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The Characterization Of Finite Elasticities
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Book Synopsis The Characterization of Finite Elasticities by : David J. Grynkiewicz
Download or read book The Characterization of Finite Elasticities written by David J. Grynkiewicz and published by Springer Nature. This book was released on 2022-10-26 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new theory in convex geometry, generalizing positive bases and related to Carathéordory’s Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra) This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization. While factorization into irreducibles, called atoms, generally fails to be unique, there are various measures of how badly this can fail. Among the most important is the elasticity, which measures the ratio between the maximum and minimum number of atoms in any factorization. Having finite elasticity is a key indicator that factorization, while not unique, is not completely wild. Via the developed material in convex geometry, we characterize when finite elasticity holds for any Krull domain with finitely generated class group $G$, with the results extending more generally to transfer Krull monoids. This book is aimed at researchers in the field but is written to also be accessible for graduate students and general mathematicians.
Book Synopsis Topics in Finite Elasticity by : Morton E. Gurtin
Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Finite Elasticity by : Michael Hayes
Download or read book Topics in Finite Elasticity written by Michael Hayes and published by Springer. This book was released on 2014-05-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.
Book Synopsis Finite Elasticity Theory by : David J. Steigmann
Download or read book Finite Elasticity Theory written by David J. Steigmann and published by Oxford University Press. This book was released on 2017-08-25 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing case studies and examples, the book aims to cover extensive research particularly on surface stress and topics related to the variational approach to the subject, and non-standard topics such as the rigorous treatment of constraints and a full discussion of algebraic inequalities associated with realistic material behaviour, and their implications. Serving as an introduction to the basic elements of Finite Elasticity, this textbook is the cornerstone for any graduate-level on the topic, while also providing a template for a host of theories in Solid Mechanics.
Book Synopsis Finite Elasticity and Viscoelasticity by : Aleksey D. Drozdov
Download or read book Finite Elasticity and Viscoelasticity written by Aleksey D. Drozdov and published by World Scientific. This book was released on 1996-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
Book Synopsis Computational Elasticity by : Mohammed Ameen
Download or read book Computational Elasticity written by Mohammed Ameen and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :American Society of Mechanical Engineers. Applied Mechanics Division Publisher : ISBN 13 : Total Pages :172 pages Book Rating :4.F/5 ( download)
Book Synopsis Finite Elasticity by : American Society of Mechanical Engineers. Applied Mechanics Division
Download or read book Finite Elasticity written by American Society of Mechanical Engineers. Applied Mechanics Division and published by . This book was released on 1977 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Elasticity by : David E. Carlson
Download or read book Finite Elasticity written by David E. Carlson and published by . This book was released on 1982 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Problems in Finite Elasticity by : Peter Frederick Sielman
Download or read book Some Problems in Finite Elasticity written by Peter Frederick Sielman and published by . This book was released on 1959 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Finite Elasticity by : Rohan Abeyaratne
Download or read book An Introduction to Finite Elasticity written by Rohan Abeyaratne and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Partial Solutions of Finite Elasticity by : James Murray Hill
Download or read book Some Partial Solutions of Finite Elasticity written by James Murray Hill and published by . This book was released on 1972 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Two Investigations in Finite Elasticity by : Werner Walter Klingbeil
Download or read book Two Investigations in Finite Elasticity written by Werner Walter Klingbeil and published by . This book was released on 1966 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Stability Problems in Finite Elasticity by : Sheikh Amanullah Usami
Download or read book Some Stability Problems in Finite Elasticity written by Sheikh Amanullah Usami and published by . This book was released on 1973 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Topics in Finite Elasticity by : Ronald S. Rivlin
Download or read book Some Topics in Finite Elasticity written by Ronald S. Rivlin and published by . This book was released on 1958* with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin
Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2013-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Book Synopsis Characterization of Elastic Solids Using Finite Element Methods by : Brian Alfred Edwards
Download or read book Characterization of Elastic Solids Using Finite Element Methods written by Brian Alfred Edwards and published by . This book was released on 1972 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element methods are applied to the problem of characterizing linear, anisotropic elastic solids. The conventional finite element displacement formulation is used to simulate an elastic material in plane stress. An inverted finite element formulation is then applied, and the characterizing six material constants are calculated as numerical results. A possible test device for the experimental characterization of anisotropic solids is postulated, the precision of displacement measurements to be required for such a device being determined by random perturbation analysis. Numerical constants accurate to within three percent are predicted if a precision of one part in eight hundred (1/800) can be measured. Numerical constants accurate to within one percent are predicted if a precision of one part in eight thousand (1/8000) can be measured in the test device. (Author).
Book Synopsis Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks by :
Download or read book Linearized Elasticity as Γ‐Limit of Finite Elasticity in the Case of Cracks written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
