Advanced Mechanics Of Solids

Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.

ADVANCED MECHANICS OF SOLIDS: A Gentle Introduction is meant for the students who seem to have much difficulty with this subject. It tries to present the crucial concepts gently and painlessly in the early chapters, but without sacrificing rigour. Copious footnotes and a large chapter of more than sixty illustrative examples are a feature of the book. These illustrative examples do not include all numerical problems.

This textbook is for advanced students who already are familiar with the elementary concepts of statics and the strength of materials. The principles of linear continuum mechanics and linear elastic material behavior are presented. They build the foundation for the later treatment of structures such as beams, bars, plates and shells. Particular attention is paid to the respective thin-walled cases. The text also contains some chapters on the more and more important topic of dynamics of structures. Moreover, it provides the fundamental principles underlying modern computer methods. The book is structured such that in each chapter the theoretical considerations are accompanied by several illustrative examples demonstrating the application of these results. At the end of each chapter, additional problems are included. The solutions to these problems are given in the last chapter.

The main aim of this book is to demonstrate the fundamental theory of advanced solid mechanics through simplified derivations with details illustrations to deliver the principal concepts. It covers all conceptual principals on two- and three-dimensional stresses, strains, stress-strain relations, theory of elasticity and theory of plasticity in any type of solid materials including anisotropic, orthotropic, homogenous and isotropic. Detailed explanation and clear diagrams and drawings are accompanied with the use of proper jargons and notations to present the ideas and appropriate guide the readers to explore the core of the advanced solid mechanics backed by case studies and examples. Aimed at undergraduate, senior undergraduate students in advanced solid mechanics, solid mechanics, strength of materials, civil/mechanical engineering, this book Provides simplified explanation and detailed derivation of correlation and formula implemented in advanced solid mechanics Covers state of two and three-dimensional stresses and strains in solid materials in various conditions Describes principal constitutive models for various type of materials include of anisotropic, orthotropic, homogenous and isotropic materials. Includes stress-strain relation and theory of elasticity for solid materials. Explores inelastic behaviour of material, theory of plasticity and yielding criteria.

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

- Covers the basic core subjects of mechanics of solids and structures - Basic theoretical concepts involving advanced mathematical equations emphasized in a lucid manner - Logical presentation of the topics fortified with numerous practical examples - Excellent illustrations for easy comprehension of difficult topics - Latest developments in theoretical concepts included in each chapter

Experimental solid mechanics is the study of materials to determine their physical properties. This study might include performing a stress analysis or measuring the extent of displacement, shape, strain and stress which a material suffers under controlled conditions. In the last few years there have been remarkable developments in experimental techniques that measure shape, displacement and strains and these sorts of experiments are increasingly conducted using computational techniques. Experimental Mechanics of Solids is a comprehensive introduction to the topics, technologies and methods of experimental mechanics of solids. It begins by establishing the fundamentals of continuum mechanics, explaining key areas such as the equations used, stresses and strains, and two and three dimensional problems. Having laid down the foundations of the topic, the book then moves on to look at specific techniques and technologies with emphasis on the most recent developments such as optics and image processing. Most of the current computational methods, as well as practical ones, are included to ensure that the book provides information essential to the reader in practical or research applications. Key features: Presents widely used and accepted methodologies that are based on research and development work of the lead author Systematically works through the topics and theories of experimental mechanics including detailed treatments of the Moire, Speckle and holographic optical methods Includes illustrations and diagrams to illuminate the topic clearly for the reader Provides a comprehensive introduction to the topic, and also acts as a quick reference guide This comprehensive book forms an invaluable resource for graduate students and is also a point of reference for researchers and practitioners in structural and materials engineering.

Composite materials have been representing most significant breakthroughs in various industrial applications, particularly in aerospace structures, during the past thirty five years. The primary goal of Advanced Mechanics of Composite Materials is the combined presentation of advanced mechanics, manufacturing technology, and analysis of composite materials. This approach lets the engineer take into account the essential mechanical properties of the material itself and special features of practical implementation, including manufacturing technology, experimental results, and design characteristics. Giving complete coverage of the topic: from basics and fundamentals to the advanced analysis including practical design and engineering applications. At the same time including a detailed and comprehensive coverage of the contemporary theoretical models at the micro- and macro- levels of material structure, practical methods and approaches, experimental results, and optimisation of composite material properties and component performance. The authors present the results of more than 30 year practical experience in the field of design and analysis of composite materials and structures. * Eight chapters progressively covering all structural levels of composite materials from their components through elementary plies and layers to laminates * Detailed presentation of advanced mechanics of composite materials * Emphasis on nonlinear material models (elasticity, plasticity, creep) and structural nonlinearity

FOR KTU AND ALL LEADING UNIVERSITIES ALSO FOR PRACTICING ENGINEERS

An introduction to the fundamental concepts of solid materials and their properties The primary recommended text of the Council of Engineering Institutions for university undergraduates studying the mechanics of solids New chapters covering revisionary mathematics, geometrical properties of symmetrical sections, bending stresses in beams, composites and the finite element method Free electronic resources and web downloads support the material contained within this book Mechanics of Solids provides an introduction to the behaviour of solid materials and their properties, focusing upon the fundamental concepts and principles of statics and stress analysis. Essential reading for first year undergraduates, the mathematics in this book has been kept as straightforward as possible and worked examples are used to reinforce key concepts. Practical stress and strain scenarios are also covered including stress and torsion, elastic failure, buckling, bending, as well as examples of solids such as thin-walled structures, beams, struts and composites. This new edition includes new chapters on revisionary mathematics, geometrical properties of symmetrical sections, bending stresses in beams, composites, the finite element method, and Ross’s computer programs for smartphones, tablets and computers.

A concise yet comprehensive treatment of the fundamentals of solid mechanics, including solved examples, exercises, and homework problems.

A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics. Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems. Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.

Very few polymer mechanics problems are solved with only pen and paper today, and virtually all academic research and industrial work relies heavily on finite element simulations and specialized computer software. Introducing and demonstrating the utility of computational tools and simulations, Mechanics of Solid Polymers provides a modern view of how solid polymers behave, how they can be experimentally characterized, and how to predict their behavior in different load environments. Reflecting the significant progress made in the understanding of polymer behaviour over the last two decades, this book will discuss recent developments and compare them to classical theories. The book shows how best to make use of commercially available finite element software to solve polymer mechanics problems, introducing readers to the current state of the art in predicting failure using a combination of experiment and computational techniques. Case studies and example Matlab code are also included. As industry and academia are increasingly reliant on advanced computational mechanics software to implement sophisticated constitutive models – and authoritative information is hard to find in one place - this book provides engineers with what they need to know to make best use of the technology available. Helps professionals deploy the latest experimental polymer testing methods to assess suitability for applications Discusses material models for different polymer types Shows how to best make use of available finite element software to model polymer behaviour, and includes case studies and example code to help engineers and researchers apply it to their work

Three subjects of major interest in one textbook: linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. After the simplest possible, intuitive approach there follows the mathematical formulation and analysis, with computational methods occupying a good portion of the book. There are several worked-out problems in each chapter and additional exercises at the end of the book, plus mathematical expressions are bery often given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering, although students and experts from applied mathematics, materials science and other related fields will also find it useful.