Advances in solid and fracture mechanics : a liber amicorum to celebrate the birthday of Nikita Morozov / / edited by Holm Altenbach [and five others]

• Pubblicazione: Cham, Switzerland : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (302 pages)
• Disciplina: 910.5
• Soggetto topico: Fracture mechanics
• Persona (resp. second.): AltenbachHolm
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Contents -- List of Contributors -- Chapter 1 On Forced Vibrations of Orthotropic Plates in the Presence of Internal Friction -- 1.1 Introduction -- 1.2 The Formulation of the Problem and Basic Equations -- 1.3 The Solution to the External Problem -- 1.4 On Mathematically Precise Solutions -- 1.5 Conclusions -- References -- Chapter 2 Asymmetric Buckling of Orthortropic Plates Under Normal Pressure -- 2.1 Introduction -- 2.2 Problem Formulation -- 2.3 Equations for Buckling -- 2.4 Numerical Results -- 2.5 Conclusion -- References -- Chapter 3 On Ladyzhenskaya's Inequality and its Applications -- 3.1 Introduction -- 3.2 Preliminaries -- 3.2.1 Some Standard Inequalities -- 3.2.2 Functions of Compact Support -- 3.3 Ladyzhenskaya's Inequality in Two Dimensions -- 3.4 Ladyzhenskaya's Inequalities in Three Dimensions -- 3.4.1 First Result -- 3.4.2 Second Result -- 3.5 Further Possible Applications -- 3.6 Conclusions -- References -- Chapter 4 Mechanical Behaviour of Nonwovens: Continuous Approach with Parametric Finite-element Modelling -- 4.1 Introduction -- 4.2 Background -- 4.3 Parametric Finite-element Modelling Strategy -- 4.4 Multiscale Experimental Characterisation -- 4.4.1 Calendered Fabrics -- 4.4.2 Experimental Methods -- 4.5 Generation of Calendered-fabric Model -- 4.5.1 Computation of Local Mechanical Properties -- 4.5.2 Meshing -- 4.5.3 Failure Criterion -- 4.6 Results and Discussion -- 4.6.1 Developed Models and Validation -- 4.6.2 Effect of Load Direction -- 4.6.3 Effect of Fabric Size -- 4.6.4 Effect of Bond Pattern -- 4.7 Conclusions -- References -- Chapter 5 Free Vibrations of a Cylindrical Shell Closed with the Cap -- 5.1 Introduction -- 5.2 Numerical Results -- 5.3 Basic Equations -- 5.4 Asymptotic Solution for the Plate-like Vibrations -- 5.5 Asymptotic Solution for the Shell-like Vibrations. ; 5.6 Vibrations of the Third (Beam-like) Type -- 5.7 Spectrum Optimization by Thickness Variation -- 5.8 Conclusions -- References -- Chapter 6 Indentation of an Absolutely Rigid Thin Inclusion into One of the Crack Faces in an Elastic Plane Under Slippage at the Ends -- 6.1 Introduction -- 6.2 Statement of the Problem and Derivation of the Governing System of Integral Equation -- 6.3 Numerical Analysis -- 6.4 Conclusion -- References -- Chapter 7 Biomechanics as a Basis for Clinical Decision Support Systems in the Surgery of the Spine-pelvic Complex -- 7.1 Introduction -- 7.2 Noninvasive Method of Obtaining Bone Tissues Mechanical Properties by Computer Tomography -- 7.2.1 Results of Experiments on Scanning Samples of the Femoral Heads Spongy Bone in a Computer Tomograph -- 7.2.2 Results of Uniaxial Compression Mechanical Experiments of Femoral Heads Spongy Bone Samples -- 7.3 Sagittal Balance and its Relation to Vertebral-pelvic Complex Biomechanics -- 7.4 Quantitative Criteria for Assessing the Success of Surgical Treatment -- 7.5 Geometric Criteria for Evaluating the Success of Spinal Surgery -- 7.6 Geometric Criteria for Assessing the Success of Hip Replacement -- 7.7 Biomechanical Criteria for Evaluating the Success of Treatment: Assessment of Mechanical Strength, Fixation Stability, Implant Life -- 7.8 Results of the Pilot Implementation of Biomechanical Modeling in the Process of Preoperative Planning -- 7.8.1 Development of the Accord Software Platform -- 7.8.2 Substantiation of the Effectiveness of Biomechanical Modeling in Preoperative Planning -- 7.8.3 The Concept of Clinical Decision Support Systems with Biomechanical Support -- 7.9 Conclusion -- References -- Chapter 8 Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer -- 8.1 Introduction -- 8.2 Basic Equations -- 8.3 Dispersion Relations -- 8.4 Asymptotic Expansions. ; 8.5 Concluding Remarks -- References -- Chapter 9 Mathematical Models of Local Ice Strength and Problems