Advances in solid and fracture mechanics : a liber amicorum to celebrate the birthday of Nikita Morozov / Holm Altenbach, Svetlana M. Bauer, Alexander K. Belyaev, Dmitri A. Indeitsev, Valery P. Matveenko, Yuri V. Petrov, editors.

Format:

Book

Contributor:

Altenbach, Holm, 1956- editor.

Bauer, Svetlana M., editor.

Belyaev, Alexander, editor.

Indeĭt︠s︡ev, D. A., editor.

Matveenko, V. P., editor.

Petrov, Y. (Yuri), 1958- editor.

Morozov, N. F. (Nikita Fedorovich), 1932- honouree.

Series:

Advanced structured materials ; 180.

Advanced structured materials ; volume 180

Language:

English

Subjects (All):

Fracture mechanics.

Solids.

Genre:

Festschriften.

Electronic books.

Physical Description:

1 online resource (xxiii, 278 pages) : illustrations (some color).

Place of Publication:

Cham : Springer, [2022]

Summary:

This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozova well-known specialist in the field of solid and fracture mechanics.

Contents:

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

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

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

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

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

Notes:

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed November 17, 2022).

ISBN:

9783031183935

3031183932

OCLC:

1350615478

Access Restriction:

Restricted for use by site license.