Mechanics of Structured Media
Author: A.P.S. Selvadurai
Publisher: Elsevier
Published: 2016-06-06
Total Pages: 513
ISBN-13: 1483164136
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Author: A.P.S. Selvadurai
Publisher: Elsevier
Published: 2016-06-06
Total Pages: 513
ISBN-13: 1483164136
DOWNLOAD EBOOKMechanics of Structured Media
Author: Igor Andrianov
Publisher: Academic Press
Published: 2022-01-20
Total Pages: 528
ISBN-13: 0323906532
DOWNLOAD EBOOKMechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. - Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more - Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description - Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more - Applies homogenization concepts to various physical systems
Author: Ross C. McPhedran
Publisher: Springer Science & Business Media
Published: 2006-05-02
Total Pages: 335
ISBN-13: 0306469553
DOWNLOAD EBOOKThe IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media took place at the University of Sydney from January 18- 22, 1999. It brought together leading researchers from eleven countries for a week-long meeting, with the aim of providing cross-links between the com- nities studying related problems involving elastic and electromagnetic waves in structured materials. After the meeting, participants were invited to submit articles based on their presentations, which were refereed and assembled to constitute these Proceedings. The topics covered here represent areas at the forefront of research intoelastic and electromagnetic waves. They include effect of nonlinearity, diffusion and multiple scattering on waves, as well as asymptotic and numerical techniques. Composite materials are discussed in depth, with example systems ranging fromdusty plasmas to a magneto-elastic microstructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning scattering systems. There are also strong groups of papers on the localization of waves by random systems, and photonic and phononic band gap materials. These are being developed by analogue with semiconductors for electrons, and hold out the promise of enabling designers to control the propagation of waves through materials in novel ways. We would like to thank the other members of the Scientific Committee (A.
Author: Francesco dell'Isola
Publisher: Springer
Published: 2018-02-27
Total Pages: 368
ISBN-13: 3319736949
DOWNLOAD EBOOKThis book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.
Author: Alexander B. Movchan
Publisher: CRC Press
Published: 2017-11-09
Total Pages: 317
ISBN-13: 1351651420
DOWNLOAD EBOOKMathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.
Author: Simon Gluzman
Publisher: Academic Press
Published: 2017-09-20
Total Pages: 330
ISBN-13: 0128110473
DOWNLOAD EBOOKComputational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. - Computational methodology for main classes of problems in structured media - Theory of Representative Volume Element - Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella - Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations
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Publisher:
Published: 1974
Total Pages: 620
ISBN-13:
DOWNLOAD EBOOKAuthor: Roman Teisseyre
Publisher: Springer Science & Business Media
Published: 2006-07-01
Total Pages: 582
ISBN-13: 3540313370
DOWNLOAD EBOOKThis breakthrough book is the first to examine the rotational effects in earthquakes, a revolutionary concept in seismology. Existing models do no yet explain the significant rotational and twisting motions that occur during an earthquake and cause the failure of structures. The rotation and twist effects are investigated and described, and their consequences for designing tall buildings and other important structures are presented. This book will change the way the world views earthquakes.
Author: Zbigniew Brzoska
Publisher: Elsevier
Published: 2013-10-22
Total Pages: 789
ISBN-13: 1483291693
DOWNLOAD EBOOKThis volume describes engineering applications of the mechanics of deformable bodies and the elasticity theory relevant to them. It is concerned mainly with one-dimensional problems, which arise because either one of the dimensions of a body is much greater than the remaining two or the functions of two or three variables may be reduced to one variable.Problems of this type are of twofold importance. Firstly, many engineering problems can be described with sufficient accuracy just in this way. Secondly, unidimensional problems with known analytical solutions may serve either for testing numerical methods or for the analysis of fundamental concepts and phenomena, whose physical nature in three-dimensional approach might be obscured by the analytical-numerical aspect. The authors have confined themselves for the most part to the analysis of elastic behaviour of structures; however some attention is also given to elastic problems. A deterministic approach has been applied throughout the book. It will serve as a springboard for further work with stochastic approaches which are being increasingly used in engineering practice today.
Author: Sandip Kumar Saha
Publisher: Springer Nature
Published: 2020-11-23
Total Pages: 654
ISBN-13: 981158138X
DOWNLOAD EBOOKThis book presents selected papers from the 7th International Congress on Computational Mechanics and Simulation, held at IIT Mandi, India. The papers discuss the development of mathematical models representing physical phenomena and apply modern computing methods to analyze a broad range of applications including civil, offshore, aerospace, automotive, naval and nuclear structures. Special emphasis is given on simulation of structural response under extreme loading such as earthquake, blast etc. The book is of interest to researchers and academics from civil engineering, mechanical engineering, aerospace engineering, materials engineering/science, physics, mathematics and other disciplines.