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Nonlinear theory of elasticity /
This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A co...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1990.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 36. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Lur�e, A. I. |q (Anatoli�i Isakovich), |d 1901-1980. | |
| 240 | 1 | 0 | |a Neline�ina�i�a teori�i�a uprugosti. |l English |
| 245 | 1 | 0 | |a Nonlinear theory of elasticity / |c by A.I. Lurie ; translated from the Russian by K.A. Lurie. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1990. | ||
| 300 | |a 1 online resource (xiv, 617 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland series in applied mathematics and mechanics ; |v v. 36 | |
| 500 | |a Translation of: Neline�ina�i�a teori�i�a uprugosti. | ||
| 504 | |a Includes bibliographical references (pages 595-607) and index. | ||
| 520 | |a This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Nonlinear Theory of Elasticity; Copyright Page; PUBLISHERS' NOTE; FOREWORD; Table of Contents; CHAPTER 1. DEFORMATION OF A CONTINUOUS MEDIUM; 1. MATERIAL COORDINATES. SPATIAL COORDINATES; 2. VECTOR BASES; 3. DEFORMATION GRADIENTS; 4. CAUCHY-GREEN AND ALMANSI STRAIN MEASURES; 5. THE INVERSE TENSORS OF THE CAUCHY-GREEN AND ALMANSI STRAIN MEASURES; 6. ORTHOGONAL TENSORS ACCOMPANYING DEFORMATION. THE LEFT AND RIGHT STRETCH TENSORS. THE HENCKY STRAIN MEASURE; 7. STRAIN TENSORS; 8. DILATATION. THE ORIENTED ELEMENTARY AREA; 9. DIFFERENTIATION OF THE CAUCHY-GREEN AND FINGER MEASURES. | |
| 505 | 8 | |a 10. variation of the state of strain11. the variation of an orthogonal tensor accompanying deformation; 12. the second derivative of a scalar function of a tensor argument; 13. kinematic relations; 14. the material derivative of an integral and the law of conservation of mass; 15. rigid motions. frame-indifferent tensors; 16. the objective derivative of a tensor; 17. reference with respect to the present configuration. the rivlin-ericksen tensors; 18. determination of an absolute position by prescribed strain measure; 19. tensors of affine deformation; chapter 2. stress in a continuous medium. | |
| 505 | 8 | |a 1. body and surface forces2. the cauchy stress tensor; 3. the equations of motion of a continuous medium; 4. the tensor of stress functions; 5. on polar media; 6. alternative definitions of the stress tensor; 7. the incremental work; chapter 3. the state equations; 1. the simple body; 2. the principle of material frame-indifference; 3. elastic materials; 4. the symmetry group of a material; 5. orthogonal transformation. isotropic material; 6. the solid body; 7. an isotropic solid material; 8. an elastic fluid. | |
| 505 | 8 | |a Chapter 4. the equations of nonlinear theory of elasticity and the statement of problems1. the specific stored energy of deformation; 2. the state equations of orthotropic and transversally isotropic materials; 3. the state equation of an elastic isotropic material; 4. the similarity transformation of a reference configuration; 5. variation of the stress state; 6. the equilibrium equations for a varied stress state; 7. the relaxation tensor of an isotropic medium; 8. the representation of the relaxation tensor with reference to the proper basis of a stress tensor; 9. the relaxation tensor. | |
| 505 | 8 | |a 10. equations of motion and equilibrium for an isotropic elastic body11. ellipticity of the equations of equilibrium; 12. the acoustical tensor of an elastic medium; 13. on the posing of equilibrium boundary-value problems; 14. methods of analysis of equilibrium boundary-value problems for a nonlinearly elastic body; 15. general solutions of equations of the nonlinear theory of elasticity. the theorem of ericksen; 16. the stationary value principle for the stored energy of a system; 17. the principle of stationary complementary energy. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 650 | 0 | |a Elasticity. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 2 | |a Elasticity |0 (DNLM)D004548 | |
| 650 | 4 | |a Elasticity. | |
| 650 | 4 | |a Nonlinear theories. | |
| 650 | 6 | |a �Elasticit�e. |0 (CaQQLa)201-0024289 | |
| 650 | 6 | |a Th�eories non lin�eaires. |0 (CaQQLa)201-0031988 | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x Solids. |2 bisacsh | |
| 650 | 7 | |a Elasticity |2 fast |0 (OCoLC)fst00904211 | |
| 650 | 7 | |a Nonlinear theories |2 fast |0 (OCoLC)fst01038812 | |
| 650 | 7 | |a Nichtlineare Elastizit�atstheorie |2 gnd |0 (DE-588)4171750-8 | |
| 650 | 7 | |a Milieux continus, M�ecanique des. |2 ram | |
| 650 | 7 | |a Th�eories non-lin�eaires. |2 ram | |
| 650 | 7 | |a �Elasticit�e. |2 ram | |
| 653 | |a Elasticity | ||
| 776 | 0 | 8 | |i Print version: |a Lur�e, A.I. (Anatoli�i Isakovich), 1901-1980. |s Neline�ina�i�a teori�i�a uprugosti. English. |t Nonlinear theory of elasticity. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1990 |z 0444874399 |w (DLC) 90049215 |w (OCoLC)22493198 |
| 830 | 0 | |a North-Holland series in applied mathematics and mechanics ; |v v. 36. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444874399 |z Texto completo |
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