Plastic Flow and Fracture in Solids

Plastic Flow and Fracture in Solids
Author: Tracy Yerkes Thomas
Publisher: Elsevier Science & Technology
Total Pages: 290
Release: 1961
Genre: Mathematics
ISBN:

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Plastic Flow and Fracture in Solids by Tracy Y Thomas

Plastic Flow and Fracture in Solids by Tracy Y Thomas
Author:
Publisher: Elsevier
Total Pages: 279
Release: 1961-01-01
Genre: Technology & Engineering
ISBN: 0080955118

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Topics in Fracture and Fatigue

Topics in Fracture and Fatigue
Author: A.S. Argon
Publisher: Springer Science & Business Media
Total Pages: 354
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461229340

Fracture in structural materials remains a vital consideration in engineering systems, affecting the reliability of machines throughout their lives. Impressive advances in both the theoretical understanding of fracture mechanisms and practical developments that offer possibilities of control have re-shaped the subject over the past four decades. The contributors to this volume, including some of the most prominent researchers in the field, give their long-range perspectives of the research on the fracture of solids and its achievements. The subjects covered in this volume include: statistics of brittle fracture, transition of fracture from brittle to ductile, mechanics and mechanisms of ductile separation of heterogenous solids, the crack tip environment in ductile fracture, and mechanisms and mechanics of fatigue. Materials considered range from the usual structural solids to composites. The chapters include both theoretical points of view and discussions of key experiments. Contributors include: from MIT, A.S. Argon, D.M. Parks; from Cambridge, M.F. Ashby; from U.C. Santa Barbara, A.G. Evans, R. McMeeking; from Glasgow, J. Hancock; from Harvard, J.W. Hutchinson, J.R. Rice; from Sheffield, K.J. Miller; from Brown, A. Needleman; from the Ecole des Mines, A. Pineau; from U.C. Berkeley, R. O. Ritchie; and from Copenhagen, V. Tvergaard.

The Physics of Deformation and Fracture of Polymers

The Physics of Deformation and Fracture of Polymers
Author: A. S. Argon
Publisher: Cambridge University Press
Total Pages: 535
Release: 2013-03-07
Genre: Science
ISBN: 0521821843

A physical, mechanism-based presentation of the plasticity and fracture of polymers, covering industrial scale applications through to nanoscale biofluidic devices.

Deformation and Fracture of Solid-State Materials

Deformation and Fracture of Solid-State Materials
Author: Sanichiro Yoshida
Publisher: Springer
Total Pages: 250
Release: 2014-11-17
Genre: Science
ISBN: 1493920987

This volume introduces a comprehensive theory of deformation and fracture to engineers and applied scientists. Here “comprehensive” means that the theory can describe all stages of deformation from elastic to plastic and plastic to fracturing stage on the same basis (equations). The comprehensive approach is possible because the theory is based on a fundamental physical principle called the local symmetry, or gauge invariance, as opposed to phenomenology. Professor Yoshida explains the gist of local symmetry (gauge invariance) intuitively so that engineers and applied physicists can digest it easily, rather than describing physical or mathematical details of the principle. The author also describes applications of the theory to practical engineering, such as nondestructive testing in particular, with the use of an optical interferometric technique called ESPI (Electronic Speckle-Pattern Interferometry).The book is not a manual of applications. Instead, it provides information on how to apply physical concepts to engineering applications.

Fracture, Plastic Flow and Structural Integrity in the Nuclear Industry

Fracture, Plastic Flow and Structural Integrity in the Nuclear Industry
Author: P. B. Hirsch
Publisher: CRC Press
Total Pages: 213
Release: 2019-11-11
Genre: Technology & Engineering
ISBN: 1000716988

This volume brings together the papers presented at the 7th Symposium organised by the Technical Advisory Group on Structural Integrity of Nuclear Plant (TAGS!) which was held at the TWI Conference Centre, Great Abington, UK on 29 April 1999. The Symposium, which marked 25 years of TAGSI and its predecessor, the Light Water Reactor Study Group (LWRSG), was dedicated to Sir Alan Cottrell FREng, FRS, whose impact on the fields of integrity, reliability and safety of engineering structures and components has been second to none.

Applied Mechanics of Solids

Applied Mechanics of Solids
Author: Allan F. Bower
Publisher: CRC Press
Total Pages: 820
Release: 2009-10-05
Genre: Science
ISBN: 1439802483

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o