Computational Methods in Elasticity and Plasticity

Author: A. Anandarajah
Publisher: Springer Science & Business Media
ISBN: 9781441963796
Format: PDF, Docs
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Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

Computational Plasticity for Finite Elements

Author: Michael Trapp
Publisher: Springer
ISBN: 3319772066
Format: PDF, ePub, Mobi
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This volume demonstrates the use of FORTRAN for numerical computing in the context of the finite element method. FORTRAN is still an important programming language for computational mechanics and all classical finite element codes are written in this language, some of them even offer an interface to link user-code to the main program. This feature is especially important for the development and investigation of new engineering structures or materials. Thus, this volume gives a simple introduction to programming of elasto-plastic material behavior, which is, for example, the prerequisite for implementing new constitutive laws into a commercial finite element program.

Modeling and Computing for Geotechnical Engineering

Author: M.S. Rahman
Publisher: CRC Press
ISBN: 0429760213
Format: PDF, ePub, Docs
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Modeling and computing is becoming an essential part of the analysis and design of an engineered system. This is also true "geotechnical systems", such as soil-foundations, earth dams and other soil structure systems. The general goal of ‘modeling and computing’ is to predict and understand the behaviour of the system subjected to a variety of possible conditions/scenarios (with respect to both external stimuli and system parameters), which provides the basis for a rational design of the system. The essence of this is to predict the response of the system to a set of external forces. The modelling and computing essentially involve the following three phases: (a) Idealization of the actual physical problem, (b) Formulation of a mathematical model represented by a set of equations governing the response of the system, and (c) Solution of the governing equations (often requiring numerical methods) and graphical representation of the numerical results. This book will introduce these phases. MATLAB® codes and MAPLE® worksheets are available for those who have bought the book. Please contact the author at [email protected] or [email protected] Kindly provide the invoice number and date of purchase.

Elasto Plasticity of Frame Structure Elements

Author: Andreas Öchsner
Publisher: Springer
ISBN: 3662442256
Format: PDF, Mobi
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The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.

IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials

Author: Wolfgang Ehlers
Publisher: Springer Science & Business Media
ISBN: 0306469537
Format: PDF, ePub, Mobi
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During the last decades, continuum mechanics of porous materials has achieved great attention, since it allows for the consideration of the volumetrically coupled behaviour of the solid matrix deformation and the pore-fluid flow. Naturally, applications of porous media models range from civil and environmental engineering, where, e. g. , geote- nical problems like the consolidation problem are of great interest, via mechanical engineering, where, e. g. , the description of sinter materials or polymeric and metallic foams is a typical problem, to chemical and biomechanical engineering, where, e. g. , the complex structure of l- ing tissues is studied. Although these applications are principally very different, they basically fall into the category of multiphase materials, which can be described, on the macroscale, within the framework of the well-founded Theory of Porous Media (TPM). With the increasing power of computer hardware together with the rapidly decreasing computational costs, numerical solutions of complex coupled problems became possible and have been seriously investigated. However, since the quality of the numerical solutions strongly depends on the quality of the underlying physical model together with the experimental and mathematical possibilities to successfully determine realistic material parameters, a successful treatment of porous materials requires a joint consideration of continuum mechanics, experimental mechanics and numerical methods. In addition, micromechanical - vestigations and homogenization techniques are very helpful to increase the phenomenological understanding of such media.

Analysis and Simulation of Multifield Problems

Author: Wolfgang L. Wendland
Publisher: Springer Science & Business Media
ISBN: 3540365273
Format: PDF, Docs
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The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany.

Extended Finite Element Method

Author: Amir R. Khoei
Publisher: John Wiley & Sons
ISBN: 1118869680
Format: PDF, ePub, Docs
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Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Multifield Problems in Solid and Fluid Mechanics

Author: Rainer Helmig
Publisher: Springer Science & Business Media
ISBN: 3540349618
Format: PDF, ePub, Docs
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This book gives an overview of the research projects within the SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik". The book is for researchers and graduate students in applied mechanics and civil engineering.

Graduate Programs in Engineering Applied Sciences 2008

Author: Peterson's
Publisher: Peterson's
ISBN: 9780768924039
Format: PDF, ePub
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Peterson's six-volume Graduate and Professional Programs is the trusted source for accurate, up-to-date graduate program information. With complete details on more than 44,000 master, doctoral, and first-professional degree programs in 476 disciplines at more than 2,000 accredited colleges and universities in the U.S. and Canada, this series is the perfect for students, acadmic advisors, administrators, researchers, scholars, professionals, and librarians.