Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC

Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC PDF Author: Schiebl, Mark Georg
Publisher: KIT Scientific Publishing
ISBN: 3731511177
Category : Technology & Engineering
Languages : en
Pages : 238

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Book Description
The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity.

Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC

Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC PDF Author: Schiebl, Mark Georg
Publisher: KIT Scientific Publishing
ISBN: 3731511177
Category : Technology & Engineering
Languages : en
Pages : 238

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Book Description
The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity.

Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations

Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations PDF Author: Ströhle, Timo
Publisher: KIT Scientific Publishing
ISBN: 3731513366
Category :
Languages : en
Pages : 174

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Book Description
This work is about the inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations subjected to time-varying Dirichlet boundary conditions that are enforced by unknown, spatially disjunct, hence non-collocated Neumann boundary conditions.

Multi-field modeling and simulation of fiber-reinforced polymers

Multi-field modeling and simulation of fiber-reinforced polymers PDF Author: Schulte, Jonathan
Publisher: KIT Scientific Publishing
ISBN: 3731512513
Category : Technology & Engineering
Languages : en
Pages : 176

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Book Description
This work proposes a new numerical approach for analyzing the behavior of fiber-reinforced materials, which have gained popularity in various applications. The approach combines theories and methods to model the fracture behavior of the polymeric matrix and the embedded fibers separately, and includes a modified plasticity model that considers the temperature-dependent growth of voids. Tests are conducted to explore different types and sequences of failure in long fiber-reinforced polymers.

EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness

EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness PDF Author: Pfefferkorn, Robin
Publisher: KIT Scientific Publishing
ISBN: 3731512718
Category : Science
Languages : en
Pages : 218

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Book Description
Proposed in the early 1990s, the enhanced assumed strain (EAS) method is one of the probably most successful mixed finite element methods for solid mechanics. This cumulative dissertation gives a comprehensive overview of previous publications on that method and covers recent improvements for EAS elements. In particular, we describe three key issues of standard EAS elements and develop corresponding solutions.

Computational Contact Mechanics

Computational Contact Mechanics PDF Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 3211772987
Category : Science
Languages : en
Pages : 252

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Book Description
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Exergy Method

Exergy Method PDF Author: Jan Szargut
Publisher: WIT Press
ISBN: 1853127531
Category : Science
Languages : en
Pages : 189

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Book Description
The exergy method makes it possible to detect and quantify the possibilities of improving thermal and chemical processes and systems. The introduction of the concept thermo-ecological cost (cumulative consumption of non-renewable natural exergy resources) generated large application possibilities of exergy in ecology. This book contains a short presentation on the basic principles of exergy analysis and discusses new achievements in the field over the last 15 years. One of the most important issues considered by the distinguished author is the economy of non-renewable natural exergy. Previously discussed only in scientific journals, other important new problems highlighted include: calculation of the chemical exergy of all the stable chemical elements, global natural and anthropogenic exergy losses, practical guidelines for improvement of the thermodynamic imperfection of thermal processes and systems, development of the determination methods of partial exergy losses in thermal systems, evaluation of the natural mineral capital of the Earth, and the application of exergy for the determination of a pro-ecological tax.A basic knowledge of thermodynamics is assumed, and the book is therefore most appropriate for graduate students and engineers working in the field of energy and ecological management.

Statistical Mechanics of Lattice Systems

Statistical Mechanics of Lattice Systems PDF Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643

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Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Invariant Manifolds for Physical and Chemical Kinetics

Invariant Manifolds for Physical and Chemical Kinetics PDF Author: Alexander N. Gorban
Publisher: Springer Science & Business Media
ISBN: 9783540226840
Category : Science
Languages : en
Pages : 524

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Book Description
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.

A History of Thermodynamics

A History of Thermodynamics PDF Author: Ingo Müller
Publisher: Springer Science & Business Media
ISBN: 3540462279
Category : Science
Languages : en
Pages : 336

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Book Description
This book offers an easy to read, all-embracing history of thermodynamics. It describes the long development of thermodynamics, from the misunderstood and misinterpreted to the conceptually simple and extremely useful theory that we know today. Coverage identifies not only the famous physicists who developed the field, but also engineers and scientists from other disciplines who helped in the development and spread of thermodynamics as well.

Basics of Thermal Field Theory

Basics of Thermal Field Theory PDF Author: Mikko Laine
Publisher: Springer
ISBN: 3319319337
Category : Science
Languages : en
Pages : 288

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Book Description
This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments. It focuses on gauge interactions (whether weak or strong), which are essential in both contexts. As well as the many differences in the physics questions posed and in the microscopic forces playing a central role, the authors also explain the similarities and the techniques, such as the resummations, that are needed for developing a formally consistent perturbative expansion. The formalism is developed step by step, starting from quantum mechanics; introducing scalar, fermionic and gauge fields; describing the issues of infrared divergences; resummations and effective field theories; and incorporating systems with finite chemical potentials. With this machinery in place, the important class of real-time (dynamic) observables is treated in some detail. This is followed by an overview of a number of applications, ranging from the study of phase transitions and particle production rate computations, to the concept of transport and damping coefficients that play a ubiquitous role in current developments. The book serves as a self-contained textbook on relativistic thermal field theory for undergraduate and graduate students of theoretical high-energy physics.