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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
Mechanics of Solids and Structures, Second Edition by Roger T. Fenner,J.N. Reddy Pdf
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.
Research Trends in Solid Mechanics by U.S. National Committee on Theoretical and Applied Mechanics Pdf
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.
Continuum Mechanics and Linear Elasticity by Ciprian D. Coman Pdf
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).
Advanced Mechanics of Materials and Applied Elasticity by Ansel C. Ugural,Saul K. Fenster Pdf
This systematic exploration of real-world stress analysis has been completely updated to reflect state-of-the-art methods and applications now used in aeronautical, civil, and mechanical engineering, and engineering mechanics. Distinguished by its exceptional visual interpretations of solutions, Advanced Mechanics of Materials and Applied Elasticity offers in-depth coverage for both students and engineers. The authors carefully balance comprehensive treatments of solid mechanics, elasticity, and computer-oriented numerical methods—preparing readers for both advanced study and professional practice in design and analysis. This major revision contains many new, fully reworked, illustrative examples and an updated problem set—including many problems taken directly from modern practice. It offers extensive content improvements throughout, beginning with an all-new introductory chapter on the fundamentals of materials mechanics and elasticity. Readers will find new and updated coverage of plastic behavior, three-dimensional Mohr’s circles, energy and variational methods, materials, beams, failure criteria, fracture mechanics, compound cylinders, shrink fits, buckling of stepped columns, common shell types, and many other topics. The authors present significantly expanded and updated coverage of stress concentration factors and contact stress developments. Finally, they fully introduce computer-oriented approaches in a comprehensive new chapter on the finite element method.
Problems of Nonlinear Deformation by E.I. Grigolyuk,V.I. Shalashilin Pdf
Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.
Solid Mechanics by Clive L. Dym,Irving H. Shames Pdf
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.
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. Contents:Active Aeroelastic Control Law Design (Gang CHEN)Dynamic Bearing Characteristics of Elastic Ring Squeeze Film Damper: Pressure Distribution, Ring Deformation and Contacts (Qian DING)Dynamic Behavior and Energy Absorption of Metallic Lattice Materials (Daining FANG)Mechanical-Electric Behaviors of Multi-Stage Twisted Superconducting Wires and Cables (Yuanwen GAO)Crashworthiness Optimization of Vehicles and Components Under Impact Loadings (Xu HAN)On the Mechanical Behaviors of Cell Mechanosensing at Different Scales (Baohua JI)Ratchetting of Engineering Materials: Experimental Observations and Constitutive Models (Guozheng KANG)Research at the Interface of Mechanics and Medicine — Otolaryngology and Head Injury Studies (Heow Pueh LEE)Modelling of Discontinuous Medium with Discrete Fracture Networks (Guowei MA)Thermal Characterization of Silica Aerogels and 2D Materials via Molecular Dynamics Simulation (Teng Yong NG)Mechanical Properties and Fracture Behavior of Graphene and Other 2D Materials (Qing-Xiang PEI)Cellular Dynamics in Response to Mechanical Stimuli (Jin QIAN)Improved Mechanical Properties of Metallic Glasses (Zhendong SHA)Numerical Simulation for Materials with Irregular Meso Structures (Liqun TANG)Manipulating Electronic Properties of Functional Materials by Mechanical Loading (Biao WANG)Research Advances of Eigenelement Method for Periodical Composite Structures (Y F XING)Bio-Inspired Mechanics and Materials (Haimin YAO)Computational Modeling of Bone Fracture Healing by Using the Theory of Porous Media (Lihai ZHANG)and other papers Readership: Academic; graduate and post graduate students reading Applied Mechanics (and its affiliated fields), and Researchers active in the fields of Solid Mechanics, Fluid Mechanics, Thermodynamics, Materials Science, Nanomechanics, Biomechanics, Electromechanics, etc. Key Features:The contents are all cutting-edge works in applied mechanics. It will provide research directions for readersAll contributors are from top research institutions and they are very active researchers and academics. Their works represent worldclass levels of researchAll articles in this book focus on the cutting-edge problems in applied mechanics; readers can better understand the topics and the corresponding advances in applied mechanics from this bookKeywords:Applied Mechanics;Solid Mechanics;Nanomechanics;Fluid Mechanics;Mechanics of Soft Materials;Mechanical Behavior of Advanced Materials
Nonlinear Solid Mechanics by Adnan Ibrahimbegovic Pdf
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 book is intended as an introductory text on Solid Mechanics suitable for engineers, scientists and applied mathematicians. Solid mechanics is treated as a subset of mathematical engineering and courses on this topic which include theoretical, numerical and experimental aspects (as this text does) can be amongst the most interesting and accessible that an undergraduate science student can take. I have concentrated entirely on linear elasticity being, to the beginner, the most amenable and accessible aspect of solid mechanics. It is a subject with a long history, though its development in relatively recent times can be traced back to Hooke (circa 1670). Partly because of its long history solid mechanics has an 'old fashioned' feel to it which is reflected in numerous texts written on the subject. This is particularly so in the classic text by Love (A Treatise on the Mathematical Theory of Elasticity 4th ed., Cambridge, Univ. Press, 1927). Although there is a wealth of information in that text it is not in a form which is easily accessible to the average lecturer let alone the average engineering student. This classic style avoiding the use of vectors or tensors has been mirrored in many other more 'modern' texts.
The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution by Miguel Luiz Bucalem,Klaus-Jurgen Bathe Pdf
In the recent decades, computational procedures have been applied to an increasing extent in engineering and the physical sciences. Mostly, two separate fields have been considered, namely, the analysis of solids and structures and the analysis of fluid flows. These continuous advances in analyses are of much interest to physicists, mathematicians and in particular, engineers. Also, computational fluid and solid mechanics are no longer treated as entirely separate fields of applications, but instead, coupled fluid and solid analysis is being pursued. The objective of the Book Series is to publish monographs, textbooks, and proceedings of conferences of archival value, on any subject of computational fluid dynamics, computational solid and structural mechanics, and computational multi-physics dynamics. The publications are written by and for physicists, mathematicians and engineers and are to emphasize the modeling, analysis and solution of problems in engineering.
Mathematical Modelling in Solid Mechanics by Francesco dell'Isola,Mircea Sofonea,David Steigmann Pdf
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.