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Tensor Valued Random Fields For Continuum Physics


Tensor Valued Random Fields For Continuum Physics
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Tensor Valued Random Fields For Continuum Physics


Tensor Valued Random Fields For Continuum Physics
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Author : Anatoliy Malyarenko
language : en
Publisher: Cambridge University Press
Release Date : 2019

Tensor Valued Random Fields For Continuum Physics written by Anatoliy Malyarenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.


Presents a complete description of homogenous and isotropic tensor-valued random fields, including the problems of continuum physics, mathematical tools and applications.



Continuum Models And Discrete Systems


Continuum Models And Discrete Systems
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Author : François Willot
language : en
Publisher: Springer Nature
Release Date : 2024-09-23

Continuum Models And Discrete Systems written by François Willot and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Mathematics categories.


The present book contains the proceedings of the 14th International Symposium on Continuum Models and Discrete Systems (CMDS14) held in Paris in June 2023. It contains 21 contributions that cover a broad range of topics in the wide field of mechanics and physics of heterogeneous media for discrete and continuous systems, from image analysis to models of random structures and to homogenization. The sessions in the CMDS conference series cover, in particular, the modeling of complex heterogeneous systems and metamaterials, structures and composites with extreme properties, deformable solids with microstructures, generalized continua, fracture and defect dynamics, fatigue, design of structured and architectured materials, micro and nanostructures, thermodynamics, transport theory and multiphysics coupling and methods ranging from homogenization theories to optimal design and machine-learning frameworks. Papers in the present volume are organized according to the following six main topics: probabilistic models, homogenization, solid mechanics, architectured materials, optics and metamaterials, machine learning methods.



Materials With Internal Structure


Materials With Internal Structure
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Author : Patrizia Trovalusci
language : en
Publisher: Springer
Release Date : 2015-10-17

Materials With Internal Structure written by Patrizia Trovalusci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-17 with Science categories.


The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse–graining multiscale approaches.



Random Fields Of Piezoelectricity And Piezomagnetism


Random Fields Of Piezoelectricity And Piezomagnetism
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Author : Anatoliy Malyarenko
language : en
Publisher: Springer Nature
Release Date : 2020-11-05

Random Fields Of Piezoelectricity And Piezomagnetism written by Anatoliy Malyarenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-05 with Mathematics categories.


Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.



Stochastic Processes And Applications


Stochastic Processes And Applications
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Author : Sergei Silvestrov
language : en
Publisher: Springer
Release Date : 2018-12-05

Stochastic Processes And Applications written by Sergei Silvestrov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-05 with Mathematics categories.


This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications. It comprises selected, high-quality, refereed contributions from various large research communities in modern stochastic processes, algebraic structures and their interplay and applications. The chapters cover both theory and applications, illustrated by numerous figures, schemes, algorithms, tables and research results to help readers understand the material and develop new mathematical methods, concepts and computing applications in the future. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research, the book serves as a source of inspiration for a broad spectrum of researchers and research students in probability theory and mathematical statistics, applied algebraic structures, applied mathematics and other areas of mathematics and applications of mathematics. The book is based on selected contributions presented at the International Conference on “Stochastic Processes and Algebraic Structures – From Theory Towards Applications” (SPAS2017) to mark Professor Dmitrii Silvestrov’s 70th birthday and his 50 years of fruitful service to mathematics, education and international cooperation, which was held at Mälardalen University in Västerås and Stockholm University, Sweden, in October 2017.



Noether Symmetries In Theories Of Gravity


Noether Symmetries In Theories Of Gravity
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Author : Francesco Bajardi
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-24

Noether Symmetries In Theories Of Gravity written by Francesco Bajardi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-24 with Science categories.


This volume summarizes the many modified theories of gravity and shows how to select physically viable models using symmetry principles.



The Large Scale Structure Of Space Time


The Large Scale Structure Of Space Time
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Author : Stephen W. Hawking
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16

The Large Scale Structure Of Space Time written by Stephen W. Hawking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-16 with Science categories.


First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.



Semiclassical And Stochastic Gravity


Semiclassical And Stochastic Gravity
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Author : Bei-Lok B. Hu
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-05

Semiclassical And Stochastic Gravity written by Bei-Lok B. Hu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Science categories.


An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.



Relativistic Fluid Dynamics In And Out Of Equilibrium


Relativistic Fluid Dynamics In And Out Of Equilibrium
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Author : Paul Romatschke
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Relativistic Fluid Dynamics In And Out Of Equilibrium written by Paul Romatschke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Science categories.


Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.



Mass Dimension One Fermions


Mass Dimension One Fermions
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Author : Dharam Ahluwalia
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-04

Mass Dimension One Fermions written by Dharam Ahluwalia and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-04 with Science categories.


Provides an overview of the eigenspinors of the charge conjugation operator and mass one dimension fermions.