Applied Solid Mechanics

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

Emphasises the power of mathematics to provide quantitative insights across the whole area of solid mechanics; accessible and comprehensive.

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.

Frontiers in Applied Mechanics is a compilation of cutting-edge research in applied mechanics by 65 of the world's leading researchers and academics. It comprises current new research directions and topics in the field, as well as developments in the classical branches of applied mechanics; namely solid mechanics, fluid mechanics, thermodynamics, and materials science. Frontiers in Applied Mechanics also includes contributions from new emerging areas such as nanomechanics, biomechanics, electromechanics, the mechanical behavior of advanced materials, mechanics of soft materials, and many other inter-disciplinary research areas in which the concepts of applied mechanics are extensively applied and developed. The mathematical modeling and methodology for applied mechanics are also included, with applications to many interesting mechanics aspects. All articles were carefully selected following a thorough review process by peers.The aim of this collection is to contribute to knowledge in all aspects of applied mechanics; to improve the reader's understanding of the topics and aid their corresponding advances in the field. Readers may also use the contents as a guide for future research directions.

Hardbound. Solid mechanics is a basic scientific discipline which provides the theoretical foundation, experimental support, solution methodology and computational tools for analysis, design, construction, manufacture, and behavior prediction in service of many devices, machines, materials, structures and large complex systems that are essential to the existence and progress of an advanced civilization. It is concerned with both manmade, natural and living solid objects, and with all aspects of their physical behavior that affect their function, integrity or service life expectancy.The contents of this volume offer examples of some of the activities that are currently at the forefront of solid mechanics research, and also illustrate the vast reach of the discipline and of its interactions with other science and engineering endeavors.

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Introduction to the Mechanics of Deformable Solids: Bars and Beams introduces the theory of beams and bars, including axial, torsion, and bending loading and analysis of bars that are subjected to combined loadings, including resulting complex stress states using Mohr’s circle. The book provides failure analysis based on maximum stress criteria and introduces design using models developed in the text. Throughout the book, the author emphasizes fundamentals, including consistent mathematical notation. The author also presents the fundamentals of the mechanics of solids in such a way that the beginning student is able to progress directly to a follow-up course that utilizes two- and three-dimensional finite element codes imbedded within modern software packages for structural design purposes. As such, excessive details included in the previous generation of textbooks on the subject are obviated due to their obsolescence with the availability of today’s finite element software packages.

Applied Mechanics of Polymers: Properties, Processing, and Behavior provides readers with an overview of the properties, mechanical behaviors and modeling techniques for accurately predicting the behaviors of polymeric materials. The book starts with an introduction to polymers, covering their history, chemistry, physics, and various types and applications. In addition, it covers the general properties of polymers and the common processing and manufacturing processes involved with them. Subsequent chapters delve into specific mechanical behaviors of polymers such as linear elasticity, hyperelasticity, creep, viscoelasticity, failure, and fracture. The book concludes with chapters discussing electroactive polymers, hydrogels, and the mechanical characterization of polymers. This is a useful reference text that will benefit graduate students, postdocs, researchers, and engineers in the mechanics of materials, polymer science, mechanical engineering and material science. Additional resources related to the book can be found at polymersmechanics.com. Provides examples of real-world applications that demonstrate the use of models in designing polymer-based components Includes access to a companion site from where readers can download FEA and MATLAB code, FEA simulation files, videos and other supplemental material Features end-of-chapter summaries with design and analysis guidelines, practice problem sets based on real-life situations, and both analytical and computational examples to bridge academic and industrial applications