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Probabilistic Mechanics Of Quasibrittle Structures
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Book Synopsis Probabilistic Mechanics of Quasibrittle Structures by : Zdenek P. Bazant
Download or read book Probabilistic Mechanics of Quasibrittle Structures written by Zdenek P. Bazant and published by Cambridge University Press. This book was released on 2017-05-25 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an experimentally validated probabilistic strength theory of structures made of concrete, composites, ceramics and other quasibrittle materials.
Book Synopsis Probabilistic Mechanics of Quasibrittle Structures: Strength by : Zdenek P. Bazant
Download or read book Probabilistic Mechanics of Quasibrittle Structures: Strength written by Zdenek P. Bazant and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probabilistic Size Effect in Fracture Mechanics of Quasibrittle Materials by : Sze-Dai Pang
Download or read book Probabilistic Size Effect in Fracture Mechanics of Quasibrittle Materials written by Sze-Dai Pang and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistics of safety factors and structural reliability has so far been generally regarded as independent of mechanics, but further progress requires the cumulative distribution function (cdf) of structural strength to be derived from the thermomechanics of bond breaks. The cdf of strength of quasibrittle structures of positive geometry is modelled as series coupling of representative volume elements (RVE), each of which is statistically represented by a hierarchical model, connecting to the nano-scale of atomic lattice. Based on Maxwell-Boltzmann distribution of thermal energies of atoms, the cdf of strength of a nano-scale connection is deduced from the stress dependence of the interatomic activation energy barriers, and is expressed as a function of absolute temperature and stress-duration (or loading rate). The power-law tail exponent, which is 1 on the atomistic scale, is raised by the hierarchical statistical model to exponent m = 10 to 50, representing the Weibull modulus on the structural scale. Its physical meaning is shown to be the minimum number of cuts needed to separate the hierarchical model into two separate parts, which should be equal to the number of dominant cracks needed to break the RVE, governed by the packing of inhomogeneities. On the RVE scale, the model yields a broad Gaussian core, onto which a short power-law tail of exponent m is grafted. The model predicts how the grafted cdf depends on T and t* and provides a physical proof that, on a large enough scale, quasibrittle structures must follow Weibull distribution with a zero threshold. Experimental histograms with kinks, which were previously thought to require the use of a finite threshold, are shown to be fitted much better by the present chain-of-RVEs model. For not too small structures, the model is also shown to be essentially a discrete equivalent of the previously developed nonlocal Weibull theory. The theory indicates the need to refine the reliability indices and identify the common errors in applying Weibull statistical theory to scatter and size effect of quasibrittle structures. Stochastic finite element method is proposed to conduct computer simulations of extreme value statistics, crucial for safe design of structures.
Book Synopsis Foundations of the Probabilistic Mechanics of Discrete Media by : D. R. Axelrad
Download or read book Foundations of the Probabilistic Mechanics of Discrete Media written by D. R. Axelrad and published by Pergamon. This book was released on 1984 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in the formulation of the behaviour of discrete media with the inclusion of microstructural effects. Although quantum mechanics have long been recognized as a stochastic theory, the introduction of probabilistic concepts and principles to classical mechanics has in general not been attempted. In this study the author takes the view that the significant field quantities of a discrete medium are random variables or functions of s ...
Book Synopsis Probabilities and Materials by : D. Breysse
Download or read book Probabilities and Materials written by D. Breysse and published by Springer Science & Business Media. This book was released on 1994 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered. This text attempts to present such material in a coherent and up-to-date form, and also defines the great tasks that must be tackled in coming years.
Book Synopsis Special Issue: Advances in Probabilistic Mechanics and Structural Reliability by : Dan M. Frangopol
Download or read book Special Issue: Advances in Probabilistic Mechanics and Structural Reliability written by Dan M. Frangopol and published by . This book was released on 2004 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quasibrittle Fracture Mechanics and Size Effect by : Jia-Liang Le
Download or read book Quasibrittle Fracture Mechanics and Size Effect written by Jia-Liang Le and published by Oxford University Press. This book was released on 2021-11-19 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many modern engineering structures are composed of brittle heterogenous, or quasibrittle, materials. These include concrete, composites, tough ceramics, rocks, cold asphalt mixtures, and many brittle materials at the microscale. Understanding the failure behavior of these materials is of paramount importance for improving the resilience and sustainability of various engineering structures including civil infrastructure, aircraft, ships, military armors, and microelectronic devices. Designed for graduate and upper-level undergraduate university courses, this textbook provides a comprehensive treatment of quasibrittle fracture mechanics. It includes a concise but rigorous examination of linear elastic fracture mechanics, which is the foundation of all fracture mechanics. It also covers the fundamental concepts of nonlinear fracture mechanics, and introduces more advanced concepts such as triaxial stress state in the fracture process zone, nonlocal continuum models, and discrete computational models. Finally, the book features extensive discussion of the various practical applications of quasibrittle fracture mechanics across different structures and engineering disciplines, and throughout includes exercises and problems for students to test their understanding.
