Ebook: 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 ava- able. 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 appli- tions. Solutions related to structural mechanics (beams, plates, shells, etc.) are left out. The content is limited to the linear elasticity. We are grateful to B. Nuller for several clarifications concerning the contact pr- lem and to V. Levin for suggestions on Eshelby's problem. We also appreciate a n- ber of remarks and comments made by L. Germanovich, I. Sevostianov, O. Zharii and R. Zimmerman. We are particularly indebted to E. Karapetian for a substantial help in putting the material together.

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This Handbook is intended as a desk reference for researchers, students and engineers working in various areas of solid mechanics and quantitative materials science. It contains a broad range of elasticity solutions. In particular, it covers the following topics:

-Basic equations in various coordinate systems,
-Green's functions for isotropic and anisotropic solids,
-Cracks in two- and three-dimensional solids,
-Eshelby's problems and related results,
-Stress concentrations at inhomogeneities,
-Contact problems,
-Thermoelasticity.

The solutions have been collected from a large number of monographs and research articles. Some of the presented results were obtained only recently and are not easily available. All solutions have been thoroughly checked and transformed to a userfriendly form.

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This Handbook is intended as a desk reference for researchers, students and engineers working in various areas of solid mechanics and quantitative materials science. It contains a broad range of elasticity solutions. In particular, it covers the following topics:

-Basic equations in various coordinate systems,
-Green's functions for isotropic and anisotropic solids,
-Cracks in two- and three-dimensional solids,
-Eshelby's problems and related results,
-Stress concentrations at inhomogeneities,
-Contact problems,
-Thermoelasticity.

The solutions have been collected from a large number of monographs and research articles. Some of the presented results were obtained only recently and are not easily available. All solutions have been thoroughly checked and transformed to a userfriendly form.
Content:
Front Matter....Pages i-xiii
Basic equations of elasticity....Pages 1-25
Point forces and systems of point forces in the three-dimensional space and half-space....Pages 27-52
Selected two-dimensional problems....Pages 53-75
Three-dimensional crack problems for the isotropic or transversely isotropic infinite solid....Pages 77-129
A crack in an infinite isotropic two-dimensional solid....Pages 131-140
A crack in an infinite anisotropic two-dimensional solid....Pages 141-154
Thermoelasticity....Pages 155-183
Contact problems....Pages 185-229
Eshelby’s problem and related results....Pages 231-270
Elastic space containing a rigid ellipsoidal inclusion subjected to translation and rotation....Pages 271-282
Basic stress intensity factors (SIFs) and stress concentrations (2-D configurations)....Pages 283-303
Back Matter....Pages 305-324

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This Handbook is intended as a desk reference for researchers, students and engineers working in various areas of solid mechanics and quantitative materials science. It contains a broad range of elasticity solutions. In particular, it covers the following topics:

-Basic equations in various coordinate systems,
-Green's functions for isotropic and anisotropic solids,
-Cracks in two- and three-dimensional solids,
-Eshelby's problems and related results,
-Stress concentrations at inhomogeneities,
-Contact problems,
-Thermoelasticity.

The solutions have been collected from a large number of monographs and research articles. Some of the presented results were obtained only recently and are not easily available. All solutions have been thoroughly checked and transformed to a userfriendly form.
Content:
Front Matter....Pages i-xiii
Basic equations of elasticity....Pages 1-25
Point forces and systems of point forces in the three-dimensional space and half-space....Pages 27-52
Selected two-dimensional problems....Pages 53-75
Three-dimensional crack problems for the isotropic or transversely isotropic infinite solid....Pages 77-129
A crack in an infinite isotropic two-dimensional solid....Pages 131-140
A crack in an infinite anisotropic two-dimensional solid....Pages 141-154
Thermoelasticity....Pages 155-183
Contact problems....Pages 185-229
Eshelby’s problem and related results....Pages 231-270
Elastic space containing a rigid ellipsoidal inclusion subjected to translation and rotation....Pages 271-282
Basic stress intensity factors (SIFs) and stress concentrations (2-D configurations)....Pages 283-303
Back Matter....Pages 305-324
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