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Refinar búsquedaAdvances in Applied Mathematics and Global Optimization / SpringerLink (Online service) ; David Y. Gao ; Sherali, Hanif D (2009)
Título : Advances in Applied Mathematics and Global Optimization : In Honor of Gilbert Strang Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; David Y. Gao ; Sherali, Hanif D Editorial: Boston, MA : Springer US Fecha de publicación: 2009 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 17 Número de páginas: XXVIII, 520 p Il.: online resource ISBN/ISSN/DL: 978-0-387-75714-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics software Calculus of variations Mechanical engineering Variations and Optimal Control; Optimization Engineering Computational Numerical Analysis Mathematical Software Clasificación: 51 Matemáticas Resumen: The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory. Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering Nota de contenido: Maximum Flows and Minimum Cuts in the Plane -- Variational Principles and Residual Bounds for Nonpotential Equations -- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems -- Time—Frequency Analysis of Brain Neurodynamics -- Nonconvex Optimization for Communication Networks -- Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms -- Central Path Curvature and Iteration-Complexity for Redundant Klee—Minty Cubes -- Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization -- Quantum Computation and Quantum Operations -- Ekeland Duality as a Paradigm -- Global Optimization in Practice:State of the Art and Perspectives -- Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights -- Dualistic Riemannian Manifold Structure Induced from Convex Functions -- NMR Quantum Computing En línea: http://dx.doi.org/10.1007/978-0-387-75714-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33859 Advances in Applied Mathematics and Global Optimization : In Honor of Gilbert Strang [documento electrónico] / SpringerLink (Online service) ; David Y. Gao ; Sherali, Hanif D . - Boston, MA : Springer US, 2009 . - XXVIII, 520 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 17) .
ISBN : 978-0-387-75714-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics software Calculus of variations Mechanical engineering Variations and Optimal Control; Optimization Engineering Computational Numerical Analysis Mathematical Software Clasificación: 51 Matemáticas Resumen: The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory. Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering Nota de contenido: Maximum Flows and Minimum Cuts in the Plane -- Variational Principles and Residual Bounds for Nonpotential Equations -- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems -- Time—Frequency Analysis of Brain Neurodynamics -- Nonconvex Optimization for Communication Networks -- Multilevel (Hierarchical) Optimization: Complexity Issues, Optimality Conditions, Algorithms -- Central Path Curvature and Iteration-Complexity for Redundant Klee—Minty Cubes -- Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization -- Quantum Computation and Quantum Operations -- Ekeland Duality as a Paradigm -- Global Optimization in Practice:State of the Art and Perspectives -- Two-Stage Stochastic Mixed-Integer Programs: Algorithms and Insights -- Dualistic Riemannian Manifold Structure Induced from Convex Functions -- NMR Quantum Computing En línea: http://dx.doi.org/10.1007/978-0-387-75714-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33859 Ejemplares
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Título : An Introduction to the Mathematical Theory of Dynamic Materials Tipo de documento: documento electrónico Autores: Lurie, Konstantin A ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2007 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 15 Número de páginas: XVIII, 182 p Il.: online resource ISBN/ISSN/DL: 978-0-387-38280-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 An Introduction to the Mathematical Theory of Dynamic Materials [documento electrónico] / Lurie, Konstantin A ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XVIII, 182 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 15) .
ISBN : 978-0-387-38280-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 Ejemplares
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Título : Handbook of Applied Analysis Tipo de documento: documento electrónico Autores: Kyritsi-Yiallourou, Sophia Th ; SpringerLink (Online service) ; Papageorgiou, Nikolaos S Editorial: Boston, MA : Springer US Fecha de publicación: 2009 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 19 Número de páginas: XXIII, 793 p Il.: online resource ISBN/ISSN/DL: 978-0-387-78907-1 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Partial differential Game theory models Calculus of variations Modeling and Industrial Variations Optimal Control; Optimization Theory, Economics, Social Behav. Sciences Equations Ordinary Clasificación: 51 Matemáticas Resumen: Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines. This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. Unique features of the Handbook of Applied Analysis: • Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners; • Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations; • Serves as a complete guide to the theory of nonlinear analysis; • Includes numerous examples that demonstrate and expand upon the topics presented; • Suggests many directions for further research and study. In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working with nonlinear analysis Nota de contenido: Smooth and Nonsmooth Calculus -- Extremal Problems and Optimal Control -- Nonlinear Operators and Fixed Points -- Critical Point Theory and Variational Methods -- Boundary Value Problems#x2013;Hamiltonian Systems -- Multivalued Analysis -- Economic Equilibrium and Optimal Economic Planning -- Game Theory -- Uncertainty, Information, Decision Making -- Evolution Equations En línea: http://dx.doi.org/10.1007/b120946 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33878 Handbook of Applied Analysis [documento electrónico] / Kyritsi-Yiallourou, Sophia Th ; SpringerLink (Online service) ; Papageorgiou, Nikolaos S . - Boston, MA : Springer US, 2009 . - XXIII, 793 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 19) .
