Continuum Mechanics Of Solids
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| Author | : Lallit Anand |
| Publisher | : Oxford Graduate Texts |
| Total Pages | : 722 |
| Release | : 2020 |
| Genre | : Continuum mechanics |
| ISBN | : 0198864728 |
This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.
| Author | : Yavuz Basar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 201 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3662042991 |
The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.
| Author | : Martin Kružík |
| Publisher | : Springer |
| Total Pages | : 624 |
| Release | : 2019-03-02 |
| Genre | : Science |
| ISBN | : 3030020657 |
This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
| Author | : Allan F. Bower |
| Publisher | : CRC Press |
| Total Pages | : 820 |
| Release | : 2009-10-05 |
| Genre | : Science |
| ISBN | : 1439802483 |
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
| Author | : Peter Haupt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 666 |
| Release | : 2013-03-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3662047756 |
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
| Author | : Sanjay Govindjee |
| Publisher | : |
| Total Pages | : 444 |
| Release | : 2020-07-25 |
| Genre | : |
| ISBN | : 9781083047366 |
Example Problems for Continuum Mechanics of Solids is designed to allow students to learn by example. The target audience is beginning graduate students studying Solid Mechanics who are following a course of study based on the text book Continuum Mechanics of Solids by Anand and Govindjee. This companion book provides a collection of over 180 fully-developed solutions to a wide selection of problems in order to expose students to the essential methods for solving problems in continuum mechanics of solids.
| Author | : Stephen C. Cowin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 435 |
| Release | : 2013-01-09 |
| Genre | : Technology & Engineering |
| ISBN | : 146145025X |
Continuum Mechanics of Anisotropic Materials(CMAM) presents an entirely new and unique development of material anisotropy in the context of an appropriate selection and organization of continuum mechanics topics. These features will distinguish this continuum mechanics book from other books on this subject. Textbooks on continuum mechanics are widely employed in engineering education, however, none of them deal specifically with anisotropy in materials. For the audience of Biomedical, Chemical and Civil Engineering students, these materials will be dealt with more frequently and greater accuracy in their analysis will be desired. Continuum Mechanics of Anisotropic Materials' author has been a leader in the field of developing new approaches for the understanding of anisotropic materials.
| Author | : Gerard A Maugin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 321 |
| Release | : 2013-04-08 |
| Genre | : Science |
| ISBN | : 9400763530 |
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.
| Author | : Konstantin Naumenko |
| Publisher | : Springer |
| Total Pages | : 555 |
| Release | : 2016-05-12 |
| Genre | : Science |
| ISBN | : 9811009597 |
This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.
| Author | : David Rubin |
| Publisher | : Newnes |
| Total Pages | : 571 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0080983871 |
Continuum mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples and problems, many with solutions. Through the addition of more advanced material (solution of classical elasticity problems, constitutive equations for viscoelastic fluids, and finite deformation theory), this popular introduction to modern continuum mechanics has been fully revised to serve a dual purpose: for introductory courses in undergraduate engineering curricula, and for beginning graduate courses.
