Simulation Of Elastic Plastic Material Behaviour With Uncertain Material Parameters
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Simulation Of Elastic Plastic Material Behaviour With Uncertain Material Parameters
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Author : Sebastian Fink
language : en
Publisher:
Release Date : 2015
Simulation Of Elastic Plastic Material Behaviour With Uncertain Material Parameters written by Sebastian Fink and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Multiaxial Probabilistic Elastic Plastic Constitutive Simulations Of Soils
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Author : Arezoo Sadrinezhad
language : en
Publisher:
Release Date : 2014
Multiaxial Probabilistic Elastic Plastic Constitutive Simulations Of Soils written by Arezoo Sadrinezhad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Civil engineering categories.
Fokker-Planck-Kolmogorov (FPK) equation approach has recently been developed to simulate elastic-plastic constitutive behaviors of materials with uncertain material properties. The FPK equation approach transforms the stochastic constitutive rate equation, which is a stochastic, nonlinear, ordinary differential equation (ODE) in the stress-pseudo time space into a second-order accurate, deterministic, linear FPK partial differential equation (PDE) in the probability density of stress-pseudo time space. This approach does not suffer from the drawbacks of the traditional approaches such as the Monte Carlo approach and the perturbation approach for solving nonlinear ODEs with random coefficients. In this study, the existing one dimensional FPK framework for probabilistic constitutive modeling of soils is extended to multi-dimension. However, the multivariate FPK PDEs cannot be solved using the traditional mathematical techniques such as finite difference techniques due to their high computational cost. Therefore, computationally efficient algorithms based on the Fourier spectral approach are developed for solving a class of FPK PDEs that arises in probabilistic elasto-plasticity. This class includes linear FPK PDEs in (stress) space and (pseudo) time--having space-independent but time-dependent, and both space- and time-dependent coefficients--with impulse initial conditions and reflecting boundary conditions. The solution algorithms, rely on first mapping the stress space of the governing PDE between 0 and 2[pi] using the change of coordinates rule, followed by approximating the solution of the PDE in the 2[pi]-periodic domain by a finite Fourier series in the stress space and unknown time-dependent solution coefficients. Finally, the time-dependent solution coefficients are obtained from the initial condition. The accuracy and efficiency of the developed algorithms are tested. The developed algorithms are used to simulate uniaxial and multiaxial, monotonic and cyclic constitutive behaviors of uncertain elasto-plastic soils. In particular, the effects of uncertainties in soil properties on constitutive behaviors of soils subjected to an unconfined compression test and to an unconsolidated undrained triaxial test are evaluated. To this end, the governing FPK equation of probabilistic elasto-plasticity is specialized to uniaxial stress space and to two dimensional principal stress space. Then, the specialized FPK PDEs are solved using the developed algorithms. Simulation results show that by considering soil uncertainties in the constitutive simulation, more realistic constitutive behavior can be ontained which agrees well with the principles of micromechanics. It is also observed that by explicit treatment to soil uncertainties, some of the important aspects of soil behaviors--for example, hardening and Bauschinger effect -- can be captured even with the simplest elastic-perfectly plastic von Mises (two-parameters) model.
Probabilistic Elasto Plasticity And Its Application In Finite Element Simulations Of Stochastic Elastic Plastic Boundary Value Problems
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Author : Kallol Sett
language : en
Publisher:
Release Date : 2007
Probabilistic Elasto Plasticity And Its Application In Finite Element Simulations Of Stochastic Elastic Plastic Boundary Value Problems written by Kallol Sett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Modelling Of Elastic Plastic Material Behaviour
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Author : J. P. Halleux
language : en
Publisher:
Release Date : 1981
Modelling Of Elastic Plastic Material Behaviour written by J. P. Halleux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Inference About The Plastic Behavior Of Materials From Experimental Data
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Author :
language : en
Publisher:
Release Date : 2004
Inference About The Plastic Behavior Of Materials From Experimental Data written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Key to understanding the uncertainties in a physics simulation code is the full characterization of the uncertainties in the physics submodels incorporated in it. I demonstrate an approach to the determining the parameters of material models in a simulation code that combines the principles of physics and probabilistic Bayesian analysis. The focus is on the parameters and their uncertainties in the simulation-code submodels, as well as the numerical errors introduced in solving the dynamical equations. Bayesian analysis provides the underpinning for quantifying the uncertainties in models inferred from experimental results, which possess their own degree of uncertainty. The aim is to construct an uncertainty model for the submodels that is based on inferences drawn from comparing the code's predictions to relevant experimental results. As an example, I will analyze a set of material-characterization experiments performed on tantalum to determine the parameters of the Preston-Tonks-Wallace model for plastic material behavior. I will indicate how data from a Taylor impact test may be used to update the parameters in the model by using Bayesian calibration in the context of a simulation code.
Safety Risk And Uncertainties In Transportation And Transit Systems
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Author : Akira Matsumoto
language : en
Publisher: Frontiers Media SA
Release Date : 2019-08-16
Safety Risk And Uncertainties In Transportation And Transit Systems written by Akira Matsumoto and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-16 with categories.
This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.
Model Validation And Uncertainty Quantification Volume 3
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Author : Zhu Mao
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Model Validation And Uncertainty Quantification Volume 3 written by Zhu Mao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Technology & Engineering categories.