Elastic-plastic Bending of Hydraulic Structures Supports -- 9.1 Introduction -- 9.2 Complex System "Borehole Jack" -- 9.3 Methodology for Determination of the Local Ice Strength at Compression in Boreholes by a Borehole Jack -- 9.4 Anisotropy of Ice -- 9.5 Estimation of Ice Pressure on the Vertical Supports of Hydraulic Structures, Taking into Account the Local Ice Strength -- 9.6 Conclusions -- References -- Chapter 10 Stress Distribution at the Wavy Surface of a Solid Incorporating Surface Stresses and Surface Tension -- 10.1 Introduction -- 10.2 Problem Formulation -- 10.3 Boundary Equation for Complex Potentials -- 10.4 Boundary Perturbation Method -- 10.5 Numerical Results -- 10.6 Conclusions -- References -- Chapter 11 Analytical and Numerical Methods for Analysis of Stress Singularity in Three-Dimensional Problems of Elasticity Theory -- 11.1 Introduction -- 11.2 Analysis of Stress Singularity Based on the Constructed Analytical Eigensolutions for Semi-infinite Circular Conical Bodies -- 11.3 Numerical-analytical Method of Stress Singularity Analysis at the Vertices of Circular and Non-circular Conical Bodies -- 11.4 Finite Element Analysis of Stress Singularity in Three-dimensional Problems of Elasticity Theory -- 11.5 Conclusion -- References -- Chapter 12 On Estimating Prestress State in an Elastic Cylinder -- 12.1 Intro -- 12.2 Linearized Deformation Model for a Prestressed Body -- 12.3 Weak Problem Statement for Prestressed Cylinder -- 12.4 Sensitivity Analysis -- 12.5 Comparison of Analytical and FE Prestress Fields -- 12.5.1 Initial Inflation -- 12.5.2 Initial Axial Tension -- 12.5.3 Initial Torsion -- 12.6 Inverse Problem of Prestress Identification -- 12.6.1 Problem Statement -- 12.6.2 Problem Solution. ; 12.6.3 Computational Experiments -- 12.7 Conclusion -- References -- Chapter 13 A Method of the JR-curve Determination Using Linear Normalization -- 13.1 Introduction -- 13.2 Statement of the Problem -- 13.3 Obtaining the Solution -- 13.4 Examples of Application of the Method and Analysis of Results -- 13.5 Conclusion -- References -- Chapter 14 Application of Galerkin's Method to Buckling of Functionally Graded or Stepped Columns -- 14.1 Introduction -- 14.2 The Clamped-Free Column -- 14.3 Buckling of a Heavy Simply Supported-Sliding Column -- 14.4 Buckling of a Stepped Column Under Axial Load -- 14.4.1 Galerkin Solution: First Version -- 14.4.2 Galerkin Solution: Second Version -- 14.5 Buckling of a Heavy Stepped Column -- 14.5.1 Exact Solution -- 14.5.2 Galerkin Solution -- 14.6 Conclusion -- References -- Chapter 15 Inter-laminar Delamination in Composite Laminates: Role of Buckling in its Growth -- 15.1 Introduction -- 15.2 Mathematical Preliminaries -- 15.3 Numerical Results -- 15.4 Conclusions -- References -- Chapter 16 Suppression of Oscillations of a Loaded Flexible Robotic "Arm" as a Generalized Chebyshev Problem -- 16.1 Statement of the Problem and Motion Equations of the Mechanical System -- 16.2 Application of the Pontryagin Maximum Principle. Relation to the Nonholonomic Problem -- 16.3 Application of the Generalized Gauss Principle for Solving the Above Generalized Chebyshev Problem -- 16.4 Statement and Solution of the Extended (Generalized) Boundary-value Problem -- 16.5 Calculation Results -- 16.6 Conclusions -- References -- Chapter 17 Theory of Cosserat-type Elastic Shells with Distributed Dislocations and Disclinations -- 17.1 Introduction -- 17.2 Initial Relations of the Geometrically Linear Theory of the Cosserat-type Shells -- 17.3 Continuously Distributed Dislocations and Disclinations in an Elastic Shell. ; 17.4 Boundary-value Problem of Equilibrium of a Shell with Distributed Dislocations and Disclinations -- 17.5 Variational Formulation of the Equilibrium Problem for an Elastic Shell with Distributed Dislocations and Disclinations -- 17.6 Static-geometry Analogy -- 17.7 Spherical Shell with Uniformly Distributed Dislocations and Disclinations -- 17.8 Conclusion -- References.
• Titolo autorizzato: Advances in solid and fracture mechanics
• ISBN: 3-031-18393-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996499863503316
• Lo trovi qui: Univ. di Salerno
• Serie: Advanced Structured Materials Ser.