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Isogeometric Analysis And Hierarchical Refinement For Multi Field Contact Problems
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Book Synopsis Isogeometric Analysis and Hierarchical Refinement for Multi-field Contact Problems by : Maik Dittmann
Download or read book Isogeometric Analysis and Hierarchical Refinement for Multi-field Contact Problems written by Maik Dittmann and published by . This book was released on 2020-10-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work deals with multi-field contact problems in the context of IGA. In particular, a thermomechanical as well as a fracture mechanical system is considered, where novel formulations are introduced for both. The corresponding discrete contact formulations are based on a variationally consistent mortar approach adapted for NURBS discretized and hierarchical refined surfaces. Finally, the capabilities of the proposed framework are demonstrated within numerous numerical examples. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
Book Synopsis Isogeometric analysis and hierarchical refinement for multi-field contact problems by : Dittmann, Maik
Download or read book Isogeometric analysis and hierarchical refinement for multi-field contact problems written by Dittmann, Maik and published by KIT Scientific Publishing. This book was released on 2017-03-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work deals with multi-field contact problems in the context of IGA. In particular, a thermomechanical as well as a fracture mechanical system is considered, where novel formulations are introduced for both. The corresponding discrete contact formulations are based on a variationally consistent mortar approach adapted for NURBS discretized and hierarchical refined surfaces. Finally, the capabilities of the proposed framework are demonstrated within numerous numerical examples.
Book Synopsis Non-standard Discretisation Methods in Solid Mechanics by : Jörg Schröder
Download or read book Non-standard Discretisation Methods in Solid Mechanics written by Jörg Schröder and published by Springer Nature. This book was released on 2022-04-14 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume summarizes research being pursued within the DFG Priority Programme 1748: "Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis", the aim of which was to develop novel discretisation methods based e.g. on mixed finite element methods, isogeometric approaches as well as discontinuous Galerkin formulations, including a sound mathematical analysis for geometrically as well as physically nonlinear problems. The Priority Programme has established an international framework for mechanical and applied mathematical research to pursue open challenges on an inter-disciplinary level. The compiled results can be understood as state of the art in the research field and show promising ways of further research in the respective areas. The book is intended for doctoral and post-doctoral students in civil engineering, mechanical engineering, applied mathematics and physics, as well as industrial researchers interested in the field.
Book Synopsis Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity by : Janz, Alexander
Download or read book Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity written by Janz, Alexander and published by KIT Scientific Publishing. This book was released on 2019-07-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multi-field modeling and simulation of fiber-reinforced polymers by : Schulte, Jonathan
Download or read book Multi-field modeling and simulation of fiber-reinforced polymers written by Schulte, Jonathan and published by KIT Scientific Publishing. This book was released on 2023-03-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness by : Pfefferkorn, Robin
Download or read book EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness written by Pfefferkorn, Robin and published by KIT Scientific Publishing. This book was released on 2023-04-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations by : Ströhle, Timo
Download or read book Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations written by Ströhle, Timo and published by KIT Scientific Publishing. This book was released on 2024-02-26 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Characterisation and modelling of PC/ABS blends by : Hund, Jonas
Download or read book Characterisation and modelling of PC/ABS blends written by Hund, Jonas and published by KIT Scientific Publishing. This book was released on 2022-05-02 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC by : Schiebl, Mark Georg
Download or read book Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC written by Schiebl, Mark Georg and published by KIT Scientific Publishing. This book was released on 2022-01-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical methods for the inverse dynamics simulation of underactuated mechanical systems by : Yang, Yinping
Download or read book Numerical methods for the inverse dynamics simulation of underactuated mechanical systems written by Yang, Yinping and published by KIT Scientific Publishing. This book was released on 2017-05-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work deals with the inverse dynamics simulation of underactuated multibody systems. In particular, the study focuses on solving trajectory tracking control problems of differentially flat underactuated systems. The use of servo constraints provides an approach to formulate trajectory tracking control problems of underacutated systems, which are also called underactuated servo constraint problems.
Book Synopsis Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems by : Kerstin Weinberg
Download or read book Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems written by Kerstin Weinberg and published by Springer. This book was released on 2016-06-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.
Book Synopsis Modeling and Simulation in Engineering by : Jan Valdman
Download or read book Modeling and Simulation in Engineering written by Jan Valdman and published by BoD – Books on Demand. This book was released on 2020-12-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general aim of this book is to present selected chapters of the following types: chapters with more focus on modeling with some necessary simulation details and chapters with less focus on modeling but with more simulation details. This book contains eleven chapters divided into two sections: Modeling in Continuum Mechanics and Modeling in Electronics and Engineering. We hope our book entitled "Modeling and Simulation in Engineering - Selected Problems" will serve as a useful reference to students, scientists, and engineers.
