Advanced Mechanics of Composite Materials and Structural Elements - 3rd Edition - ISBN: 9780080982311, 9780080982670

Advanced Mechanics of Composite Materials and Structural Elements

3rd Edition

Authors: Valery Vasiliev Evgeny Morozov
eBook ISBN: 9780080982670
Hardcover ISBN: 9780080982311
Imprint: Elsevier
Published Date: 4th July 2013
Page Count: 832
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Advanced Mechanics of Composite Materials and Structural Elements analyzes contemporary theoretical models at the micro- and macro levels of material structure. Its coverage of practical methods and approaches, experimental results, and optimization of composite material properties and structural component performance can be put to practical use by researchers and engineers.

The third edition of the book consists of twelve chapters progressively covering all structural levels of composite materials from their constituents through elementary plies and layers to laminates and laminated composite structural elements. All-new coverage of beams, plates and shells adds significant currency to researchers.

Composite materials have been the basis of many significant breakthroughs in industrial applications, particularly in aerospace structures, over the past forty years. Their high strength-to-weight and stiffness-to-weight ratios are the main material characteristics that attract the attention of the structural and design engineers. Advanced Mechanics of Composite Materials and Structural Elements helps ensure that researchers and engineers can continue to innovate in this vital field.

Key Features

  • Detailed physical and mathematical coverage of complex mechanics and analysis required in actual applications – not just standard homogeneous isotropic materials
  • Environmental and manufacturing discussions enable practical implementation within manufacturing technology, experimental results, and design specifications.
  • Discusses material behavior impacts in-depth such as nonlinear elasticity, plasticity, creep, structural nonlinearity enabling research and application of the special problems of material micro- and macro-mechanics


Graduate researchers and above studying composite mechanics. Practicing engineers in industry, including members of ASME, AIAA and SAE; aerospace and automotive engineers designing and analyze composite materials.

