The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.

Laminated Composite Plates and Shells presents a systematic and comprehensive coverage of the three-dimensional modelling of these structures. It uses the state space approach to provide novel tools for accurate three-dimensional analyses of thin and thick structural components composed of laminated composite materials. In contrast to the traditional treatment of laminated materials, the state space method guarantees a continuous interfacial stress field across material boundaries. Other unique features of the analysis include the non-dependency of a problem's degrees of freedom on the number of material layers of a laminate. Apart from the introductions to composite materials, three-dimensional elasticity and the concept of state space equations presented in the first three chapters, the book reviews available analytical and numerical three-dimensional state space solutions for bending, vibration and buckling of laminated composite plates and shells of various shapes. The applications of the state space method also include the analyses of piezoelectric laminates and interfacial stresses near free edges. The book presents numerous tables and graphics that show accurate three-dimensional solutions of laminated structural components. Many of the numerical results presented in the book are important in their own right and also as test problems for validating new numerical methods. Laminated Composite Plates and Shells will be of benefit to all materials and structural engineers looking to understand the detailed behaviour of these important materials. It will also interest academic scientists researching that behaviour and engineers from more specialised fields such as aerospace which are becoming increasingly dependent on composites.

The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.

Composite Laminated: Theories and Their Applications presents the latest methods for analyzing composite laminates and their applications. The title introduces the most important analytical methods in use today, focusing on fracture, damage, multi-physics and sensitivity analysis. Alongside these methods, it presents original research carried out over two decades on laminated composite structures and gives detailed coverage of laminate theories, analytic solutions and finite element models. Specific chapters cover An introduction to composites, Elasticity, Shear, State space theory, Layerwise theories, The extended layerwise method, Fracture and damage mechanics, Multi-physical fracture problems, Analytical methods of stiffened sandwich structures, Progressive failure analysis, and more. This volume offers a comprehensive guide to the state-of-the-art in the analysis and applications of composite laminates, which play a critical role in all types of engineering, from aerospace to subsea structures, including in medical prosthetics, circuit boards and sports equipment. - Presents a guide to the analysis and application of advanced composite materials - Gives detailed exposition of plate/shell theories and their implementation in finite element code architecture - Considers the robustness, effectiveness and applications aspects of laminated plate/shell methods - Gives hands-on experience of code architecture, providing composite analysis software which can be plugged in to commercial applications - Presents experimental research alongside methods, laminate theories, analytic solutions, and finite element models

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.

Smart structures that contain embedded piezoelectric patches are loaded by both mechanical and electrical fields. Traditional plate and shell theories were developed to analyze structures subject to mechanical loads. However, these often fail when tasked with the evaluation of both electrical and mechanical fields and loads. In recent years more advanced models have been developed that overcome these limitations. Plates and Shells for Smart Structures offers a complete guide and reference to smart structures under both mechanical and electrical loads, starting with the basic principles and working right up to the most advanced models. It provides an overview of classical plate and shell theories for piezoelectric elasticity and demonstrates their limitations in static and dynamic analysis with a number of example problems. This book also provides both analytical and finite element solutions, thus enabling the reader to compare strong and weak solutions to the problems. Key features: compares a large variety of classical and modern approaches to plates and shells, such as Kirchhoff-Love , Reissner-Mindlin assumptions and higher order, layer-wise and mixed theories introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables considers both static and dynamic analysis accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given as well as solve problems of their own The models currently used have a wide range of applications in civil, automotive, marine and aerospace engineering. Researchers of smart structures, and structural analysts in industry, will find all they need to know in this concise reference. Graduate and postgraduate students of mechanical, civil and aerospace engineering can also use this book in their studies. www.mul2.com

This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

This book presents a theoretical approach that allows the analysis of structures with magnetorheological and electrorheological layers, and shows, with the help of examples, how the mechanical behaviour of thin-walled laminated structures can be influenced. It consists of six chapters: Chapter 1 presents a brief overview of derivation approaches for theories of thin-walled structures, modelling of composites and modelling of laminated and sandwich structures. Chapter 2 describes the equivalent single layer model for thin laminated cylindrical shells, including the special cases of plates and beams. In addition to the classical mechanical properties, it also considers the electrorheological and magnetorheological properties. Chapter 3 presents the elastic buckling of laminated beams, plates, and cylindrical shells, discussing various problems, such as the influence of the boundary conditions, external loading and magnetic fields. It also suggests different approximations for asymptotic methods. Chapter 4 focuses on the free vibrations of elastic laminated beams, plates and cylindrical shells, investigating the influence of the boundary conditions and other factors. Chapter 5 presents the latest results concerning vibration of laminated structures composed of smart materials and discusses in detail the influence of electric and magnetic fields on smart structures. These results provide insights into the optimal design of these structures. Lastly, Chapter 6 features a short appendix presenting asymptotic estimates and series.

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.