Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models
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Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models
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Author : Schröder, Bettina Anna Barbara
language : en
Publisher: kassel university press GmbH
Release Date : 2020-01-20
Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models written by Schröder, Bettina Anna Barbara and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Technology & Engineering categories.
The present thesis investigates the usage of higher order accurate time integrators together with appropriate error estimators for small and finite dynamic (visco)plasticity. Therefore, a general (visco)plastic problem is defined which serves as a basis to create closed-form solution strategies. A classical access towards small and finite (visco)plasticity is integrated into this concept. This approach is based on the idea, that the balance of linear momentum is formulated in a weak sense and the material laws are included indirectly. Thus, separate time discretizations are implemented and an appropriate coupling between them is necessary. Limitations for the usage of time integrators are the consequence. In contrast, an alternative multifield formulation is derived, adapting the principle of Jourdain. The idea is to assume that the balance of energy - taking into account a pseudopotential representing dissipative effects – resembles a rate-type functional, whose stationarity condition leads to the equations describing small or finite dynamic (visco)plasticity. Accordingly, the material laws and the balance of linear momentum can be solved on the same level and only one single time discretization has to be performed. A greater freedom in the choice of time integrators is obtained and the application of higher order accurate schemes - such as Newmark’s method, fully implicit as well as diagonally implicit Runge-Kutta schemes, and continuous as well as discontinuous Galerkin methods - is facilitated. An analysis and a comparison of the classical and the multifield formulation is accomplished by means of distinct examples. In this context, a dynamic benchmark problem is developed, which allows to focus on the effect of different time integrators. For this investigation, a variety of time discretization error estimators are formulated, evaluated, and compared.
Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models
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Author : Bettina Anna Barbara Schröder
language : en
Publisher:
Release Date : 2019-12-16
Consistent Higher Order Accurate Time Discretization Methods For Inelastic Material Models written by Bettina Anna Barbara Schröder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with categories.
Proceedings Of 8th Gacm Colloquium On Computational Mechanics
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Author : Tobias Gleim
language : en
Publisher: kassel university press GmbH
Release Date : 2019-09-04
Proceedings Of 8th Gacm Colloquium On Computational Mechanics written by Tobias Gleim and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Technology & Engineering categories.
This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.
Smoothed Particle Hydrodynamics
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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2003
Smoothed Particle Hydrodynamics written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
This is the first-ever book on smoothed particle hydrodynamics (SPH)and its variations, covering the theoretical background, numericaltechniques, code implementation issues, and many novel and interestingapplications.
Deformation And Failure In Metallic Materials
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Author : Kolumban Hutter
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Deformation And Failure In Metallic Materials written by Kolumban Hutter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.
This book is devoted to the deformation and failure in metallic materials, summarizing the results of a research programme financed by the "Deutsche Forschungsgemeinschaft". It presents the recent engineering as well as mathematical key aspects of this field for a broad community. Its main focus is on the constitutive behaviour as well as the damage and fracture of metallic materials, covering their mathematical foundation, modelling and numerics, but also relevant experiments and their verification.
Strong Stability Preserving Runge Kutta And Multistep Time Discretizations
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Author : Sigal Gottlieb
language : en
Publisher: World Scientific
Release Date : 2011
Strong Stability Preserving Runge Kutta And Multistep Time Discretizations written by Sigal Gottlieb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presents the other properties of these methods which make them desirable (such as low storage, small error coefficients, large linear stability domains). This book is valuable for both researchers studying the field of time-discretizations for PDEs, and the users of such methods.
Extreme Man Made And Natural Hazards In Dynamics Of Structures
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Author : Adnan Ibrahimbegovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-16
Extreme Man Made And Natural Hazards In Dynamics Of Structures written by Adnan Ibrahimbegovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-16 with Science categories.
This book provides a critical assessment of current knowledge and indicates new challenges which are brought about at present times by fighting man-made and natural hazards in transient analysis of structures. The latter concerns both permanently fixed structures, such as those built to protect people and/or sensitive storage material; or special structures, like bridges and tunnels; and moving structures such as trains, planes, ships or cars.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1948
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.
Erda Energy Research Abstracts
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Author : United States. Energy Research and Development Administration
language : en
Publisher:
Release Date : 1977-07
Erda Energy Research Abstracts written by United States. Energy Research and Development Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-07 with Energy conservation categories.
Erda Energy Research Abstracts
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Author : United States. Energy Research and Development Administration. Technical Information Center
language : en
Publisher:
Release Date : 1977
Erda Energy Research Abstracts written by United States. Energy Research and Development Administration. Technical Information Center and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Force and energy categories.