Table of Contents

Preface to the Third Edition

Chapter 1. Introduction

1.1 Structural materials

1.2 Composite materials

1.3 References

Chapter 2. Fundamentals of mechanics of solids

2.1 Stresses

2.2 Equilibrium Equations

2.3 Stress Transformation

2.4 Principal Stresses

2.5 Displacements and Strains

2.6 Transformation of Small Strains

2.7 Compatibility Equations

2.8 Admissible Static and Kinematic Fields

2.9 Constitutive Equations for an Elastic Solid

2.10 Formulations of the Problem

2.11 Variational Principles

2.12. Reference

Chapter 3. Mechanics of a unidirectional ply

3.1 Ply architecture

3.2 Fiber-matrix interaction

3.3 Micromechanics of a ply

3.4 Mechanical properties of a ply under tension, shear, and compression

3.5 Hybrid composites

3.6 Composites with high fiber fraction

3.7 Phenomenological homogeneous model of a ply

3.8 References

Chapter 4. Mechanics of a composite layer

4.1 Isotropic layer

4.2 Unidirectional orthotropic layer

4.3 Unidirectional anisotropic layer

4.4 Orthogonally reinforced orthotropic layer

4.5 Angle-ply orthotropic layer

4.6 Layer made by angle-ply circumferential winding

4.7 Fabric layers

4.8 Lattice layer

4.9 Spatially reinforced layers and bulk materials

4.10 References

Chapter 5. Mechanics of laminates

5.1 Stiffness coefficients of a nonhomogeneous anisotropic layer

5.2 Stiffness coefficients of a homogeneous layer

5.3 Stiffness coefficients of a laminate

5.4 Symmetric laminates

5.5 Engineering stiffness coefficients of orthotropic laminates

5.6 Quasi-homogeneous laminates

5.7 Quasi-isotropic laminates in the plane stress state

5.8 Antisymmetric laminates

5.9 Sandwich structures

5.10 Coordinate of the reference plane

5.11 Stresses in laminates

5.12 References

Chapter 6. Failure criteria and strength of laminates

6.1 Failure criteria for an elementary composite layer or ply

6.2 Practical recommendations

6.3 Examples

6.4 Allowable stresses for laminates consisting of unidirectional plies

6.5 Progressive failure: modeling and analysis

6.6 References

Chapter 7. Environmental, special loading, and manufacturing effects

7.1 Temperature effects

7.2 Hygrothermal effects and aging

7.3 Time-dependent loading effects

7.4 Manufacturing effects

7.5 References

Chapter 8. Laminated composite beams and columns

8.1 Basic Equations

8.2 Stiffness Coefficients

8.3 Bending of Laminated Beams

8.4 Nonlinear Bending

8.5 Buckling of Composite Columns

8.6 Free Vibrations of Composite Beams

8.7 Refined Theories of Beams and Plates

8.8 References

Chapter 9. Laminated composite plates

9.1 Equations of the Theory of Anisotropic Laminated Plates

9.2 Equations for the Orthotropic Plates with Symmetric Structure

9.3 Analysis of the Equations of Plate Theory for Transversely Isotropic Plates

9.4 Bending of Orthotropic Symmetric Plates

9.5 Buckling of Orthotropic Symmetric Plates

9.6 Postbuckling Behavior of Orthotropic Symmetric Plates Under Axial Compression

9.7 Generally Laminated Plates

9.8 References

Chapter 10. Thin-walled composite beams

10.1 Geometry of the Beam Cross Section

10.2 The Equations of Membrane Shell Theory

10.3 Assumptions of Composite Beam Theory

10.4 Free Bending and Torsion of Thin-walled Beams with a Closed Cross-sectional Contour

10.5 Beams with Multi-cell Cross-sectional Contours

10.6 Beams with open Cross-sectional Contours

10.7 References

Chapter 11. Circular cylindrical shells

11.1 Governing Equations and Applied Shell Theories

11.2 Cylindrical Shells whose Stress-Strain State does not Depend on the Axial Coordinate

11.3 Axisymmetric Deformation of Cylindrical Shells

11.4 General Loading Case

11.5 Buckling of Cylindrical Shells Under Axial Compression

11.6 Buckling of Cylindrical Shells Under External Pressure

11.7 References

Chapter 12. Optimal composite structures

12.1 Optimal fibrous structures

12.2 Composite laminates of uniform strength

12.3 Optimal design of laminates

12.4 Application to optimal composite structures

12.5 References

Author Index

Subject Index


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About the Author

Valery Vasiliev

Professor Valery V. Vasiliev

Professor, Moscow State University of Aviation Technology

V.V. Vasiliev became a Titled Professor in 1973, and was elected as a corresponding member of the USSR (now Russian) Academy of Sciences in 1984. He worked as an engineer of the Central Aero-Hydrodynamic Institute (61-62), senior researcher and associate professor of Moscow Aviation Institute (63-72), professor of Moscow Institute of Civil Aviation Engineering (72-73) and, since 1974, has been the Head of the Department of Mechanics and Optimisation of Processes and Structures of the Moscow State University of Aviation Technology. Since 1971, he has been the General Scientific Consultant of Central Research Institute of Special Machinery. In 1984 and 2001 he was awarded with the USSR State Prize and RF Government Prize for application of composite materials in aerospace structures. Professor Vasiliev is an author or co-author of 16 monographs, textbooks, handbooks, and design guides in mechanics of thin-walled and composite structures.

Affiliations and Expertise

Department of Mechanics and Optimization of Processes and Structures, Russian State University of Technology, Moscow, Russia

Evgeny Morozov

Professor Evgeny V. Morozov

Professor, University of New South Wales

Professor Morozov has more than 35 years practical and research experience in the field of composite technology. He co-authored four books and published more than 200 papers on mechanics and analysis of composite materials and structures.

He became a Full Professor of Aerospace Composite Structures, Moscow State University of Aviation Technology in 1991. In 1995, he joined the School of Mechanical Engineering, University of Natal, South Africa as the Professor of Manufacturing Systems. In 2007, he joined University of New South Wales (UNSW), Canberra, Australia as the Professor of Mechanical and Aerospace Engineering.

His achievements are recognized internationally, he has been a co-organizer and co-chairman of a number of international conferences, a member of Scientific International Conference Committees and Advisory Boards, paper reviewer, session chairman, and invited paper presenter at numerous international conferences on mechanics and modelling of composite materials and structures.

He is a Member of the Editorial Boards of Composite Structures (International Journal), Elsevier; the International Journal of Engineered Fibers and Fabrics (JEFF), INDA, TAPPI, The Fiber Society; Member of the Editorial Advisory Board of the International Journal “Curved and Layered Structures”, De Gruyter; Editorial Board Member for the Elsevier Journal “Heliyon”

Professor Morozov is Co-founder and Chair of the Advanced Composite Research Unit (ACRU) of the School of Engineering and Information Technology, UNSW Canberra, Australia established in July 2008.

Affiliations and Expertise

School of Mechanical Engineering, University of Natal, Durban, South Africa


"This graduate textbook introduces the traditional approaches to engineering the mechanics of structures made from the new composite materials that are very high in strength and stiffness in proportion to their weight… Previously published as Advanced Mechanics of Composite Materialsin 2007, the third edition adds four chapters on composite beams, plates, and cylindrical shells.", February 2014
"The third edition of the book consists of twelve chapters progressively covering all structural levels of composite materials from their constituents through elementary plies and layers to laminates and laminated composite structural elements. All-new coverage of beams, plates and shells adds significant currency to researchers.", December 16, 2013