Engineering Mechanics of Deformable Solids

A Presentation with Exercises

Author: Sanjay Govindjee

Publisher: Oxford University Press

ISBN: 0199651647

Category: Mathematics

Page: 334

View: 2690

An explanation of the basic theory of engineering mechanics for mechanical, civil, and materials engineers. The presentation is concise and geared to more mathematically-oriented students and those looking to quickly refresh their understanding of engineering mechanics.
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Engineering Mechanics of Deformable Solids

A Presentation with Exercises

Author: Sanjay Govindjee

Publisher: OUP Oxford

ISBN: 0191649937

Category: Science

Page: 352

View: 6475

This book covers the essential elements of engineering mechanics of deformable bodies, including mechanical elements in tension-compression, torsion, and bending. It emphasizes a fundamental bottom up approach to the subject in a concise and uncluttered presentation. Of special interest are chapters dealing with potential energy as well as principle of virtual work methods for both exact and approximate solutions. The book places an emphasis on the underlying assumptions of the theories in order to encourage the reader to think more deeply about the subject matter. The book should be of special interest to undergraduate students looking for a streamlined presentation as well as those returning to the subject for a second time.
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Introduction to Solid Mechanics

An Integrated Approach

Author: Jacob Lubliner,Panayiotis Papadopoulos

Publisher: Springer

ISBN: 331918878X

Category: Technology & Engineering

Page: 496

View: 358

This expanded second edition presents in one text the concepts and processes covered in statics and mechanics of materials curricula following a systematic, topically integrated approach. Building on the novel pedagogy of fusing concepts covered in traditional undergraduate courses in rigid-body statics and deformable body mechanics, rather than simply grafting them together, this new edition develops further the authors’ very original treatment of solid mechanics with additional figures, an elaboration on selected solved problems, and additional text as well as a new subsection on viscoelasticity in response to students’ feedback. Introduction to Solid Mechanics: An Integrated Approach, Second Edition, offers a holistic treatment of the depth and breadth of solid mechanics and the inter-relationships of its underlying concepts. Proceeding from first principles to applications, the book stands as a whole greater than the sum of its parts.
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MECHANICS OF SOLIDS

Author: ARBIND KUMAR SINGH

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120331907

Category: Science

Page: 496

View: 3766

Designed as a text for both the undergraduate and postgraduate students of civil, mechanical, aerospace, and marine engineering, this book provides an indepth analysis of the fundamental principles of mechanics of deformable solids based on the phenomenological approach. The book starts with linear and angular momentum principles for a body. It introduces the concepts of stress, strain and the constitutive relations using tensors. Then it goes on to give a description of the laws of thermodynamics as a restriction on constitutive relations and formulates the boundary value problem in elasticity. Besides, the text treats bar under axial, bending and torsional deformation as well as plane stress and plane strain idealizations. The book concludes with a discussion on variational mechanics and the theory of plasticity. DISTINGUISHING FEATURES l Elaborate treatment of constitutive relations for linear elasticity. l Consistent formulation of strength of materials approach and three-dimensional elasticity for bar under axial, bending and torsional deformation. l Presentation of failure criteria and plasticity theory taking the modern developments into account.  Large number of worked-out examples throughout the text and exercises at the end of each chapter.
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Elasticity

Theory, Applications, and Numerics

Author: Martin H. Sadd

Publisher: Academic Press

ISBN: 0124104320

Category: Science

Page: 600

View: 2559

Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. Thorough yet concise introduction to linear elasticity theory and applications Only text providing detailed solutions to problems of nonhomogeneous/graded materials New material on stress contours/lines, contact stresses, curvilinear anisotropy applications Further and new integration of MATLAB software Addition of many new exercises Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations Online solutions manual and downloadable MATLAB code
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Applied Impact Mechanics

Author: C. Lakshmana Rao,V. Narayanamurthy,K. R. Y. Simha

Publisher: John Wiley & Sons

ISBN: 1119241855

Category: Science

Page: 350

View: 6649

This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.
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Mechanics of Materials, SI Edition

Author: Barry J. Goodno,James M. Gere

Publisher: Cengage Learning

ISBN: 1337093351

Category: Technology & Engineering

Page: 1152

View: 7821

Readers gain a complete and integrated treatment of the mechanics of materials -- an essential subject in mechanical, civil, and structural engineering. -- with a market-leading MECHANICS OF MATERIALS, 9E. This book examines the analysis and design of structural members subjected to tension, compression, torsion, and bending, laying the foundation for further study. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Nonlinear Solid Mechanics

A Continuum Approach for Engineering

Author: Gerhard A. Holzapfel

Publisher: Wiley

ISBN: 9780471823193

Category: Technology & Engineering

Page: 470

View: 9196

Nonlinear Solid Mechanics a Continuum Approach for Engineering Gerhard A. Holzapfel Graz University of Technology, Austria With a modern, comprehensive approach directed towards computational mechanics, this book covers a unique combination of subjects at present unavailable in any other text. It includes vital information on 'variational principles' constituting the cornerstone of the finite element method. In fact this is the only method by which Nonlinear Solid Mechanics is utilized in engineering practice. The book opens with a fundamental chapter on vectors and tensors. The following chapters are based on nonlinear continuum mechanics - an inevitable prerequisite for computational mechanicians. In addition, continuum field theory (applied to a representative sample of hyperelastic materials currently used in nonlinear computations such as incompressible and compressible materials) is presented, as are transversely isotropic materials, composite materials, viscoelastic materials and hyperelastic materials with isotropic damage. Another central chapter is devoted to the thermodynamics of materials, covering both finite thermoelasticity and finite thermoviscoelasticity. Also included are: * an up-to-date list of almost 300 references and a comprehensive index * useful examples and exercises for the student * selected topics of statistical and continuum thermodynamics. Furthermore, the principle of virtual work (in both the material and spatial descriptions) is compared with two and three-field variational principles particularly designed to capture kinematic constraints such as incompressibility. All of the features combined result in an essential text for final year undergraduates, postgraduates and researchers in mechanical, civil and aerospace engineering and applied maths and physics.
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Wicking in Porous Materials

