Ebook: Mathematical Methods in Electro-Magneto-Elasticity
- Tags: Continuum Mechanics and Mechanics of Materials, Magnetism Magnetic Materials, Materials Science, Appl.Mathematics/Computational Methods of Engineering, Physics and Applied Physics in Engineering
- Series: Lecture Notes in Applied and Computational Mechanics 32
- Year: 2007
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.
This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.
The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.
This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.
The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.
This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.
Content:
Front Matter....Pages I-8
Physical Fields in Solid Bodies....Pages 9-61
Basic Equations of the Linear Electroelasticity....Pages 63-83
Static Problems of Electroelasticity for Bimorphs with Stress Concentrators....Pages 85-127
Diffraction of a Shear Wave on Tunnel Cracks in Media of Various Configurations (Antiplane Deformation)....Pages 129-180
Scattering of a Shear Wave by Cylindrical Inhomogeneities in Piezoceramic Media of Various Configurations (Antiplane Deformation)....Pages 181-228
Mixed Dynamic Problems of Electroelasticity for Piezoelectric Bodies with Surface Electrodes....Pages 229-300
Harmonic Oscillations of Continuous Piezoceramic Cylinders with Inner Defects (Antiplane Deformation)....Pages 301-332
Electroacoustic Waves in Piezoceramic Media with Defects (Plane Deformation)....Pages 333-372
Fundamentals of Magnetoelasticity....Pages 373-388
Influence of the Induced Currents on the Dynamic Intensity of Piecewise-Uniform Electro-Conductive Bodies in Magnetic Fields....Pages 389-440
Influence of Magnetizability of Material on the Stress State of a Ferromagnetic Medium with Heterogeneities....Pages 441-464
Optimal Control of Physical Fields in Piezoelectric Bodies with Defects....Pages 465-508
Back Matter....Pages 517-530
The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. It integrates the Mechanics of Continuous Media, Heat Conductivity and the theory of Electromagnetism that are usually studied seperately. For an accurate description of the influence of static and dynamic loadings, high temperatures and strong electromagneticfields in elastic media and constructive installations, a new aproach is required; an approach that has the potential to establish a synergism between the above-mentioned fields. Throughout the book a vast number of problems are considered: two-dimensional problems of electro-magneto-elasticity as well as static and dynamical problems for piecewise homogenous compound piezoelectric plates weakened by cracks and openings. The boundary conditions, the constuctive equations and the mathematical methods for their solution are thoroughly presented, so that the reader can get a clear quantative and qualitative understnding of the phenomena taking place.
This book is for the specialists in Continuous Mechanics, Acoustics and Defectoscopy, and also for advanced undergraduate and graduate -level students in Applied Mathematics, Physics, Engineering Mechanics and Physical Sciences.
Content:
Front Matter....Pages I-8
Physical Fields in Solid Bodies....Pages 9-61
Basic Equations of the Linear Electroelasticity....Pages 63-83
Static Problems of Electroelasticity for Bimorphs with Stress Concentrators....Pages 85-127
Diffraction of a Shear Wave on Tunnel Cracks in Media of Various Configurations (Antiplane Deformation)....Pages 129-180
Scattering of a Shear Wave by Cylindrical Inhomogeneities in Piezoceramic Media of Various Configurations (Antiplane Deformation)....Pages 181-228
Mixed Dynamic Problems of Electroelasticity for Piezoelectric Bodies with Surface Electrodes....Pages 229-300
Harmonic Oscillations of Continuous Piezoceramic Cylinders with Inner Defects (Antiplane Deformation)....Pages 301-332
Electroacoustic Waves in Piezoceramic Media with Defects (Plane Deformation)....Pages 333-372
Fundamentals of Magnetoelasticity....Pages 373-388
Influence of the Induced Currents on the Dynamic Intensity of Piecewise-Uniform Electro-Conductive Bodies in Magnetic Fields....Pages 389-440
Influence of Magnetizability of Material on the Stress State of a Ferromagnetic Medium with Heterogeneities....Pages 441-464
Optimal Control of Physical Fields in Piezoelectric Bodies with Defects....Pages 465-508
Back Matter....Pages 517-530
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