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.

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.

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.

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.

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.

Mathematical Applications in Continuum and Structural Mechanics

Mathematical Applications in Continuum and Structural Mechanics
Author: Francesco Marmo
Publisher: Springer Nature
Total Pages: 275
Release: 2021-11-30
Genre: Technology & Engineering
ISBN: 3030427072

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.