Book Synopsis Isogeometric Analysis Based on Geometry Independent Field ApproximaTion (GIFT) and Polynomial Splines Over Hierarchical T-meshes by : Md Naim Hossain
Download or read book Isogeometric Analysis Based on Geometry Independent Field ApproximaTion (GIFT) and Polynomial Splines Over Hierarchical T-meshes written by Md Naim Hossain and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis addresses an adaptive higher-order method based on a Geometry Independent Field approximatTion(GIFT) of polynomial/rationals plines over hierarchical T-meshes(PHT/RHT-splines). In isogeometric analysis, basis functions used for constructing geometric models in computer-aided design(CAD) are also employed to discretize the partial differential equations(PDEs) for numerical analysis. Non-uniform rational B-Splines(NURBS) are the most commonly used basis functions in CAD. However, they may not be ideal for numerical analysis where local refinement is required. The alternative method GIFT deploys different splines for geometry and numerical analysis. NURBS are utilized for the geometry representation, while for the field solution, PHT/RHT-splines are used. PHT-splines not only inherit the useful properties of B-splines and NURBS, but also possess the capabilities of local refinement and hierarchical structure. The smooth basis function properties of PHT-splines make them suitable for analysis purposes. While most problems considered in isogeometric analysis can be solved efficiently when the solution is smooth, many non-trivial problems have rough solutions. For example, this can be caused by the presence of re-entrant corners in the domain. For such problems, a tensor-product basis (as in the case of NURBS) is less suitable for resolving the singularities that appear since refinement propagates throughout the computational domain. Hierarchical bases and local refinement (as in the case of PHT-splines) allow for a more efficient way to resolve these singularities by adding more degrees of freedom where they are necessary. In order to drive the adaptive refinement, an efficient recovery-based error estimator is proposed in this thesis. The estimator produces a recovery solution which is a more accurate approximation than the computed numerical solution. Several two- and three-dimensional numerical investigations with PHT-splines of higher order and continuity prove that the proposed method is capable of obtaining results with higher accuracy, better convergence, fewer degrees of freedom and less computational cost than NURBS for smooth solution problems. The adaptive GIFT method utilizing PHT-splines with the recovery-based error estimator is used for solutions with discontinuities or singularities where adaptive local refinement in particular domains of interest achieves higher accuracy with fewer degrees of freedom. This method also proves that it can handle complicated multi-patch domains for two- and three-dimensional problems outperforming uniform refinement in terms of degrees of freedom and computational cost.
Book Synopsis Isogeometric Analysis and Applications 2018 by : Harald van Brummelen
Download or read book Isogeometric Analysis and Applications 2018 written by Harald van Brummelen and published by Springer Nature. This book was released on 2021-01-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.
Book Synopsis IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 by : Robin Bouclier
Download or read book IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2023-07-26 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, almost twenty years after its creation, substantial works are being reported in IGA, making it very competitive in scientific computing. This book proposes to use IGA jointly with standard finite element methods (FEM), presenting IGA as a projection of FEM on a more regular reduced basis. By shedding new light on how IGA relates to FEM, we can see how IGA can be implemented on top of an FE code in order to improve the solution of problems that require more regularity. This is illustrated by using IGA with FEM in a non-invasive fashion to perform efficient and robust multiscale global/local simulations in solid mechanics. Furthermore, we show that IGA can regularize the inverse problem of FE digital image correlation in experimental mechanics.
Book Synopsis Advancement of Optical Methods in Experimental Mechanics, Volume 3 by : Sanichiro Yoshida
Download or read book Advancement of Optical Methods in Experimental Mechanics, Volume 3 written by Sanichiro Yoshida and published by Springer. This book was released on 2016-09-07 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advancement of Optical Methods in Experimental Mechanics, Volume 3 of the Proceedings of the 2016 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the third volume of ten from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of optical methods ranging from traditional photoelasticity and interferometry to more recent DIC and DVC techniques, and includes papers in the following general technical research areas: Advances in Digital Image Correlation Challenging Applications of DIC Uncertainty Analysis & Improvements to DIC Accuracy Photoelasticity, Interferometry, & Moire Methods Applications of Stereovision Inverse Methods at High Strain Rates Inverse Methods in Plasticity
Book Synopsis Advanced Methods of Continuum Mechanics for Materials and Structures by : Konstantin Naumenko
Download or read book Advanced Methods of Continuum Mechanics for Materials and Structures written by Konstantin Naumenko and published by Springer. This book was released on 2016-05-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.
