Author:
Publisher: Elsevier
ISBN: 0080955118
Category : Technology & Engineering
Languages : en
Pages : 279
Book Description
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
Author:
Publisher: Elsevier
ISBN: 0080955118
Category : Technology & Engineering
Languages : en
Pages : 279
Book Description
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
Publisher: Elsevier
ISBN: 0080955118
Category : Technology & Engineering
Languages : en
Pages : 279
Book Description
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
Plastic Flow and Fracture in Solids
Author: Tracy Yerkes Thomas
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 290
Book Description
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
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 290
Book Description
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 (Volume 2).
Studies in Large Plastic Flow and Fracture
Author: Percy Williams Bridgman
Publisher: Cambridge : Harvard University Press
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 384
Book Description
Publisher: Cambridge : Harvard University Press
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 384
Book Description
Topics in Fracture and Fatigue
Author: A.S. Argon
Publisher: Springer Science & Business Media
ISBN: 1461229340
Category : Technology & Engineering
Languages : en
Pages : 354
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461229340
Category : Technology & Engineering
Languages : en
Pages : 354
Book Description
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.
Plastic Deformation and Fracture of Materials
Author: Robert W. Cahn
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 722
Book Description
Materials Science and Technology A Comprehensive Treatment Edited by R.W. Cahn, P. Haasen, E.J. Kramer The 18-volume series ‘Materials Science and Technology' is the first in-depth, topic-oriented reference work devoted to this growing interdisciplinary field. A compendium of current, state-of-the-art information, it covers the most important classes of materials: metals, ceramics, glasses, polymers, semiconductors, and composites, from the fundamentals of perfect semiconductors via the physics of defects to "artificial" and amorphous semiconductors. Edited by internationally renowned figures in materials science, this series is sure to establish itself as a seminal work. Volume 6: This volume focuses on the mechanisms of plastic deformation and fatigue affecting the properties and performance of a wide variety of materials. Topics included are: flow stress and work hardening • dislocation patterning • solid solution strengthening • particle strengthening • superplasticity • inelastic deformation • cyclic deformation • fracture mechanisms • friction and wear • high-temperature deformation and creep • deformation and textures of metals at large strains
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 722
Book Description
Materials Science and Technology A Comprehensive Treatment Edited by R.W. Cahn, P. Haasen, E.J. Kramer The 18-volume series ‘Materials Science and Technology' is the first in-depth, topic-oriented reference work devoted to this growing interdisciplinary field. A compendium of current, state-of-the-art information, it covers the most important classes of materials: metals, ceramics, glasses, polymers, semiconductors, and composites, from the fundamentals of perfect semiconductors via the physics of defects to "artificial" and amorphous semiconductors. Edited by internationally renowned figures in materials science, this series is sure to establish itself as a seminal work. Volume 6: This volume focuses on the mechanisms of plastic deformation and fatigue affecting the properties and performance of a wide variety of materials. Topics included are: flow stress and work hardening • dislocation patterning • solid solution strengthening • particle strengthening • superplasticity • inelastic deformation • cyclic deformation • fracture mechanisms • friction and wear • high-temperature deformation and creep • deformation and textures of metals at large strains
Theory of Flow and Fracture of Solids
Author: Arpád Nádai
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 604
Book Description
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 604
Book Description
Thermoelastic-plastic Flow and Ductile Fracture in Solids
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The main aim of these lectures is to develop the theory of elastic-plastic flow in solids, with application to a particular class of processes, namely those in which the dissipation of plastic work cannot be neglected. Examples of such processes are highspeed impact phenomena and cratering, shock compression, often shock release as well, and explosive deformation and welding. An important part of the development is to include the anisotropic elastic properties of a solid, and for this reason the theory applies to solids in general. On the other hand, it is possible that some of the results will have limited validity for nonmetals. The secondary aim of the lectures is to develop a general framework for ductile fracture, and describe the current practice in the field. Our theory is incremental in nature and suitable for integrating along a process in small timesteps as is done in ''hydrodynamic'' computer programs. A notational conflict arose, because in continuum mechanics the extensive quantities are taken per unit mass, while in thermodynamics they are usually per unit volume. The continuum mechanics normalization, i.e., per unit mass, is used throughout, with the result that uncommon factors of density show up in the thermodynamic equations.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The main aim of these lectures is to develop the theory of elastic-plastic flow in solids, with application to a particular class of processes, namely those in which the dissipation of plastic work cannot be neglected. Examples of such processes are highspeed impact phenomena and cratering, shock compression, often shock release as well, and explosive deformation and welding. An important part of the development is to include the anisotropic elastic properties of a solid, and for this reason the theory applies to solids in general. On the other hand, it is possible that some of the results will have limited validity for nonmetals. The secondary aim of the lectures is to develop a general framework for ductile fracture, and describe the current practice in the field. Our theory is incremental in nature and suitable for integrating along a process in small timesteps as is done in ''hydrodynamic'' computer programs. A notational conflict arose, because in continuum mechanics the extensive quantities are taken per unit mass, while in thermodynamics they are usually per unit volume. The continuum mechanics normalization, i.e., per unit mass, is used throughout, with the result that uncommon factors of density show up in the thermodynamic equations.
Elastic and Plastic Fracture
Author: Anthony G. Atkins
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 844
Book Description
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 844
Book Description