Handbook of Elasticity Solutions

This handbook is a collection of elasticity solutions. Many of the results presented here cannot be found in textbooks and are available in scientific articles only. Some of them were obtained in the closed form quite recently. The solutions have been thoroughly checked and reduced to a "user friendly" form. Every effort has been made to keep the book free of misprints. The theory of elasticity is a mature field and a large number of solutions are available. We had to make choices in selecting material for this book. The emphasis is made on results relevant to general solid mechanics and materials science applications. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity.

List of contents

1 Basic equations of elasticity.- 2 Point forces and systems of point forces in the three-dimensional space and half-space.- 3 Selected two-dimensional problems.- 4 Three-dimensional crack problems for the isotropic or transversely isotropic infinite solid.- 5 A crack in an infinite isotropic two-dimensional solid.- 6 A crack in an infinite anisotropic two-dimensional solid.- 7 Thermoelasticity.- 8 Contact problems.- 9 Eshelby's problem and related results.- 10 Elastic space containing a rigid ellipsoidal inclusion subjected to translation and rotation.- 11 Basic stress intensity factors (SIFs) and stress concentrations (2-D configurations).- Appendix A: Curvilinear coordinate systems.- Appendix B: Differential operators in curvilinear coordinate systems.- References.

Summary

This handbook is a collection of elasticity solutions. Many of the results presented here cannot be found in textbooks and are available in scientific articles only. Some of them were obtained in the closed form quite recently. The solutions have been thoroughly checked and reduced to a "user friendly" form. Every effort has been made to keep the book free of misprints. The theory of elasticity is a mature field and a large number of solutions are available. We had to make choices in selecting material for this book. The emphasis is made on results relevant to general solid mechanics and materials science applications. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity.

Product details

• Authors: Mark Kachanov, Mark L Kachanov, Mark L. Kachanov, Shafiro, B Shafiro, B. Shafiro, Boris Shafiro, I Tsukrov, I. Tsukrov, Igor Tsukrov
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 18.04.2005
• EAN: 9781402014727
• ISBN: 978-1-4020-1472-7
• No. of pages: 324
• Dimensions: 158 mm x 243 mm x 25 mm
• Weight: 685 g
• Illustrations: XIII, 324 p.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; B, Building, Construction, engineering, Building Construction and Design, Classical mechanics, Mathematical and Computational Engineering, Solid Mechanics, Theoretical and Applied Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Maths for engineers, Heating, lighting, ventilation, Engineering, Architectural, Buildings—Design and construction, Engineering Mechanics