Traditional and Modern Modeling Approaches

Author: Reza Masoodi,Krishna M. Pillai

Publisher: CRC Press

ISBN: 1439874328

Category: Technology & Engineering

Page: 380

View: 6580

A comprehensive presentation of wicking models developed in academia and industry, Wicking in Porous Materials: Traditional and Modern Modeling Approaches contains some of the most important approaches and methods available, from the traditional Washburn-type models to the latest Lattice-Boltzmann approaches developed during the last few years. It provides a sound conceptual framework for learning the science behind different mathematical models while at the same time being aware of the practical issues of model validation as well as measurement of important properties and parameters associated with various models. Top experts in the field reveal the secrets of their wicking models. The chapters cover the following topics: Wetting and wettability Darcy’s law for single- and multi-phase flows Traditional capillary models, such as the Washburn-equation based approaches Unsaturated-flow based methodologies (Richard’s Equation) Sharp-front (plug-flow) type approaches using Darcy’s law Pore network models for wicking after including various micro-scale fluid-flow phenomena Studying the effect of evaporation on wicking using pore network models Fractal-based methods Modeling methods based on mixture theory Lattice-Boltzmann method for modeling wicking in small scales Modeling wicking in swelling and non-rigid porous media This extensive look at the modeling of porous media compares various methods and treats traditional topics as well as modern technologies. It emphasizes experimental validation of modeling approaches as well as experimental determination of model parameters. Matching models to particular media, the book provides guidance on what models to use and how to use them.
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Engineering Mechanics

Dynamics

Author: J. L. Meriam,L. G. Kraige

Publisher: John Wiley & Sons

ISBN: 0470614811

Category: Technology & Engineering

Page: 723

View: 8060

The latest edition of Engineering Mechanics–Dynamics continues to provide the same high quality material seen in previous editions. It provides extensively rewritten, updated prose for content clarity, superb new problems in new application areas, outstanding instruction on drawing free body diagrams, and new electronic supplements to assist learning and instruction.
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Variational Methods in the Mechanics of Solids

Proceedings of the IUTAM Symposium on Variational Methods in the Mechanics of Solids Held at Northwestern University, Evanston, Illinois, U.S.A., 11-13 September 1978

Author: S. Nemat-Nasser

Publisher: Elsevier

ISBN: 1483145832

Category: Technology & Engineering

Page: 428

View: 5495

Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
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Applied Solid Mechanics

Author: Peter Howell,Gregory Kozyreff,John Ockendon

Publisher: Cambridge University Press

ISBN: 052185489X

Category: Mathematics

Page: 452

View: 9455

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

Variational and Computational Methods

Author: Walter Wunderlich,Walter D. Pilkey

Publisher: CRC Press

ISBN: 1420041835

Category: Science

Page: 912

View: 5231

Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the strength of materials and the theory of elasticity. They next introduce variational principles, including mixed or generalized principles, and derive integral forms of the governing equations. Discussions then move to computational methods, including the finite element method, and these are developed to solve the differential and integral equations. New in the second edition: A one-dimensional introduction to the finite element method, complete with illustrations of numerical mesh refinement Expansion of the use of Galerkin's method. Discussion of recent developments in the theory of bending and torsion of thin-walled beams. An appendix summarizing the fundamental equations in differential and variational form Completely new treatment of stability, including detailed examples Discussion of the principal values of geometric properties and stresses Additional exercises As a textbook or as a reference, Mechanics of Structures builds a unified, variational foundation for structure mechanics, which in turn forms the basis for the computational solid mechanics so essential to modern engineering.
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Dynamics of Multibody Systems

Author: Ahmed A. Shabana

Publisher: Cambridge University Press

ISBN: 1107042658

Category: Science

Page: 384

View: 687

"This enhanced fourth edition of Dynamics of Multibody Systems includes an additional chapter that provides explanations of some of the fundamental issues addressed in the book, as well as new detailed derivations of some important problems. Many common mechanisms such as automobiles, space structures, robots, and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems"--
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MATLAB Codes for Finite Element Analysis

Solids and Structures

Author: A. J. M. Ferreira

Publisher: Springer Science & Business Media

ISBN: 1402092008

Category: Technology & Engineering

Page: 235

View: 2064

This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected]
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Mechanics and Strength of Materials

Author: Vitor Dias da Silva

Publisher: Springer Science & Business Media

ISBN: 354030813X

Category: Technology & Engineering

Page: 529

View: 3416

Gives a clear and thorough presentation of the fundamental principles of mechanics and strength of materials. Provides both the theory and applications of mechanics of materials on an intermediate theoretical level. Useful as a reference tool by postgraduates and researchers in the fields of solid mechanics as well as practicing engineers.
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Schaum's Outline of Strength of Materials

Author: William Nash

Publisher: McGraw Hill Professional

ISBN: 0071368639

Category: Technology & Engineering

Page: 432

View: 2254

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.
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Soft Solids

A Primer to the Theoretical Mechanics of Materials

Author: Alan Freed

Publisher: Springer Science & Business Media

ISBN: 3319035517

Category: Mathematics

Page: 364

View: 4913

This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics and other fields where the mechanical response of soft solids is relevant. Soft Solids: A Primer to the Theoretical Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of soft solids. Part II presents two distinct theories of elasticity and their associated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterize materials. These problems are discussed at the end of each chapter, giving students the opportunity to apply what they learned in the current chapter and to build upon the material in prior chapters.
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