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

Author: Schiebl, Mark Georg

Publisher: KIT Scientific Publishing

Published: 2022-01-18

Total Pages: 238

ISBN-13: 3731511177

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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

Multi-field modeling and simulation of fiber-reinforced polymers

Author: Schulte, Jonathan

Publisher: KIT Scientific Publishing

Published: 2023-03-27

Total Pages: 176

ISBN-13: 3731512513

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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

Author: Pfefferkorn, Robin

Publisher: KIT Scientific Publishing

Published: 2023-04-04

Total Pages: 218

ISBN-13: 3731512718

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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

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

Author: Ströhle, Timo

Publisher: KIT Scientific Publishing

Published: 2024-02-26

Total Pages: 174

ISBN-13: 3731513366

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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

Characterisation and modelling of PC/ABS blends

Author: Hund, Jonas

Publisher: KIT Scientific Publishing

Published: 2022-05-02

Total Pages: 238

ISBN-13: 3731511576

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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.


Port-Hamiltonian Systems Theory

Port-Hamiltonian Systems Theory

Author: Schaft Van Der

Publisher:

Published: 2014-06-13

Total Pages: 230

ISBN-13: 9781601987860

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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.


Computational Contact Mechanics

Computational Contact Mechanics

Author: Peter Wriggers

Publisher: Springer Science & Business Media

Published: 2008-04-01

Total Pages: 252

ISBN-13: 3211772987

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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.