Multiaxial Probabilistic Elastic Plastic Constitutive Simulations Of Soils
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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.
Safety Reliability Risk And Life Cycle Performance Of Structures And Infrastructures
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Author : George Deodatis
language : en
Publisher: CRC Press
Release Date : 2014-02-10
Safety Reliability Risk And Life Cycle Performance Of Structures And Infrastructures written by George Deodatis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-10 with Technology & Engineering categories.
Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str
Hydro Environmental Analysis
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Author : James L. Martin
language : en
Publisher: CRC Press
Release Date : 2013-12-04
Hydro Environmental Analysis written by James L. Martin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Science categories.
Focusing on fundamental principles, Hydro-Environmental Analysis: Freshwater Environments presents in-depth information about freshwater environments and how they are influenced by regulation. It provides a holistic approach, exploring the factors that impact water quality and quantity, and the regulations, policy and management methods that are necessary to maintain this vital resource. It offers a historical viewpoint as well as an overview and foundation of the physical, chemical, and biological characteristics affecting the management of freshwater environments. The book concentrates on broad and general concepts, providing an interdisciplinary foundation. The author covers the methods of measurement and classification; chemical, physical, and biological characteristics; indicators of ecological health; and management and restoration. He also considers common indicators of environmental health; characteristics and operations of regulatory control structures; applicable laws and regulations; and restoration methods. The text delves into rivers and streams in the first half and lakes and reservoirs in the second half. Each section centers on the characteristics of those systems and methods of classification, and then moves on to discuss the physical, chemical, and biological characteristics of each. In the section on lakes and reservoirs, it examines the characteristics and operations of regulatory structures, and presents the methods commonly used to assess the environmental health or integrity of these water bodies. It also introduces considerations for restoration, and presents two unique aquatic environments: wetlands and reservoir tailwaters. Written from an engineering perspective, the book is an ideal introduction to the aquatic and limnological sciences for students of environmental science, as well as students of environmental engineering. It also serves as a reference for engineers and scientists involved in the management, regulation, or restoration of freshwater environments.
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.
Constitutive Laws For Engineering Materials
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Author : Chandrakant S. Desai
language : en
Publisher: Elsevier Publishing Company
Release Date : 1987
Constitutive Laws For Engineering Materials written by Chandrakant S. Desai and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Materials categories.
Soil Constitutive Models
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Author : Jerry A. Yamamuro
language : en
Publisher: Amer Society of Civil Engineers
Release Date : 2005-01
Soil Constitutive Models written by Jerry A. Yamamuro and has been published by Amer Society of Civil Engineers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01 with Technology & Engineering categories.
GSP 128 contains papers by 19 prominent constitutive modelers presented at the Geo-Frontier Conference, held in Austin, Texas, January 24-26, 2005.
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.
Crystal Plasticity Finite Element Methods
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Author : Franz Roters
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-04
Crystal Plasticity Finite Element Methods written by Franz Roters and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-04 with Technology & Engineering categories.
Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Geotechnical Abstracts
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Author :
language : en
Publisher:
Release Date : 1984
Geotechnical Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Soil Liquefaction
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Author : Michael Jefferies
language : en
Publisher: CRC Press
Release Date : 2006-09-04
Soil Liquefaction written by Michael Jefferies and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-04 with Science categories.
Soil liquefaction is a major concern in areas of the world subject to seismic activity or other repeated vibration loads. This book brings together a large body of information on the topic, and presents it within a unified and simple framework. The result is a book which will provide the practising civil engineer with a very sound understanding of