Geometry Of Incompatible Deformations

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Geometry Of Incompatible Deformations

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Author :
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-03-04

Geometry Of Incompatible Deformations written by and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-04 with Science categories.

A Systematic Treatment Of Differential Geometry In Modeling Of Incompatible Fiite Deformations In Solids

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Author : Lafayette Morissette
language : en
Publisher:
Release Date : 2021-06-30

A Systematic Treatment Of Differential Geometry In Modeling Of Incompatible Fiite Deformations In Solids written by Lafayette Morissette and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with categories.

A systematic treatment of differential geometry in modeling of incompatible fiite deformations in solids

Lectures On Duflo Isomorphisms In Lie Algebra And Complex Geometry

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Author : Damien Calaque
language : en
Publisher: European Mathematical Society
Release Date : 2011

Lectures On Duflo Isomorphisms In Lie Algebra And Complex Geometry written by Damien Calaque and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Cohomology operations categories.

The Duflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of Harish-Chandra on semi-simple Lie algebras. Kontsevich later refined Duflo's result in the framework of deformation quantization and also observed that there is a similar isomorphism between Dolbeault cohomology of holomorphic polyvector fields on a complex manifold and its Hochschild cohomology. This book, which arose from a series of lectures by Damien Calaque at ETH, derives these two isomorphisms from a Duflo-type result for $Q$-manifolds. All notions mentioned above are introduced and explained in this book. The only prerequisites are basic linear algebra and differential geometry. In addition to standard notions such as Lie (super) algebras, complex manifolds, Hochschild and Chevalley-Eilenberg cohomologies, spectral sequences, Atiyah and Todd classes, the graphical calculus introduced by Kontsevich in his seminal work on deformation quantization is addressed in detail. This book is well suited for graduate students in mathematics and mathematical physics as well as researchers working in Lie theory, algebraic geometry, and deformation theory.

Deformation Problems In Lie Algebroids And Extended Poisson Geometry

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Author : Xiang Ji
language : en
Publisher:
Release Date : 2013

Deformation Problems In Lie Algebroids And Extended Poisson Geometry written by Xiang Ji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Mechanics For Materials And Technologies

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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2017-04-02

Mechanics For Materials And Technologies written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-02 with Science categories.

This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.

Geometry Of Relative Deformations

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Author : S. A. Merkulov
language : en
Publisher:
Release Date : 1993

Geometry Of Relative Deformations written by S. A. Merkulov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

A Study In Derived Algebraic Geometry Deformations Lie Theory And Formal Geometry

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Author : Dennis Gaitsgory
language : en
Publisher:
Release Date : 2017

A Study In Derived Algebraic Geometry Deformations Lie Theory And Formal Geometry written by Dennis Gaitsgory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Duality theory (Mathematics) categories.

Strain Patterns In Rocks

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Author : P. R. Cobbold
language : en
Publisher: Elsevier
Release Date : 2015-12-04

Strain Patterns In Rocks written by P. R. Cobbold and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-04 with Technology & Engineering categories.

Strain Patterns in Rocks is a selection of papers presented at the international workshop, held in Rennes on May 13-14, 1982. The book presents papers on the techniques of strain measurement; an orthographic analysis of deformation; and the applications of the Mohr circle to inhomogeneous deformation. The text also includes papers on the methods of strain removal; a general transformation to simulate heterogeneous strain states; the significance of isotropic points; and the detection of volume changes. Papers on the analyses of strain discontinuity at interfaces; strain refraction through contrasting layers; and strain patterns in ductile shear zones and at the tips to shear and thrust zones are also considered. The book further includes papers on the natural strain patterns: in mylonite zones, in granites, in Alpine nappes, in linearly anisotropic rocks, in an ice cap and in a boudin model.

Phase Field Modeling Of Multi Domain Evolution In Ferromagnetic Shape Memory Alloys And Of Polycrystalline Thin Film Growth

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Author : Christian Mennerich
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-05-13

Phase Field Modeling Of Multi Domain Evolution In Ferromagnetic Shape Memory Alloys And Of Polycrystalline Thin Film Growth written by Christian Mennerich and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-13 with Science categories.

The phase-field method is a powerful tool in computer-aided materials science as it allows for the analysis of the time-spatial evolution of microstructures on the mesoscale. A multi-phase-field model is adopted to run numerical simulations in two different areas of scientific interest: Polycrystalline thin films growth and the ferromagnetic shape memory effect. FFT-techniques, norm conservative integration and RVE-methods are necessary to make the coupled problems numerically feasible.

The Mathematics And Mechanics Of Biological Growth

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Author : Alain Goriely
language : en
Publisher: Springer
Release Date : 2017-05-29

The Mathematics And Mechanics Of Biological Growth written by Alain Goriely and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Mathematics categories.

This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.