Model Validation and Uncertainty Quantification, Volume 3: Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the third volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Model Validation and Uncertainty Quantification, including papers on: Inverse Problems and Uncertainty Quantification Controlling Uncertainty Validation of Models for Operating Environments Model Validation & Uncertainty Quantification: Decision Making Uncertainty Quantification in Structural Dynamics Uncertainty in Early Stage Design Computational and Uncertainty Quantification Tools
Uncertainty Quantification In Multiscale Materials Modeling
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Author : Yan Wang
language : en
Publisher: Woodhead Publishing
Release Date : 2020-03-10
Uncertainty Quantification In Multiscale Materials Modeling written by Yan Wang and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Technology & Engineering categories.
Uncertainty Quantification in Multiscale Materials Modeling provides a complete overview of uncertainty quantification (UQ) in computational materials science. It provides practical tools and methods along with examples of their application to problems in materials modeling. UQ methods are applied to various multiscale models ranging from the nanoscale to macroscale. This book presents a thorough synthesis of the state-of-the-art in UQ methods for materials modeling, including Bayesian inference, surrogate modeling, random fields, interval analysis, and sensitivity analysis, providing insight into the unique characteristics of models framed at each scale, as well as common issues in modeling across scales. Synthesizes available UQ methods for materials modeling Provides practical tools and examples for problem solving in modeling material behavior across various length scales Demonstrates UQ in density functional theory, molecular dynamics, kinetic Monte Carlo, phase field, finite element method, multiscale modeling, and to support decision making in materials design Covers quantum, atomistic, mesoscale, and engineering structure-level modeling and simulation
Multiscale Modeling And Uncertainty Quantification Of Materials And Structures
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Author : Manolis Papadrakakis
language : en
Publisher: Springer
Release Date : 2014-07-02
Multiscale Modeling And Uncertainty Quantification Of Materials And Structures written by Manolis Papadrakakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-02 with Science categories.
This book contains the proceedings of the IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures that was held at Santorini, Greece, September 9 – 11, 2013. It consists of 20 chapters which are divided in five thematic topics: Damage and fracture, homogenization, inverse problems–identification, multiscale stochastic mechanics and stochastic dynamics. Over the last few years, the intense research activity at micro scale and nano scale reflected the need to account for disparate levels of uncertainty from various sources and across scales. As even over-refined deterministic approaches are not able to account for this issue, an efficient blending of stochastic and multiscale methodologies is required to provide a rational framework for the analysis and design of materials and structures. The purpose of this IUTAM Symposium was to promote achievements in uncertainty quantification combined with multiscale modeling and to encourage research and development in this growing field with the aim of improving the safety and reliability of engineered materials and structures. Special emphasis was placed on multiscale material modeling and simulation as well as on the multiscale analysis and uncertainty quantification of fracture mechanics of heterogeneous media. The homogenization of two-phase random media was also thoroughly examined in several presentations. Various topics of multiscale stochastic mechanics, such as identification of material models, scale coupling, modeling of random microstructures, analysis of CNT-reinforced composites and stochastic finite elements, have been analyzed and discussed. A large number of papers were finally devoted to innovative methods in stochastic dynamics.
Multi Scale Simulation Of Composite Materials
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Author : Stefan Diebels
language : en
Publisher: Springer
Release Date : 2019-02-01
Multi Scale Simulation Of Composite Materials written by Stefan Diebels and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Science categories.
Due to their high stiffness and strength and their good processing properties short fibre reinforced thermoplastics are well-established construction materials. Up to now, simulation of engineering parts consisting of short fibre reinforced thermoplastics has often been based on macroscopic phenomenological models, but deformations, damage and failure of composite materials strongly depend on their microstructure. The typical modes of failure of short fibre thermoplastics enriched with glass fibres are matrix failure, rupture of fibres and delamination, and pure macroscopic consideration is not sufficient to predict those effects. The typical predictive phenomenological models are complex and only available for very special failures. A quantitative prediction on how failure will change depending on the content and orientation of the fibres is generally not possible, and the direct involvement of the above effects in a numerical simulation requires multi-scale modelling. One the one hand, this makes it possible to take into account the properties of the matrix material and the fibre material, the microstructure of the composite in terms of fibre content, fibre orientation and shape as well as the properties of the interface between fibres and matrix. On the other hand, the multi-scale approach links these local properties to the global behaviour and forms the basis for the dimensioning and design of engineering components. Furthermore, multi-scale numerical simulations are required to allow efficient solution of the models when investigating three-dimensional problems of dimensioning engineering parts. Bringing together mathematical modelling, materials mechanics, numerical methods and experimental engineering, this book provides a unique overview of multi-scale modelling approaches, multi-scale simulations and experimental investigations of short fibre reinforced thermoplastics. The first chapters focus on two principal subjects: the mathematical and mechanical models governing composite properties and damage description. The subsequent chapters present numerical algorithms based on the Finite Element Method and the Boundary Element Method, both of which make explicit use of the composite’s microstructure. Further, the results of the numerical simulations are shown and compared to experimental results. Lastly, the book investigates deformation and failure of composite materials experimentally, explaining the applied methods and presenting the results for different volume fractions of fibres. This book is a valuable resource for applied mathematics, theoretical and experimental mechanical engineers as well as engineers in industry dealing with modelling and simulation of short fibre reinforced composites.