Structure Preserving Space Time Discretization In A Mixed Framework For Multi Field Problems In Large Strain Elasticity

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

Author : Schiebl, Mark Georg
Publisher : KIT Scientific Publishing
Page : 238 pages
File Size : 44,6 Mb
Release : 2022-01-18
Category : Technology & Engineering
ISBN : 9783731511175

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Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC by Schiebl, Mark Georg Pdf

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.

Multi-field modeling and simulation of fiber-reinforced polymers

Author : Schulte, Jonathan
Publisher : KIT Scientific Publishing
Page : 176 pages
File Size : 45,8 Mb
Release : 2023-03-27
Category : Technology & Engineering
ISBN : 9783731512516

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Multi-field modeling and simulation of fiber-reinforced polymers by Schulte, Jonathan Pdf

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

Author : Pfefferkorn, Robin
Publisher : KIT Scientific Publishing
Page : 218 pages
File Size : 46,6 Mb
Release : 2023-04-04
Category : Science
ISBN : 9783731512714

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EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness by Pfefferkorn, Robin Pdf

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.

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

Author : Ströhle, Timo
Publisher : KIT Scientific Publishing
Page : 174 pages
File Size : 49,5 Mb
Release : 2024-02-26
Category : Electronic
ISBN : 9783731513360

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

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.

Characterisation and modelling of PC/ABS blends

Author : Hund, Jonas
Publisher : KIT Scientific Publishing
Page : 238 pages
File Size : 41,7 Mb
Release : 2022-05-02
Category : Technology & Engineering
ISBN : 9783731511571

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Characterisation and modelling of PC/ABS blends by Hund, Jonas Pdf

The present work deals with the characterisation and multi-scale modelling of the large-strain response of ternary polymer blends. In a homogenised constitutive modelling approach, particularly the deformation behaviour featuring plastic dilatancy is investigated. Concerning the micromechanical modelling, constitutive models are proposed for the blends' individual phases and compared regarding their capabilities to capture the composition-dependent fracture toughness in unit cell models.

Applied Mechanics Reviews

Author : Anonim
Publisher : Unknown
Page : 988 pages
File Size : 47,8 Mb
Release : 1995
Category : Mechanics, Applied
ISBN : UCSD:31822023024888

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Applied Mechanics Reviews by Anonim Pdf

The Variational Approach to Fracture

Author : Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 41,8 Mb
Release : 2008-04-19
Category : Technology & Engineering
ISBN : 9781402063954

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The Variational Approach to Fracture by Blaise Bourdin,Gilles A. Francfort,Jean-Jacques Marigo Pdf

Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

Computational Contact Mechanics

Author : Peter Wriggers,Tod A. Laursen
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 41,5 Mb
Release : 2008-04-01
Category : Science
ISBN : 9783211772980

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Computational Contact Mechanics by Peter Wriggers,Tod A. Laursen Pdf

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.

Port-Hamiltonian Systems Theory

Author : Schaft Van Der,Arjan van der Schaft,Dimitri Jeltsema
Publisher : Unknown
Page : 230 pages
File Size : 42,6 Mb
Release : 2014-06-13
Category : Technology & Engineering
ISBN : 1601987862

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Port-Hamiltonian Systems Theory by Schaft Van Der,Arjan van der Schaft,Dimitri Jeltsema Pdf

Port-Hamiltonian Systems Theory: An Introductory Overview provides a concise and easily accessible description of the foundations underpinning the subject and emphasizes novel developments in the field, which will be of interest to a broad range of researchers.

Approximation of Free-Discontinuity Problems

Author : Andrea Braides
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 50,8 Mb
Release : 1998-09-17
Category : Mathematics
ISBN : 3540647716

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Approximation of Free-Discontinuity Problems by Andrea Braides Pdf

Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

Computational Fluid-Structure Interaction

Author : Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar
Publisher : John Wiley & Sons
Page : 444 pages
File Size : 47,9 Mb
Release : 2013-01-25
Category : Technology & Engineering
ISBN : 9781118483572

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Computational Fluid-Structure Interaction by Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar Pdf

Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

Nonlinear Continuum Mechanics for Finite Element Analysis

Author : Javier Bonet,Richard D. Wood
Publisher : Cambridge University Press
Page : 272 pages
File Size : 55,5 Mb
Release : 1997-09-28
Category : Mathematics
ISBN : 052157272X

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Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet,Richard D. Wood Pdf

A unified treatment of nonlinear continuum analysis and finite element techniques.

Numerical Methods in Contact Mechanics

Author : Vladislav A. Yastrebov
Publisher : John Wiley & Sons
Page : 303 pages
File Size : 40,8 Mb
Release : 2013-02-13
Category : Mathematics
ISBN : 9781118648056

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Numerical Methods in Contact Mechanics by Vladislav A. Yastrebov Pdf

Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems. This book covers all the basic ingredients of contact and computational contact mechanics: from efficient contact detection algorithms and classical optimization methods to new developments in contact kinematics and resolution schemes for both sequential and parallel computer architectures. The book is self-contained and intended for people working on the implementation and improvement of contact algorithms in a finite element software. Using a new tensor algebra, the authors introduce some original notions in contact kinematics and extend the classical formulation of contact elements. Some classical and new resolution methods for contact problems and associated ready-to-implement expressions are provided. Contents: 1. Introduction to Computational Contact. 2. Geometry in Contact Mechanics. 3. Contact Detection. 4. Formulation of Contact Problems. 5. Numerical Procedures. 6. Numerical Examples. About the Authors Vladislav A. Yastrebov is a postdoctoral-fellow in Computational Solid Mechanics at MINES ParisTech in France. His work in computational contact mechanics was recognized by the CSMA award and by the Prix Paul Caseau of the French Academy of Technology and Electricité de France.