Author : Morton E. Gurtin
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 22,16 MB
Release : 2008-01-20
Category : Science
ISBN : 0387226567
Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.
Author : Gerard A. Maugin
Publisher : CRC Press
Page : 562 pages
File Size : 17,58 MB
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439846131
Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics. Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces—one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.
Author : Paul Steinmann
Publisher : Springer Nature
Page : 418 pages
File Size : 11,99 MB
Release : 2022-03-28
Category : Science
ISBN : 3030890708
This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.
Author : V.K. Kalpakides
Publisher : CRC Press
Page : 184 pages
File Size : 35,68 MB
Release : 2004-11-23
Category : Technology & Engineering
ISBN : 9780203024553
This book comprises papers that were presented at the Symposium on Configurational Mechanics, during the 5th EUROMECH Soil Mechanics Conference in Thessaloniki in August 2003. Configurational (or material) mechanics -in contrast to Newtonian mechanics in Euclidean space- concerns any sort of change or "motion" in the material configuration. This framework provides a novel and unifying view on otherwise diverse disciplines like fracture mechanics, phase transitions, plasticity and dislocation theory. In addition, configurational mechanics can be used in computations because it provides a fruitful interpretation of the field equations in the discretized space. This volume contains eleven contributions from specialists from around Europe Articles concern both theoretical and computational mechanics, electroplasticity, magnetoelasticity, elastoplasticity as well as granular, multiphase and micropolar media.
Author : G.A. Maugin
Publisher : CRC Press
Page : 292 pages
File Size : 35,84 MB
Release : 2020-09-11
Category : Mathematics
ISBN : 1000153053
Self contained, this book presents a thorough introduction to the complementary notions of physical forces and material (or configurational) forces. All the required elements of continuum mechanics, deformation theory and differential geometry are also covered. This book will be a great help to many, whilst revealing to others a rather new facet of continuum mechanics in general, and elasticity in particular. An organized exposition of continuum mechanics on the material manifold is given which allows for the consideration of material inhomogeneities in their most appropriate framework. In such a frame the nonlinear elasticity of anisotropic inhomogenous materials appears to be a true field theory. Extensions to the cases of electroelasticity and magnetelasticity are then straightforward. In addition, this original approach provides systematic computational means for the evaluation of characteristic parameters which are useful in various branches of applied mechanics and mathematical physics. This is the case for path-independent integrals and energy-release rates in brittle fracture, the influence of electromagnetic fields on fracture criteria (such as in ceramics), the notion of momentum of electromagnetic fields in matter in optics, and the perturbation of solitons propagating in elastic dispersive systems.
Author : Giuseppe Rega
Publisher : Springer Nature
Page : 505 pages
File Size : 23,70 MB
Release : 2022-06-04
Category : Technology & Engineering
ISBN : 3030941957
The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.
Author : Ansgar Beckermann
Publisher : Walter de Gruyter
Page : 325 pages
File Size : 21,87 MB
Release : 2011-07-20
Category : Philosophy
ISBN : 3110870088
Author : Sathish Kumar Palaniappan
Publisher : Elsevier
Page : 821 pages
File Size : 29,22 MB
Release : 2024-08-30
Category : Technology & Engineering
ISBN : 0443140863
Finite Element Analysis of Polymers and its Composites offers up-to-date and significant findings on the finite element analysis of polymers and its composite materials. It is important to point out, that to date, there are no books that have been published in this concept. Thus, academicians, researchers, scientists, engineers, and students in the similar field will benefit from this highly application-oriented book. This book summarizes the experimental, mathematical and numerical analysis of polymers and its composite materials through finite element method. It provides detailed and comprehensive information on mechanical properties, fatigue and creep behaviour, thermal behaviour, vibrational analysis, testing methods and their modeling techniques. In addition, this book lists the main industrial sectors in which polymers and its composite materials simulation is used, and their gains from it, including aeronautics, medical, aerospace, automotive, naval, energy, civil, sports, manufacturing and even electronics. Expands knowledge about the finite element analysis of polymers and composite materials to broaden application range Presents an extensive survey of recent developments in research Offers advancements of finite element analysis of polymers and composite materials Written by leading experts in the field Provides cutting-edge, up-to-date research on the characterization, analysis, and modeling of polymeric composite materials
Author : Paul Steinmann
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 35,43 MB
Release : 2006-01-20
Category : Technology & Engineering
ISBN : 038726261X
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural defects or of the loss of cohesion by the appearance of damage or the exten sion of cracks), plasticity, material growth in the bulk or at the surface by accretion, wear, and the production of debris - should enter a com mon framework where, by pure logic, the material manifold has to play a prominent role. Finding the mathematical formulation for this was one of the great achievements of J. D. Eshelby. He was led to consider the apparent but true motion or displacement of embedded material inhomogeneities, and thus he began to investigate the "driving force" causing this motion or displacement, something any good mechanician would naturally introduce through the duahty inherent in mechanics since J. L. d'Alembert.
Author : Roger Fosdick
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 25,18 MB
Release : 2000
Category : Mathematics
ISBN : 9780792369714
The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.
