Author: Silvio Levy | Size: 1.7 MB | Format:PDF | Quality:Original preprint | Publisher: Mathematical Sciences Research Institute Publications | Year: 1997-09-28 | pages: 185 | ISBN: 0521629624
Flavors of Geometry is a collection of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. It presents chapters by masters in their fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and many of the lectures are richly illustrated. The book includes bibiliographies and indexes to encourage further reading. It will be an influential resource for graduate students and advanced undergraduates in mathematics.
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Finite Element Analysis Of Reinforced Concrete Structures Under Monotonic Loads
Author: Hyo-Gyoung Kwak, Filip C. Filippou | Size: 1.03 MB | Format:PDF | Quality:Original preprint | Publisher: Department of Civil Engineering, University of California, Berkeley, California | Year: November 1990 | pages: 124 | ISBN: -
This study deals with the finite element analysis of the monotonic behavior of
reinforced concrete beams, slabs and beam-column joint subassemblages. It is assumed that
the behavior of these members can be described by a plane stress field. Concrete and
reinforcing steel are represented by separate material models which are combined together
with a model of the interaction between reinforcing steel and concrete through bond-slip to
describe the behavior of the composite reinforced concrete material. The material behavior of
concrete is described by two failure surfaces in the biaxial stress space and one failure surface
in the biaxial strain space. Concrete is assumed as a linear elastic material for stress states
which lie inside the initial yield surface. For stresses outside this surface the behavior of
concrete is described by a nonlinear orthotropic model, whose axes of orthotropy are parallel
to the principal strain directions. The concrete stress-strain relation is derived from equivalent
uniaxial relations in the axes of orthotropy. The behavior of cracked concrete is described by
a system of orthogonal cracks, which follow the principal strain directions and are thus
rotating during the load history. Crushing or cracking of concrete takes place when the strains
lie outside the ultimate surface in the biaxial strain space.
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Author: J. Toby Mottram, Christopher T. Shaw | Size: 9.92 MB | Format:PDF | Quality:Scanner | Publisher: Mcgraw Hill Book Co Ltd | Year: March 1996 | pages: 276 | ISBN: 0077090934, ISBN-13: 978-0077090937
Increasing use is being made of commercial software to demonstrate the applications of finite element theory to mechanical or structural design. This book is aimed at those who are new to using commercially available finite element software for mechanical or structural design and those who are contemplating using this software. It emphasizes the practicalities of modelling with commercial software rather than the theory of finite elements. A step-by-step approach is used to describe the analysis process and a series of teaching examples, using simple test cases and real engineering problems, are provided to complement this.
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Good scanned copy / Not searchable / Errata inside
While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindered the widespread implementation of these methods. Today, however, recent advances--many directly attributable to these authors--have allowed the development of the stability theory and abstract mathematics to useful tools.
Hybrid and Incompatible Finite Element Methods introduces these advances in the theory and applications of incompatible and multivariable finite element methods. After an overview of the variation formulation of finite element methods in solid mechanics, the authors discuss the fundamental theory and systematically demonstrate the theoretical foundations of incompatible elements and their application to different problems in the theory of elasticity. They also introduce new ideas in the development of hybrid finite elements, study the numerical stability of the hybrid and mixed element, and establish the theory of zero energy deformation modes. The final chapters, explore applications to fracture problems, present a bound analysis for fracture parameters, and demonstrate an implementation of a finite element analysis program.