ISBN : 978-0-387-78907-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Partial differential Game theory models Calculus of variations Modeling and Industrial Variations Optimal Control; Optimization Theory, Economics, Social Behav. Sciences Equations Ordinary Clasificación: 51 Matemáticas Resumen: Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource for students and researchers in various scientific and mathematical disciplines. This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. Unique features of the Handbook of Applied Analysis: • Presents an accessible introduction to modern analysis, while still serving as a useful reference for researchers and practitioners; • Covers a large number of diverse topics: smooth and nonsmooth differential calculus, optimal control, fixed point theory, critical point theory, linear and nonlinear eigenvalue problems, nonlinear boundary value problems, set-valued analysis, game theory, stochastic analysis, and evolutionary equations; • Serves as a complete guide to the theory of nonlinear analysis; • Includes numerous examples that demonstrate and expand upon the topics presented; • Suggests many directions for further research and study. In this one volume, the reader can find many of the most important theoretical trends in nonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for every researcher working with nonlinear analysis Nota de contenido: Smooth and Nonsmooth Calculus -- Extremal Problems and Optimal Control -- Nonlinear Operators and Fixed Points -- Critical Point Theory and Variational Methods -- Boundary Value Problems#x2013;Hamiltonian Systems -- Multivalued Analysis -- Economic Equilibrium and Optimal Economic Planning -- Game Theory -- Uncertainty, Information, Decision Making -- Evolution Equations En línea: http://dx.doi.org/10.1007/b120946 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33878 Ejemplares
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Título : Markov Decision Processes With Their Applications Tipo de documento: documento electrónico Autores: Hu, Qiying ; SpringerLink (Online service) ; Yue, Wuyi Editorial: Boston, MA : Springer US Fecha de publicación: 2008 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 14 Número de páginas: XV, 297 p Il.: online resource ISBN/ISSN/DL: 978-0-387-36951-8 Idioma : Inglés (eng) Palabras clave: Mathematics Calculus of variations Operations research Management science Probabilities Industrial engineering Production Research, Science Probability Theory and Stochastic Processes Variations Optimal Control; Optimization Engineering Clasificación: 51 Matemáticas Resumen: Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters. Markov Decision Processes With Their Applications examines MDPs and their applications in the optimal control of discrete event systems (DESs), optimal replacement, and optimal allocations in sequential online auctions. The book presents four main topics that are used to study optimal control problems: *a new methodology for MDPs with discounted total reward criterion; *transformation of continuous-time MDPs and semi-Markov decision processes into a discrete-time MDPs model, thereby simplifying the application of MDPs; *MDPs in stochastic environments, which greatly extends the area where MDPs can be applied; *applications of MDPs in optimal control of discrete event systems, optimal replacement, and optimal allocation in sequential online auctions. This book is intended for researchers, mathematicians, advanced graduate students, and engineers who are interested in optimal control, operation research, communications, manufacturing, economics, and electronic commerce Nota de contenido: Discretetimemarkovdecisionprocesses: Total Reward -- Discretetimemarkovdecisionprocesses: Average Criterion -- Continuous Time Markov Decision Processes -- Semi-Markov Decision Processes -- Markovdecisionprocessesinsemi-Markov Environments -- Optimal control of discrete event systems: I -- Optimal control of discrete event systems: II -- Optimal replacement under stochastic Environments -- Optimalal location in sequential online Auctions En línea: http://dx.doi.org/10.1007/978-0-387-36951-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34146 Markov Decision Processes With Their Applications [documento electrónico] / Hu, Qiying ; SpringerLink (Online service) ; Yue, Wuyi . - Boston, MA : Springer US, 2008 . - XV, 297 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 14) .
