Linear and Non-Linear Deformations of Elastic Solids /

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bendin...

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Main Authors: Roy, Arabinda, author, Bera, Rasajit Kumar, author
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Language:eng
Published: New York, NY : CRC Press, 2020
Subjects:
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author Roy, Arabinda, author
Bera, Rasajit Kumar, author
author_facet Roy, Arabinda, author
Bera, Rasajit Kumar, author
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description Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
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spelling KOHA-OAI-TEST:5590632020-12-19T17:21:09ZLinear and Non-Linear Deformations of Elastic Solids / Roy, Arabinda, author Bera, Rasajit Kumar, author New York, NY : CRC Press,2020engLinear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.Includes bibliographical references and indexSection I -- Linear Elasticity -- 1. Basic Fundamentals and an Overview -- 2. One or Two-Dimensional Singular Integral Equation in Contactand Crack and Method of Solution -- 3. Two-Dimensional Contact and Crack Problems in Isotropic Elastic Media: Complex Variable Technique -- 4. Two-Dimensional Contact and Crack Problems in Anisotropic Media -- 5. Complete Solution to Three-Dimensional Indentation and Crack Problems in Isotropic Elastic Media -- 6. Three-Dimensional Interface Crack in Isotropic and Anisotropic Elastic Media -- 7. Three-Dimensional Elliptic Indentation and Crack Problemin Piezoelectric Media -- 8. Crack-Microcrack Interaction and Crack and Punch in Plateand Layered Media -- 9. Weight Function Theory -- 10. Surface Displacement in an Elastic Half Space Due to an Earthquake Source on an Inclined Fault Plane -- 11. Earth Response to Uniform Self Similar Crack Motion -- 12. Growth of a Semi-infinite Crack at a Varying Velocity -- 13. Dynamic Response of Elliptical Footings -- 14. Two-Dimensional Low Frequency Scattering of Acoustic Waveby a Rough Surface -- 15. Scattering and Impact Response of Half Plane Crack in Transversely Isotropic and Isotropic Media -- 16. Scattering from an Elliptic Crack -- 17. Two-Dimensional Crack and Contact Problems - Transform Method -- 18. Effective Moduli of Elastic Inclusion and Inhomogeneity -- 19. Numerical Method in Elasto-Static and Elasto-Dynamic Crack Problems -- Section II Nonlinear Elasticity -- 20. Large Amplitude Free Vibration of Rotating NonhomogeneousBeams with Nonlinear Spring and Mass System -- 21. Stability of an Anisotropic Right-Angled Isosceles TriangularPlate Under Large Deflection -- 22. Large Amplitude Free Vibrations of Irregular Plates Using Complex Variable Technique -- 23. Large Amplitude Vibrations of Thin Elastic Plates Using Conformal Transformation -- 24. Large Deflection of a Circular Plate on an Elastic Foundation -- 25. A Modified Approach to the Nonlinear Analysis of Thin Elastic Plates -- 26. Large Amplitude Free Vibration of Parabolic Plates -- 27. Large Amplitude Free Vibration of Sandwich Parabolic Plates -- 28. Large Amplitude Vibration of Orthotropic Sandwich Elliptic Plates -- 29. Large Amplitude Vibration of Heated Orthotropic Sandwich Elliptic Plates -- 30. Stability Analysis of Thermal Bending and Buckling of Plates Due to Large Deflection -- 31. Stability of Thin Plates Due to Edge Thrust Under Large Deflections, Buckling Being Resisted by a Force Proportional to the Displacement -- 32. Large Deflection of Clamped Cylindrical Shell -- 33. Large Deflection of Heated Orthotropic Thin Cylindrical Shell -- 34. Nonlinear Vibration and Stability of an Orthotropic Sandwich Shell of Double Curvature with Orthotropic Core -- 35. Nonlinear Vibrations of a Heated Orthotropic Sandwich Shellof Double Curvature with Orthotropic Core -- 36. Nonlinear Vibration of Spherical Shells of Variable Thickness.Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.PSZJBLElastic solidsDeformations (Mechanics)URN:ISBN:9780367333652
spellingShingle Elastic solids
Deformations (Mechanics)
Roy, Arabinda, author
Bera, Rasajit Kumar, author
Linear and Non-Linear Deformations of Elastic Solids /
title Linear and Non-Linear Deformations of Elastic Solids /
title_full Linear and Non-Linear Deformations of Elastic Solids /
title_fullStr Linear and Non-Linear Deformations of Elastic Solids /
title_full_unstemmed Linear and Non-Linear Deformations of Elastic Solids /
title_short Linear and Non-Linear Deformations of Elastic Solids /
title_sort linear and non linear deformations of elastic solids
topic Elastic solids
Deformations (Mechanics)
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