Postbuckling Behavior Of Plates And Shells

by Hui-shen Shen

Overview

As an expert in structure and stress analysis, the author has written extensively on functionally graded materials (FGMs), nonlinear vibration and dynamic response of functionally graded material plates in thermal environments, buckling and postbuckling analysis of single-walled carbon nanotubes in thermal environments. This book provides a comprehensive overview of the author's works which include significant contributions to the postbuckling behavior of plates and shells under different loading and environmental conditions.This book comprises eight chapters. Each chapter contains adequate introductory material so that an engineering graduate who is familiar with basic understanding of plates and shells will be able to follow it.

Product Details

ISBN-13:	9789813146990
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	03/08/2017
Pages:	696
Product dimensions:	6.00(w) x 9.10(h) x 1.70(d)

Table of Contents

About the Author v

Preface vii

Nomenclature xi

Chapter 1 Nonlinear Theory of Shear Deformable Laminated Plates 1

1.1 Introduction 1

1.2 Reddy's HSDPT 3

1.3 Generalized Kaccutea;rmaccutea;n-type Nonlinear Equations 9

1.4 Solution Methodology 20

1.5 Conditions for Laminated Plates to Remain Flat up to Bifurcation Point 23

References 27

Chapter 2 Postbuckling Behavior of Thin Plates 35

2.1 Introduction 35

2.2 Postbuckling of Rectangular Plates under Uniaxial Compression 39

2.3 Postbuckling of Rectangular Plates under Transverse Loads and Edge Compression 54

2.4 Postbuckling of Laminated Thin Plates under Edge Compression and Resting on Elastic Foundations 62

2.5 Thermal Postbuckling of Laminated Thin Plates under Non-uniform Temperature Rise and Resting on Elastic Foundations 78

2.6 Thermomechanical Postbuckling of Laminated Thin Plates Resting on Elastic Foundations 94

References 101

Chapter 3 Postbuckling Behavior of Shear Deformable Isotropic Plates 107

3.1 Introduction 107

3.2 Postbuckling of Moderately Thick Plates under Uniaxial Compression 108

3.3 Thermal Postbuckling of Moderately Thick Plates under Non-uniform Temperature Rise and Resting on Elastic Foundations 122

3.4 Thermomechanical Postbuckling of Moderately Thick Plates Resting on Elastic Foundations 135

3.5 Postbuckling of Pre-pressure-loaded Moderately Thick Plates under Edge Compression and Resting on Elastic Foundation 141

3.6 Thermal Postbuckling of Pre-pressure-loaded Moderately Thick Plates Resting on Elastic Foundations 154

References 163

Chapter 4 Postbuckling Behavior of Shear Deformable Laminated Plates 167

4.1 Introduction 167

4.2 Postbuckling of Shear Deformable Laminated Plates under Uniaxial Compression 173

4.3 Postbuckling of Shear Deformable Laminated Plates under Lateral Pressure and Edge Compression 193

4.4 Thermomechanical Postbuckling of Shear Deformable Laminated Plates 205

4.5 Thermal Postbuckling of Shear Deformable Laminated Plates under Non-uniform Temperature Rise 214

4.6 Thermal Postbuckling of Shear Deformable Laminated Plates with Temperature-dependent Properties 228

4.7 Hygrothermai Effects on the Postbuckling of Shear Deformable Laminated Plates 235

4.8 Postbuckling of Shear Deformable Laminated Plates with Piezoelectric Actuators under Complex Loading 245

4.9 Thermal Postbuckling of Shear Deformable Laminated Plates with Piezoelectric Actuators 254

References 261

Chapter 5 Boundary Layer Theory of Shell Buckling 269

5.1 Introduction 269

5.2 Donnell Nonlinear Equations 274

5.3 Boundary Layer Theory for the Buckling of Cylindrical Shells under Axial Compression 281

5.4 Boundary Layer Theory for the Buckling of Cylindrical Shells under External Pressure 302

5.5 Postbuckling of Cylindrical Shells under Combined External Pressure and Axial Compression 319

5.6 Postbuckling of Stiffened Cylindrical Shells 327

References 351

Chapter 6 Postbuckling Behavior of Laminated Cylindrical Thin Shells 359

6.1 Introduction 359

6.2 Boundary Layer Theory for Anisotropic Laminated Cylindrical Thin Shells under Axial Compression 362

6.3 Boundary Layer Theory for Anisotropic Laminated Cylindrical Thin Shells under External Pressure 387

6.4 Boundary Layer Theory for Anisotropic Laminated Cylindrical Thin Shells under Torsion 403

6.5 Boundary Layer Theory for Anisotropic Laminated Cylindrical Thin Shells Subjected to Uniform Temperature Rise 426

6.6 Postbuckling of Laminated Cylindrical Thin Shells under Combined Axial Compression and Torsion 438

6.7 Postbuckling of Laminated Cylindrical Thin Shells under Combined Axial Compression and External Liquid Pressure 444

6.8 Postbuckling of Laminated Cylindrical Thin Shells under Combined External Pressure and Heating 461

References 471

Chapter 7 Postbuckling Behavior of Shear Deformable Laminated Cylindrical Shells 477

7.1 Introduction 477

7.2 Reddy's Higher-order Shear Deformation Shell Theory and Generalized Karman-type Equations 480

7.3 Postbuckling of Shear Deformable Laminated Cylindrical Shells under Axial Compression 484

7.4 Postbuckling of Shear Deformable Laminated Cylindrical Shells under External Pressure 506

7.5 Postbuckling of Shear Deformable Laminated Cylindrical Shells under Torsion 517

7.6 Thermal Postbuckling of Shear Deformable Laminated Cylindrical Shells Subjected to Non-uniform Temperature Rise 538

7.7 Postbuckling of Shear Deformable Laminated Cylindrical Shells under Combined Axial Compression and Thermal Loading 554

7.8 Hygrothermai Effects on the Postbuckling of Shear Deformable Laminated Cylindrical Shells 569

7.9 Postbuckling of Shear Deformable Laminated Cylindrical Shells with Piezoelectric Actuators under Complex Loading 579

References 593

Chapter 8 Postbuckling Behavior of Shear Deformable Laminated Cylindrical Panels 599

8.1 Introduction 599

8.2 Postbuckling of Shear Deformable Laminated Cylindrical Panels under Axial Compression 603

8.3 Postbuckling of Shear' Deformable Laminated Cylindrical Panels under Lateral Pressure 621

8.4 Postbuckling of Pre-pressure-loaded Shear Deformable Laminated Cylindrical Panels under Axial Compression 634

8.5 Hygrothermai Effects on the Postbuckling of Axially-loaded Shear Deformable Laminated Cylindrical Panels 643

8.6 Thermal Postbuckling of Shear Deformable Laminated Cylindrical Panels Subjected to Uniform Temperature Rise 651

8.7 Thermal Postbuckling of Pre-pressure-loaded Shear Deformable Laminated Cylindrical Panels Subjected to Uniform Temperature Rise 661

References 666

Index 671