Mechanics of Solid Deformable Body

Mechanics of Solid Deformable Body PDF Author: Michael Zhuravkov
Publisher: Springer Nature
ISBN: 9811984107
Category : Science
Languages : en
Pages : 317

Get Book Here

Book Description
This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.

Mechanics of Solid Deformable Body

Mechanics of Solid Deformable Body PDF Author: Michael Zhuravkov
Publisher: Springer Nature
ISBN: 9811984107
Category : Science
Languages : en
Pages : 317

Get Book Here

Book Description
This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.

Introduction to Solid Mechanics

Introduction to Solid Mechanics PDF Author: Jacob Lubliner
Publisher: Springer
ISBN: 331918878X
Category : Science
Languages : en
Pages : 539

Get Book Here

Book Description
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.

Fundamentals of Biomechanics

Fundamentals of Biomechanics PDF Author: Dawn L. Leger
Publisher: Springer Science & Business Media
ISBN: 1475730675
Category : Medical
Languages : en
Pages : 420

Get Book Here

Book Description
Extensively revised from a successful first edition, this book features a wealth of clear illustrations, numerous worked examples, and many problem sets. It provides the quantitative perspective missing from more descriptive texts, without requiring an advanced background in mathematics, and as such will be welcomed for use in courses such as biomechanics and orthopedics, rehabilitation and industrial engineering, and occupational or sports medicine.

Fundamentals of the Mechanics of Solids

Fundamentals of the Mechanics of Solids PDF Author: Paolo Maria Mariano
Publisher: Birkhäuser
ISBN: 1493931334
Category : Mathematics
Languages : en
Pages : 439

Get Book Here

Book Description
This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications. The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space. Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod. An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics. Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics. Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.

Applied Mechanics of Solids

Applied Mechanics of Solids PDF Author: Allan F. Bower
Publisher: CRC Press
ISBN: 1439802483
Category : Science
Languages : en
Pages : 822

Get Book Here

Book Description
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

Theory of Elasticity and Plasticity

Theory of Elasticity and Plasticity PDF Author: Valentin Molotnikov
Publisher: Springer Nature
ISBN: 3030666220
Category : Science
Languages : en
Pages : 447

Get Book Here

Book Description
This book serves as a core text for university curricula in solid body mechanics and, at the same time, examines the main achievements of state of the art research in the mechanics of elastic and non-elastic materials. This latter goal of the book is achieved through rich bibliographic references, many from the authors’ own work. authors. Distinct from similar texts, there are no claims in this volume to a single universal theory of plasticity. However, solutions are given to some new problems and to the construction of models useful both in pedagogic terms for students and practical terms for professional design engineers. Examples include the authors’ decisions about the Brazilian test, stability of rock exposure, and pile foundations. Designed for both upper-level university students and specialists in the mechanics of deformable hard body, the material in this book serves as a source for numerous topics of course and diploma concentration.

Deformable Bodies and Their Material Behavior

Deformable Bodies and Their Material Behavior PDF Author: Henry W. Haslach
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 568

Get Book Here

Book Description
ESSENTIAL TOOLS FOR AVOIDING MATERIAL FUNCTIONAL FAILURE Offering comprehensive, organized, and detailed coverage, Henry Haslach and Ronald Armstrong’s Deformable Bodies and Their Material Behavior present a quantitative description of the mechanical behavior of a broad range of deformable bodies under widely differing conditions and at a level sufficient to match real behavior, and introduces the key tools needed to avoid material functional failure. Covering stress and deformation analysis, material failure modes, and mechanical rest evaluations of material properties, this text provides the tools, insights, and knowledge needed to build a strong foundation for the design of mechanical devices. HIGHLIGHTS Considers most types of materials: metals, ceramics, fibered composites, concrete biological tissue, rubber, polymers, and wood. Focuses on the relationships between material properties of a deformable body and the forces and displacements applied to its boundary. Helps develop an appreciation for the approximations made in producing the mathematical models intended to predict mechanical response. Provides historical background on the definitions and models that designers commonly use, describing the practical reasons why these tools were invented.

Mechanics of Solids and Fluids

Mechanics of Solids and Fluids PDF Author: Franz Ziegler
Publisher: Springer Science & Business Media
ISBN: 9780387943992
Category : Mathematics
Languages : en
Pages : 882

Get Book Here

Book Description
Suitable for courses on fluid and solid mechanics, continuum mechanics, and strength of materials, this title offers a presentation of the theories and practical principles common to various branches of solid and fluid mechanics.

Engineering Solid Mechanics

Engineering Solid Mechanics PDF Author: Abdel-Rahman A. Ragab
Publisher: CRC Press
ISBN: 9780849316074
Category : Science
Languages : en
Pages : 948

Get Book Here

Book Description
Engineering Solid Mechanics bridges the gap between elementary approaches to strength of materials and more advanced, specialized versions on the subject. The book provides a basic understanding of the fundamentals of elasticity and plasticity, applies these fundamentals to solve analytically a spectrum of engineering problems, and introduces advanced topics of mechanics of materials - including fracture mechanics, creep, superplasticity, fiber reinforced composites, powder compacts, and porous solids. Text includes: stress and strain, equilibrium, and compatibility elastic stress-strain relations the elastic problem and the stress function approach to solving plane elastic problems applications of the stress function solution in Cartesian and polar coordinates Problems of elastic rods, plates, and shells through formulating a strain compatibility function as well as applying energy methods Elastic and elastic-plastic fracture mechanics Plastic and creep deformation Inelastic deformation and its applications This book presents the material in an instructive manner, suitable for individual self-study. It emphasizes analytical treatment of the subject, which is essential for handling modern numerical methods as well as assessing and creating software packages. The authors provide generous explanations, systematic derivations, and detailed discussions, supplemented by a vast variety of problems and solved examples. Primarily written for professionals and students in mechanical engineering, Engineering Solid Mechanics also serves persons in other fields of engineering, such as aerospace, civil, and material engineering.

Advanced Mechanics of Solids

Advanced Mechanics of Solids PDF Author: Lester W. Schmerr Jr.
Publisher: Cambridge University Press
ISBN: 1108910947
Category : Science
Languages : en
Pages : 582

Get Book Here

Book Description
Build on the foundations of elementary mechanics of materials texts with this modern textbook that covers the analysis of stresses and strains in elastic bodies. Discover how all analyses of stress and strain are based on the four pillars of equilibrium, compatibility, stress-strain relations, and boundary conditions. These four principles are discussed and provide a bridge between elementary analyses and more detailed treatments with the theory of elasticity. Using MATLAB® extensively throughout, the author considers three-dimensional stress, strain and stress-strain relations in detail with matrix-vector relations. Based on classroom-proven material, this valuable resource provides a unified approach useful for advanced undergraduate students and graduate students, practicing engineers, and researchers.