Mathematical Methods in Electro-Magneto-Elasticity

Mathematical Methods in Electro-Magneto-Elasticity
Author: Demosthenis I. Bardzokas
Publisher: Springer Science & Business Media
Total Pages: 539
Release: 2007-05-19
Genre: Technology & Engineering
ISBN: 3540710310

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.

Analysis of Shells, Plates, and Beams

Analysis of Shells, Plates, and Beams
Author: Holm Altenbach
Publisher: Springer Nature
Total Pages: 504
Release: 2020-06-03
Genre: Science
ISBN: 3030474917

This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Modern Applied Mathematics

Modern Applied Mathematics
Author: J. C. Misra
Publisher: Alpha Science Int'l Ltd.
Total Pages: 572
Release: 2005
Genre: Mathematics
ISBN: 9788173194924

This comprehensive volume introduces educational units dealing with important topics of modern applied mathematics. Chapters include comprehensive information on different topics such as: Methods of Approximation for Mapping in Probability Spaces, Mathematical Modelling of Seismic Sources, Climate Variability, Geometry of Differential Equations, Modelling of Particle-Driven Gravity Currents, Impulsive Free-Surface Flows, Internal Wave Propagation, Isogroups and Exact Solutions of Higher Order Boltzman Equation, Molecular and Particle Modelling, Asymptotic Behaviour of Solutions of Nonlinear Partial Differential Equations, Mixed Boundary Value Problems, Dual Integral Equations, Dual Series Equations and their Applications, Evolutionary Mechanisms of Organization in Complex Systems, Zero-Sum Differential Games, Bernoulli Convolutions, Probability Distribution Functions, O.D.E. Approach to Stochastic Approximation, Bayesian Inference on the Long Range Dependence.

Applications of Mathematics and Informatics in Natural Sciences and Engineering

Applications of Mathematics and Informatics in Natural Sciences and Engineering
Author: George Jaiani
Publisher: Springer Nature
Total Pages: 280
Release: 2020-11-28
Genre: Mathematics
ISBN: 3030563561

This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019. Written by leading researchers from Austria, France, Germany, Georgia, Hungary, Romania, South Korea and the UK, the book discusses important aspects of mathematics, and informatics, and their applications in natural sciences and engineering. It particularly focuses on Lie algebras and applications, strategic graph rewriting, interactive modeling frameworks, rule-based frameworks, elastic composites, piezoelectrics, electromagnetic force models, limiting distribution, degenerate Ito-SDEs, induced operators, subgaussian random elements, transmission problems, pseudo-differential equations, and degenerate partial differential equations. Featuring theoretical, practical and numerical contributions, the book will appeal to scientists from various disciplines interested in applications of mathematics and informatics in natural sciences and engineering.

Fracture Mechanics of Electromagnetic Materials

Fracture Mechanics of Electromagnetic Materials
Author: Xiaohong Chen
Publisher: World Scientific
Total Pages: 326
Release: 2012
Genre: Mathematics
ISBN: 184816663X

Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities. Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource.

Analysis, Applications, and Computations

Analysis, Applications, and Computations
Author: Uwe Kähler
Publisher: Springer Nature
Total Pages: 696
Release: 2023-12-01
Genre: Mathematics
ISBN: 3031363752

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials

Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials
Author: Raymond Ogden
Publisher: Springer Science & Business Media
Total Pages: 268
Release: 2011-05-25
Genre: Science
ISBN: 3709107016

This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Thermoelasticity with Finite Wave Speeds

Thermoelasticity with Finite Wave Speeds
Author: Józef Ignaczak
Publisher: Oxford University Press
Total Pages: 432
Release: 2010
Genre: Language Arts & Disciplines
ISBN: 0199541647

A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.