Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics PDF Author: Y. Ben-Haim
Publisher: Elsevier
ISBN: 1483290972
Category : Mathematics
Languages : en
Pages : 240

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Book Description
Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.

Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics PDF Author: Y. Ben-Haim
Publisher: Elsevier
ISBN: 1483290972
Category : Mathematics
Languages : en
Pages : 240

Get Book Here

Book Description
Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.

Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics PDF Author: Yakov Ben-Haim
Publisher:
ISBN: 9780444417589
Category : Convex sets
Languages : en
Pages : 0

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Book Description


Advances in Applied Mechanics

Advances in Applied Mechanics PDF Author:
Publisher: Academic Press
ISBN: 0080564119
Category : Technology & Engineering
Languages : en
Pages : 385

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Book Description
Five articles on recent developments in solids and structures comprise Volume 33 of the Advances in Applied Mechanics. Each chapter is a mix of field survey and new work. The topics include structural reliability, failure modes of composites and thin films, the mechanics of micro-structural evolution, and strain gradient plasticity.

Mechanics of Geomaterial Interfaces

Mechanics of Geomaterial Interfaces PDF Author: A.P.S. Selvadurai
Publisher: Elsevier
ISBN: 0080544878
Category : Science
Languages : en
Pages : 569

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Book Description
The subject of geomaterial interfaces recognizes the important influences of the interface behaviour on the performance of interfaces involving cementaceous materials such as concrete and steel, ice-structure interfaces, concrete-rock interfaces and interfaces encountered in soil reinforcement. During the past two decades, the subject of geomaterial interfaces has attracted the concerted attention of scientists and engineers both in geomechanics and applied mechanics. These efforts have been largely due to the observation that the conventional idealizations of the behaviour of interfaces between materials by frictionless contact, bonded contact, Coulomb friction or finite friction tend to omit many interesting and important influences of special relevance to geomaterials. The significant manner in which non-linear effects, dilatancy, contact degradation, hardening and softening, etc., can influence the behaviour of the interface is borne out by experimental evidence. As a result, in many instances, the response of the interface can be the governing criterion in the performance of a geomechanics problem.The primary objective of this volume is to provide a documentation of recent advances in the area of geomaterial interfaces. The volume consists of subject groupings which cover ice-structure, soil-structure and steel-concrete interfaces, mechanics of rock and concrete joints and interfaces in discrete systems.

Civil Infrastructure Systems: Intelligent Renewal: Proceedings Of The Third International Symposium

Civil Infrastructure Systems: Intelligent Renewal: Proceedings Of The Third International Symposium PDF Author: Franco Maceri
Publisher: World Scientific
ISBN: 9814544647
Category : Technology & Engineering
Languages : en
Pages : 410

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Book Description
A civil infrastructure system (CIS) is better defined by its interactive effects and integration than by its individual components. It transports people and goods, delivers clean water, electric power, gas and liquid fuel, preserves the environment from pollution, facilitates communication and mitigates the impact of natural disasters.Infrastructure systems are networks and/or lifelines of which highways, airports, canals, dams, bridges, embankments, mass transit and telecommunication systems, etc. are important components.The increasing demand for CIS availability — while new constructions may be prevented from environmental considerations and, in Europe, from architectural motivations — requires the improvement of the existing CIS. In addition, recent natural disasters have demonstrated the fragility of these systems and the devastating degree of socio-economic loss that their failure can bring. These trends are common in most industrial countries. All these countries are in urgent need of cost-effective strategies for planning, design, construction, maintenance and retrofit of their respective CISs in order to enhance and sustain the current economic prosperity into the 21st century.

Stability of Structures by Finite Element Methods

Stability of Structures by Finite Element Methods PDF Author: Z. Waszczyszyn
Publisher: Elsevier
ISBN: 1483290557
Category : Technology & Engineering
Languages : en
Pages : 483

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Book Description
This book is the consequence of research undertaken by the authors in the field of advanced problems of structural mechanics. Stability analysis of structures comes under this area because of the complex models and computational methods needed for analysis. In the mid seventies, a joint effort began between a group of researchers and teachers of the Department of Civil Engineering and Computer Center of the Cracow University of Technology. One of the important results of the collaboration has been this publication.

Advances in Adaptive Computational Methods in Mechanics

Advances in Adaptive Computational Methods in Mechanics PDF Author: P. Ladeveze
Publisher: Elsevier
ISBN: 0080525938
Category : Computers
Languages : en
Pages : 539

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Book Description
Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas.Papers are selected from a Workshop (Cachan 17-19 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?

Modern Trends in Structural and Solid Mechanics 3

Modern Trends in Structural and Solid Mechanics 3 PDF Author: Noel Challamel
Publisher: John Wiley & Sons
ISBN: 1119831814
Category : Science
Languages : en
Pages : 306

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Book Description
This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Optimal Design with Advanced Materials

Optimal Design with Advanced Materials PDF Author: P. Pedersen
Publisher: Elsevier
ISBN: 0444600302
Category : Technology & Engineering
Languages : en
Pages : 528

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Book Description
Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.

Applied mechanics reviews

Applied mechanics reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400

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Book Description