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This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, (including both linear problems and nonlinear conservation laws). These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are applied to eliminate numerical oscillations. The methods were orginally designed to capture shock waves accurately, but are also useful tools for studying linear wave-progagation problems, particulary in heterogenous material. The methods studied are in the CLAWPACK software package. Source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
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1 - Ultimate Load Formula for Reinforced Concrete Wall Panels with Openings
Author :J. H. Doh, S. Fragomeni
Journal : Advances in Structural Engineering
Publisher : Multi Science Publishing
ISSN 1369-4332 (Print)
Issue Volume 9, Number 1 / February 2006, Pages 103-115
DOI 10.1260/136943306776232954
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2 - Direct Strut-and-Tie Model for Ultimate Shear Strength of Reinforced Concrete Structural Walls
Authors : Ji Yang Wang, Yi Lin Sun, Masanobu Sakashita
Journal : Advanced Materials Research
Volume : Advances in Civil Engineering, Volumes 255 - 260, page 89-93, May, 2011
Edited by : Jingying Zhao
Pages : 89-93
DOI 10.4028/www.scientific.net/AMR.255-260.89
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Engineered Rock Structures in Mining and Civil Construction
Author: Raghu N. Singh, Ajoy | Size: 180 MB | Format:PDF | Quality:Scanner | Publisher: Taylor & Francis | Year: 01/01/2006 | pages: 535 | ISBN: 9780415400138
The book collates and sifts a vast amount of literature on the design of structures in the mining and construction industries to synthesize a comprehensive text on the subject area. The focus is on the application of theory to practice and the book is richly illustrated with worked out examples. The presentation is lucid and based on the extensive professional, teaching and research experience of the authors. The text seeks to address the key issues of design of 'engineered' structures in or on rock. The book will serve as a standard text for undergraduate courses in mining, civil engineering and engineering geology.
Contents
* 1. Rock characterisation for rock mechanics design
* 2. Uniaxial testing of rock in compression
* 3. Tensile, triaxial and shear strength of rock
* 4. Time-dependent behaviour of rocks
* 5. Index properties of rocks
* 6. Large-scale in situ testing of rock mass
* 7. Evaluation of rock mass parameters by borehole testing
* 8. Measurement of stress in rock
* 9. Design of structures in rock
* 10. Stability of underground openings by mathematical modelling
* 11. Design and stability of pillars and associated structures
* 12. Design and stability of rib pillars and chain pillars in longwall mining
* 13. Structural stability of excavations in jointed rock
* 14. Supports in mining and tunnelling
* 15. Mining subsidence
* 16. Stability analysis of surface mining slopes
* 17. Risk analysis for design in geomechanics.
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Author: Wendy L. Martinez Angel R. Martinez | Size: 5 MB | Format:PDF | Quality:Original preprint | Publisher: CHAPMAN & HALL/CRC A CRC Press Company Boca Raton London New York Washington, D.C. | Year: 2002 | pages: 584 | ISBN: 1-58488-229-8
Computational statistics is a fascinating and relatively new field within statistics. While much of classical statistics relies on parameterized functions and related assumptions, the computational statistics approach is to let the
data tell the story. The advent of computers with their number-crunching capability, as well as their power to show on the screen two- and three dimensional structures, has made computational statistics available for any
data analyst to use. Computational statistics has a lot to offer the researcher faced with a file full of numbers. The methods of computational statistics can provide assistance
ranging from preliminary exploratory data analysis to sophisticated probability density estimation techniques, Monte Carlo methods, and powerful multi-dimensional visualization. All of this power and novel ways of
looking at data are accessible to researchers in their daily data analysis tasks.
One purpose of this book is to facilitate the exploration of these methods and approaches and to provide the tools to make of this, not just a theoretical exploration, but a practical one. The two main goals of this book are:
• To make computational statistics techniques available to a wide
range of users, including engineers and scientists, and
• To promote the use of MATLAB® by statisticians and other data
analysts.
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COMPUTATIONAL MATHEMATICS Models, Methods, and Analysis with MATLAB and MPI
Author: ROBERT E. WHITE | Size: 6.61 MB | Format:PDF | Quality:Original preprint | Publisher: CHAPMAN & HALL/CRC A CRC Press Company Boca Raton London New York Washington, D.C. | Year: 2004 | pages: 986 | ISBN: 1-58488-364-2
Computational science is a blend of applications, computations and mathematics.
It is a mode of scientific investigation that supplements the traditional laboratory and theoretical methods of acquiring knowledge. This is done by formulating mathematical models whose solutions are approximated by computer simulations. By making a sequence of adjustments to the model and subsequent computations one can gain some insights into the application area under consideration. This text attempts to illustrate this process as a method for scientific investigation. Each section of the first six chapters is motivated by a particular application, discrete or continuous model, numerical method,computer implementation and an assessment of what has been done.............
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