathematical Models of Rotation Shells with Wall Thickness Variation -- 10.4 Optimization of Variable Stiffness of Shells of Rotation -- 10.5 Conclusions -- References -- 11 On M-Integral in Linear Micropolar Elasticity with Symmetric Stress Tensor -- 11.1 Introduction -- 11.2 Governing Equations -- 11.3 Eshelby Tensor -- 11.4 M-integral -- 11.5 Conclusions -- References -- 12 Nonlinear Dynamic Analysis of the Progressive Collapse on Multi-core Computers -- 12.1 Introduction -- 12.2 Problem Formulation -- 12.2.1 Models of Materials -- 12.2.2 Flat Shell Finite Elements -- 12.2.3 Bar Finite Element -- 12.3 Numerical Realization -- 12.3.1 Calculation of Internal Forces Vector. 12.3.2 Assembling of Tangent Stiffness Matrix -- 12.3.3 Factoring of Tangent Stiffness Matrix and Forward-Back Substitutions -- 12.4 Numerical Results -- 12.4.1 Progressive Collapse Analysis Test -- 12.4.2 Progressive Collapse Analysis of Multistory Building -- 12.5 Conclusions -- References -- 13 Fatigue Endurance of Thin-Walled Cylindrical Shells Under Biaxial Combined Loading -- 13.1 Introduction -- 13.2 Statement of the Problem. Basic Relations -- 13.3 Basic Resolving Equations of the Fatigue Endurance Calculation Method -- 13.3.1 Equations Based on the Rankine Criterion -- 13.3.2 Equations Based on the Tresca Criterion -- 13.3.3 Equations Based on the von Mises Criterion -- 13.4 Fatigue Endurance of Thin-Walled Cylindrical Shells -- 13.4.1 Materials of Shells. Material Constants -- 13.4.2 Combined Loading by Cyclic Tension-Compression and Cyclic Torsion -- 13.4.3 Combined Loading by Cyclic Bending and Cyclic Torsion -- 13.5 Analysis of the Results -- 13.6 Conclusions -- References -- 14 Stress State of Corrugated Shells with Oblique Cuts -- 14.1 Introduction -- 14.2 Basic Relations -- 14.3 Resolving Equations -- 14.4 Numerical Results -- 14.5 Conclusions -- References -- 15 Numerical Analysis of Free Vibration Frequencies of Hexagonal Plate -- 15.1 Introduction -- 15.2 Basic Relations -- 15.3 Building a Finite Element Model -- 15.4 Solution of the Test Problem -- 15.5 Results of Numerical Calculations -- 15.6 Conclusions -- References -- 16 Selected Aspects of Thermomechanics of Ferrite Bodies Under Electromagnetic Actions -- 16.1 Introduction -- 16.2 State of the Problem -- 16.3 Research Results -- 16.4 Conclusions -- References -- 17 The Influence of the Temperature Dependence of Thermomechanical Characteristics of FGM on the Thermostressed State of a Hollow Sphere -- 17.1 Introduction -- 17.2 Problem Statement. 17.3 Solving the Heat Transfer Problem -- 17.4 Determination of Stressed State -- 17.5 Numerical Investigations -- 17.6 Conclusions -- References -- 18 Stress Concentration Around a Circular Hole in Thin Plates and Cylindrical Shells with a Radially Inhomogeneous Inclusion -- 18.1 Introduction -- 18.2 Statement of the Problem -- 18.3 Mathematical Model of the Problem -- 18.4 Numerical Analysis -- 18.4.1 The Plate -- 18.4.2 The Shell -- 18.5 Conclusions -- References -- 19 Solving Incorrect Problems of the Elasticity Theory -- 19.1 Introduction -- 19.2 Problem Formulation -- 19.3 The Correctness of the First Basic Problem of the Theory of Elasticity on the Subspace -- 19.4 Solving the First Basic Problem of the Elasticity Theory by the Finite Element Method -- 19.5 Solving Incorrect SLAE with Approximate Data of a Sparse Structure -- 19.5.1 Formulation of the Problem -- 19.5.2 Solving the Problem -- 19.5.3 Solving the Problem of Weighted Least Squares -- 19.6 Approbation of the Method of Numerical Solution -- 19.7 Conclusions -- References -- 20 Influence of Boundary Conditions and Dissipative Heating Onto Resonance Vibration of Shear Compliant Viscoelastic Cylindrical Shell with Piezoelectric Sensors -- 20.1 Introduction -- 20.2 Problem Statement. Main Equations -- 20.3 Solution Construction Technique -- 20.4 Numerical Results and Analysis -- 20.5 Conclusions -- References -- 21 Topology Optimization of Adhesively Bonded Double Lap Joint -- 21.1 Introduction -- 21.2 Mathematical Model of Joint Stress State -- 21.3 Formulation of a Problem of Doubler Shape Optimization in Adhesive Joint -- 21.4 Solution of a Direct Problems of Joint Stress State Estimation Using the Method of Finite Differences -- 21.5 Genetic Algorithm for Doubler Shape Optimization -- 21.6 Numerical Modeling -- 21.6.1 The First Analysis Case -- 21.6.2 The Second Analysis Case. 21.6.3 Mathematical Model Verification. Comparison of Analytical Results with Analysis by Finite Element Methods -- 21.7 Conclusions -- References -- 22 Research of Vibration Behavior of Porous FGM Panels by the Ritz Method -- 22.1 Introduction -- 22.2 FGM Shallow Shells with Porosities -- 22.3 Mathematical Formulation of the Problem -- 22.4 Solution Procedure -- 22.5 Validation of the Proposed Approach and Created Software -- 22.6 Numerical Results for the Porous Shallow Shells with a Complex Plan Form -- 22.7 Conclusion -- References -- 23 Longitudinal Shear of Bimaterials with Interphase Thin Physically Nonlinear Layered Functional-Gradient Inhomogeneities -- 23.1 Introduction -- 23.2 Formulation of the Problem -- 23.3 Materials and Methods -- 23.4 Numerical Results and Discussion -- 23.4.1 Longitudinal Shear of Bimaterial with Thin Interfacial Nonlinear Elastic or Transversely FGM Inclusion (Perfect Contact) -- 23.4.2 Longitudinal Shear of Bimaterial with Thin Interfacial Nonlinear Elastic or Transversely FGM Microinclusion (Effect of Surface Tension) -- 23.4.3 Longitudinal Shear of Bimaterial with Thin Interfacial Nonlinear Elastic or Transversely FGM Microinclusion (Effect of Frictional Slipping on the Strength of Ribbon-Reinforced Composite) -- 23.4.4 Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-Like Inclusion -- 23.5 Conclusions -- References -- 24 Dynamics of Three-Layer Spherical Shells with Heterogeneous Filler Under Nonstationary Loads -- 24.1 Introduction -- 24.2 Formulation of the Problem. Basic Equations -- 24.3 Numerical Results -- 24.4 Conclusions -- References -- 25 New Structural Approach for Determination of Effective Thermoelastic Modules of Discrete Composite Layers -- 25.1 Introduction -- 25.2 CLPT and Statistical Interpretation of Through-the-Thickness Strain Distributions. 25.3 Some Numerical Experiments. |
| Record Nr. | UNINA-9910865282903321 |
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Altenbach Holm
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| Cham : , : Springer International Publishing AG, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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