Mathematical Methods in Continuum Mechanics of Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods in Continuum Mechanics of Solids write by Martin Kružík. This book was released on 2019-03-02. Mathematical Methods in Continuum Mechanics of Solids available in PDF, EPUB and Kindle. 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.
Mathematical Theory of Continuum Mechanics
Mathematical Theory of Continuum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Continuum Mechanics write by Rabindranath Chatterjee. This book was released on 1999. Mathematical Theory of Continuum Mechanics available in PDF, EPUB and Kindle. This text provides an introduction to the theory of continuum mechanics in a logically satisfying form. A simple knowledge of Cartesian tensors is a sufficient prerequisite for this book. The book deals with two major branches of continuum mechanics - the mechanics of elastic solids and the mechanics of fluids providing the basis of civil and mechanical engineering, applied mathematics and physics. Traditional courses in solid mechanics and fluid mechanics are usually taught separately with emphasis on physical behaviour at the cost of rigorous mathematical foundation neglecting the analogies between solids and fluids. The book brings two disciplines under one roof seeking to generalize and unify specialized topics.
Nonlinear Continuum Mechanics of Solids
Nonlinear Continuum Mechanics of Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Continuum Mechanics of Solids write by Yavuz Basar. This book was released on 2013-11-11. Nonlinear Continuum Mechanics of Solids available in PDF, EPUB and Kindle. 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.
Advanced Methods of Continuum Mechanics for Materials and Structures
Advanced Methods of Continuum Mechanics for Materials and Structures - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Methods of Continuum Mechanics for Materials and Structures write by Konstantin Naumenko. This book was released on 2016-05-12. Advanced Methods of Continuum Mechanics for Materials and Structures available in PDF, EPUB and Kindle. 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.
Meshless Methods in Solid Mechanics
Meshless Methods in Solid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Meshless Methods in Solid Mechanics write by Youping Chen. This book was released on 2006-12-31. Meshless Methods in Solid Mechanics available in PDF, EPUB and Kindle. This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