Book Synopsis Probabilistic Methods in the Theory of Structures by : Isaac Elishakoff
Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by John Wiley & Sons. This book was released on 1983 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.
Book Synopsis Creep and Hygrothermal Effects in Concrete Structures by : Zdeněk P. Bažant
Download or read book Creep and Hygrothermal Effects in Concrete Structures written by Zdeněk P. Bažant and published by Springer. This book was released on 2018-01-17 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive treatise covers in detail practical methods of analysis as well as advanced mathematical models for structures highly sensitive to creep and shrinkage. Effective computational algorithms for century-long creep effects in structures, moisture diffusion and high temperature effects are presented. The main design codes and recommendations (including RILEM B3 and B4) are critically compared. Statistical uncertainty of century-long predictions is analyzed and its reduction by extrapolation is discussed, with emphasis on updating based on short-time tests and on long-term measurements on existing structures. Testing methods and the statistics of large randomly collected databases are critically appraised and improvements of predictions of multi-decade relaxation of prestressing steel, cyclic creep in bridges, cracking damage, etc., are demonstrated. Important research directions, such as nanomechanical and probabilistic modeling, are identified, and the need for separating the long-lasting autogenous shrinkage of modern concretes from the creep and drying shrinkage data and introducing it into practical prediction models is emphasized. All the results are derived mathematically and justified as much as possible by extensive test data. The theoretical background in linear viscoelasticity with aging is covered in detail. The didactic style makes the book suitable as a textbook. Everything is properly explained, step by step, with a wealth of application examples as well as simple illustrations of the basic phenomena which could alternate as homeworks or exams. The book is of interest to practicing engineers, researchers, educators and graduate students.
Book Synopsis Computational Modelling of Concrete Structures by : Günther Meschke
Download or read book Computational Modelling of Concrete Structures written by Günther Meschke and published by CRC Press. This book was released on 2018-01-31 with total page 1735 pages. Available in PDF, EPUB and Kindle. Book excerpt: The EURO-C conference series (Split 1984, Zell am See 1990, Innsbruck 1994, Badgastein 1998, St. Johann im Pongau 2003, Mayrhofen 2006, Schladming 2010, St. Anton am Arlberg 2014, and Bad Hofgastein 2018) brings together researchers and practising engineers concerned with theoretical, algorithmic and validation aspects associated with computational simulations of concrete and concrete structures. Computational Modelling of Concrete Structures reviews and discusses research advancements and the applicability and robustness of methods and models for reliable analysis of complex concrete, reinforced concrete and pre-stressed concrete structures in engineering practice. The contributions cover both computational mechanics and computational modelling aspects of the analysis and design of concrete and concrete structures: Multi-scale cement and concrete research: experiments and modelling Aging concrete: from very early ages to decades-long durability Advances in material modelling of plain concrete Analysis of reinforced concrete structures Steel-concrete interaction, fibre-reinforced concrete, and masonry Dynamic behaviour: from seismic retrofit to impact simulation Computational Modelling of Concrete Structures is of special interest to academics and researchers in computational concrete mechanics, as well as industry experts in complex nonlinear simulations of concrete structures.
Book Synopsis Probabilistic Methods in the Theory of Structures by : Isaac Elishakoff
Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multifaceted Uncertainty Quantification by : Isaac Elishakoff
Download or read book Multifaceted Uncertainty Quantification written by Isaac Elishakoff and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-09-23 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.
Book Synopsis Probabilistic Methods in the Theory of Structures by : Isaac Elishakoff
Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probabilistic Methods in the Theory of Structures by : Isaac Elishakoff
Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seminars in the Probabilistic Mechanics of Discrete Media by : David R. Axelrad
Download or read book Seminars in the Probabilistic Mechanics of Discrete Media written by David R. Axelrad and published by . This book was released on 1985 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Mechanics by : E.E. Gdoutos
Download or read book Recent Advances in Mechanics written by E.E. Gdoutos and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research. The topics covered in the book can be divided into three major themes: Mathematical methods in applied mechanics (nine papers), experimental mechanics (nine papers) and fracture mechanics (six papers). Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moiré, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.
Book Synopsis Scaling of Structural Strength by : Zdenek P. Bazant
Download or read book Scaling of Structural Strength written by Zdenek P. Bazant and published by Elsevier. This book was released on 2005-06-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with a leading-edge topic of great interest and importance, exemplifying the relationship between experimental research, material modeling, structural analysis and design. It focuses on the effect of structure size on structural strength and failure behaviour. Bazant's theory has found wide application to all quasibrittle materials, including rocks, ice, modern fiber composites and tough ceramics. The topic of energetic scaling, considered controversial until recently, is finally getting the attention it deserves, mainly as a result of Bazant's pioneering work. In this new edition an extra section of data and new appendices covering twelve new application developments are included. The first book to show the 'size effect' theory of structure size on strength Presents the principles and applications of Bazant's pioneering work on structural strength Revised edition with new material on topics including asymptotic matching, flexural strength of fiber-composite laminates, polymeric foam fractures and the design of reinforced concrete beams
