Mathematical Methods in Electro-Magneto-Elasticity - 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 Electro-Magneto-Elasticity write by Demosthenis I. Bardzokas. This book was released on 2007-05-19. Mathematical Methods in Electro-Magneto-Elasticity available in PDF, EPUB and Kindle. The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. This book fills many gaps in the theoretical literature which arise due to the complexity of the problem. A vast number of problems are considered so that the reader can get a clear quantitative and qualitative understanding of the phenomena taking place.
Mathematical Methods of Electromagnetic Theory
Mathematical Methods of Electromagnetic Theory - 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 of Electromagnetic Theory write by Kurt O. Friedrichs. This book was released on 2014-11-12. Mathematical Methods of Electromagnetic Theory available in PDF, EPUB and Kindle. This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modern vector calculus. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Mathematical Methods in Dynamical Systems
Mathematical Methods in Dynamical Systems - 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 Dynamical Systems write by S. Chakraverty. This book was released on 2023-05-19. Mathematical Methods in Dynamical Systems available in PDF, EPUB and Kindle. The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.
Mathematical Problems of Thermo-electro-magneto-elasticity
Mathematical Problems of Thermo-electro-magneto-elasticity - 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 Problems of Thermo-electro-magneto-elasticity write by David Georgievič Natrošvili. This book was released on 2011. Mathematical Problems of Thermo-electro-magneto-elasticity available in PDF, EPUB and Kindle.
Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells
Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells - 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 Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells write by Francesco Tornabene. This book was released on 2023-10-13. Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells available in PDF, EPUB and Kindle. This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells. In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the physical behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.
