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Full 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.
Contents
Section I Linear Elasticity 1. Basic Fundamentals and an Overview 2. One or Two-Dimensional Singular Integral Equation in Contact and 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 Problem in Piezoelectric Media 8. Crack-Microcrack Interaction and Crack and Punch in Plate and 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 Wave by 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 Nonhomogeneous Beams with Nonlinear Spring and Mass System 21. Stability of an Anisotropic Right-Angled Isosceles Triangular Plate 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 Shell of Double Curvature with Orthotropic Core 36. Nonlinear Vibration of Spherical Shells of Variable Thickness