ISBN : 978-0-387-36951-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Calculus of variations Operations research Management science Probabilities Industrial engineering Production Research, Science Probability Theory and Stochastic Processes Variations Optimal Control; Optimization Engineering Clasificación: 51 Matemáticas Resumen: Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters. Markov Decision Processes With Their Applications examines MDPs and their applications in the optimal control of discrete event systems (DESs), optimal replacement, and optimal allocations in sequential online auctions. The book presents four main topics that are used to study optimal control problems: *a new methodology for MDPs with discounted total reward criterion; *transformation of continuous-time MDPs and semi-Markov decision processes into a discrete-time MDPs model, thereby simplifying the application of MDPs; *MDPs in stochastic environments, which greatly extends the area where MDPs can be applied; *applications of MDPs in optimal control of discrete event systems, optimal replacement, and optimal allocation in sequential online auctions. This book is intended for researchers, mathematicians, advanced graduate students, and engineers who are interested in optimal control, operation research, communications, manufacturing, economics, and electronic commerce Nota de contenido: Discretetimemarkovdecisionprocesses: Total Reward -- Discretetimemarkovdecisionprocesses: Average Criterion -- Continuous Time Markov Decision Processes -- Semi-Markov Decision Processes -- Markovdecisionprocessesinsemi-Markov Environments -- Optimal control of discrete event systems: I -- Optimal control of discrete event systems: II -- Optimal replacement under stochastic Environments -- Optimalal location in sequential online Auctions En línea: http://dx.doi.org/10.1007/978-0-387-36951-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34146 Ejemplares
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Título : Mechanics of Material Forces Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Steinmann, Paul ; Maugin, Gérard A Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 11 Número de páginas: XVI, 338 p Il.: online resource ISBN/ISSN/DL: 978-0-387-26261-1 Idioma : Inglés (eng) Palabras clave: Materials science Mathematics Mathematical models Physics Computational intelligence Continuum mechanics Science Science, general Mathematics, Modeling and Industrial Mechanics of Methods in Intelligence Clasificación: 51 Matemáticas Resumen: In this single volume the reader will find all recent developments in one of the most promising and rapidly expanding branches of continuum mechanics, the mechanics of material forces. The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics. Audience This book is suitable for civil and mechanical engineers, physicists and applied mathematicians Nota de contenido: 4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques -- Material Forces in the Context of Biotissue Remodelling -- Numerical Aspects -- Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics -- Material Force Method. Continuum Damage & Thermo-Hyperelasticity -- Discrete Material Forces in the Finite Element Method -- Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation -- Dislocations & Peach-Koehler-Forces -- Self-Driven continuous Dislocations and Growth -- Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations -- Peach-Koehler Forces within the Theory of Nonlocal Elasticity -- Multiphysics & Microstructure -- On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics -- Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity -- A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress -- Fracture & Structural Optimization -- Teaching Fracture Mechanics Within the Theory of Strength-of-Materials -- Configurational Thermomech-Anics and Crack Driving Forces -- Structural Optimization by Material Forces -- On Structural Optimisation and Configurational Mechanics -- Path Integrals -- Configurational Forces and the Propagation of a Circular Crack in an Elastic Body -- Thermoplastic M Integral and Path Domain Dependence -- Delamination & Discontinuities -- Peeling Tapes -- Stability and Bifurcation with Moving Discontinuities -- On Fracture Modelling Based on Inverse Strong Discontinuities -- Interfaces & Phase Transition -- Maxwell’s Relation for Isotropic Bodies -- Driving Force in Simulation of Phase Transition Front Propagation -- Modeling of the Thermal Treatment of Steel With Phase Changes -- Plasticity & Damage -- Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics -- Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation -- Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces En línea: http://dx.doi.org/10.1007/b137232 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35095 Mechanics of Material Forces [documento electrónico] / SpringerLink (Online service) ; Steinmann, Paul ; Maugin, Gérard A . - Boston, MA : Springer US, 2005 . - XVI, 338 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 11) .
ISBN : 978-0-387-26261-1
Idioma : Inglés (eng)
Palabras clave: Materials science Mathematics Mathematical models Physics Computational intelligence Continuum mechanics Science Science, general Mathematics, Modeling and Industrial Mechanics of Methods in Intelligence Clasificación: 51 Matemáticas Resumen: In this single volume the reader will find all recent developments in one of the most promising and rapidly expanding branches of continuum mechanics, the mechanics of material forces. The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics. Audience This book is suitable for civil and mechanical engineers, physicists and applied mathematicians Nota de contenido: 4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques -- Material Forces in the Context of Biotissue Remodelling -- Numerical Aspects -- Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics -- Material Force Method. Continuum Damage & Thermo-Hyperelasticity -- Discrete Material Forces in the Finite Element Method -- Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation -- Dislocations & Peach-Koehler-Forces -- Self-Driven continuous Dislocations and Growth -- Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations -- Peach-Koehler Forces within the Theory of Nonlocal Elasticity -- Multiphysics & Microstructure -- On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics -- Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity -- A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress -- Fracture & Structural Optimization -- Teaching Fracture Mechanics Within the Theory of Strength-of-Materials -- Configurational Thermomech-Anics and Crack Driving Forces -- Structural Optimization by Material Forces -- On Structural Optimisation and Configurational Mechanics -- Path Integrals -- Configurational Forces and the Propagation of a Circular Crack in an Elastic Body -- Thermoplastic M Integral and Path Domain Dependence -- Delamination & Discontinuities -- Peeling Tapes -- Stability and Bifurcation with Moving Discontinuities -- On Fracture Modelling Based on Inverse Strong Discontinuities -- Interfaces & Phase Transition -- Maxwell’s Relation for Isotropic Bodies -- Driving Force in Simulation of Phase Transition Front Propagation -- Modeling of the Thermal Treatment of Steel With Phase Changes -- Plasticity & Damage -- Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics -- Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation -- Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces En línea: http://dx.doi.org/10.1007/b137232 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35095 Ejemplares
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