Editor: Elena A. Shirokova

Spline-Interpolation Solution of One Elasticity Theory Problem

eBook: US $39 Special Offer (PDF + Printed Copy): US $138
Printed Copy: US $119
Library License: US $156
ISBN: 978-1-60805-620-0 (Print)
ISBN: 978-1-60805-209-7 (Online)
Year of Publication: 2011
DOI: 10.2174/97816080520971110101

Introduction

The book presents methods of approximate solution of the basic problem of elasticity for special types of solids. Engineers can apply the approximate methods (Finite Element Method, Boundary Element Method) to solve the problems but the application of these methods may not be correct for solids with the certain singularities or asymmetrical boundary conditions. The book is recommended for researchers and professionals working on elasticity modeling. It explains methods of solving elasticity problems for special solids. Approximate methods (Finite Element Method, Boundary Element Method) have been used to solve these problems. The interpolation and the spline-interpolation solutions of the 3D problem of the theory of elasticity have been constructed in this work. The spline-interpolation solution can be considered as a variant of the finite element method.

Foreword

- Pp. i
Damir F. Abzalilov
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Preface

- Pp. ii-iii (2)
Elena A. Shirokova and Pyotr. N. Ivanshin
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List of Contributors

- Pp. iv
Elena A. Shirokova and Pyotr. N. Ivanshin
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Introduction

- Pp. v-ix (5)
Elena A. Shirokova and Pyotr. N. Ivanshin
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Polynomial solution of the system of the equilibrium equations

- Pp. 1-12 (12)
Elena A. Shirokova

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Interpolation solution of the second basic problem of elasticity for the circular cylinder

- Pp. 13-45 (33)
Elena A. Shirokova and Pyotr N. Ivanshin

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Interpolation solution of the problems of elasticity for the pressurized tube

- Pp. 46-77 (32)
Elena A. Shirokova and Pyotr N. Ivanshin

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Interpolation solution of the problem of elasticity for the non-circular cylinder

- Pp. 78-93 (16)
Elena A. Shirokova and Pyotr N. Ivanshin

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Spline-interpolation solutions for the circular cylinder and for the tube

- Pp. 94-122 (29)
Elena A. Shirokova and Pyotr N. Ivanshin

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Spline-interpolation solution for a solid of revolution

- Pp. 123-150 (28)
Elena A. Shirokova and Pyotr N. Ivanshin

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Spline-interpolation solution for asymmetric cones or conoids

- Pp. 151-171 (21)
Elena A. Shirokova and Pyotr N. Ivanshin

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Approximation estimates and properties of the interpolation and spline-interpolation solutions

- Pp. 172-181 (10)
Elena A. Shirokova and Pyotr N. Ivanshin

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Dynamic problems

- Pp. 182-210 (29)
Elena A. Shirokova and Pyotr N. Ivanshin

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Appendices

- Pp. 211-252 (42)
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References

- Pp. 253-254 (2)
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Index

- Pp. 255
Elena A. Shirokova and Pyotr N. Ivanshin
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