Applications of Differential Equations in Engineering and Mechanics
1. Auflage
Erschienen am 8. Januar 2019
830 Seiten
978-0-429-89434-3 (ISBN)
Beschreibung
This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory.
This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved.
All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.
This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved.
All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.
Rezensionen / Stimmen
"Another very unique and useful book by Prof. K. T. Chau, with elaborate and novel applications, modeling, examples and interpretations; enabling research into new frontiers."-- Ken P. Chong, George Washington University, USA
"This impressive and original treatment of mechanics applications is based on the underlying theme of differential equations. The applications range through a wide variety of topics, including structures, such as beams, plates and shells, turbulence, geophysical fluid flows, celestial and quantum mechanics and fracture. The book will be a great resource for students and researchers."
-- John Rudnicki, Northwestern University "Another very unique and useful book by Prof. K. T. Chau, with elaborate and novel applications, modeling, examples and interpretations; enabling research into new frontiers."
-- Ken P. Chong, George Washington University, USA
"This impressive and original treatment of mechanics applications is based on the underlying theme of differential equations. The applications range through a wide variety of topics, including structures, such as beams, plates and shells, turbulence, geophysical fluid flows, celestial and quantum mechanics and fracture. The book will be a great resource for students and researchers."
-- John Rudnicki, Northwestern University
Weitere Details
Auflage
1. Auflage
Sprache
Englisch
Verlagsort
London
Großbritannien
Verlagsgruppe
Taylor & Francis Ltd
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Reflowable
Illustrationen
17 Tables, black and white; 288 Line drawings, black and white; 11 Halftones, black and white; 293 Illustrations, black and white
Dateigröße
10,74 MB
ISBN-13
978-0-429-89434-3 (9780429894343)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Weitere Ausgaben
Person
Professor K.T. Chau is Chair Professor of Geotechnical Engineering and former Associate Dean (Research and Development) at the Hong Kong Polytechnic University, where he was awarded the "Teaching Excellence Award in 2012/2013" by the Department of Civil and Environmental Engineering. He is a Fellow of the Hong Kong Institution of Engineers and past President of the Hong Kong Society of Theoretical and Applied Mechanics. He is the Chairman of the Elasticity Committee of the Engineering Mechanics Division of ASCE, the Chairman of the TC103 Technical Committee of Numerical Methods on Geomechanics of International Society of Soil Mechanics and Geotechnical Engineering and the Chairman of the Geomechanics Committee of the Applied Mechanics Division of ASME. He is also the Vice President of the Hong Kong Institute of Science.
His book "Analytic Methods in Geomechanics" was published in 2013 by CRC Press, and it is the first book of its kind, covering, continuum mechanics, tensor analysis, 2-D elasticity, 3-D elasticity, plasticity, fracture mechanics, viscoelasticity, poroelasticity, and dynamics and waves in geomaterials. Since 2012, he has been teaching subjects called "Engineering Analysis" and "Engineering Analysis & Computation" at PolyU. They are mainly using differential equations in engineering analysis.
His book "Analytic Methods in Geomechanics" was published in 2013 by CRC Press, and it is the first book of its kind, covering, continuum mechanics, tensor analysis, 2-D elasticity, 3-D elasticity, plasticity, fracture mechanics, viscoelasticity, poroelasticity, and dynamics and waves in geomaterials. Since 2012, he has been teaching subjects called "Engineering Analysis" and "Engineering Analysis & Computation" at PolyU. They are mainly using differential equations in engineering analysis.
Inhalt
Theory of Beams and Columns. Theory of Plates. Theory of Shells. Structural Dynamics. Catenary and Cable Suspension Bridges. Nonlinear Buckling. Transports and Waves in Fluids. Geophysical Fluid Flows. Nonlinear Waves and Solitons. Mathematical Theory for Maxwell Equations. Quantum Mechanics and Schrodinger Equation. Celestial Mechanics. Fracture Mechanics and Dynamics.
