| Title:
|
Existence theorem in the linear theory of multipolar elasticity (English) |
| Author:
|
Ieşan, Carmen Maria |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
18 |
| Issue:
|
6 |
| Year:
|
1973 |
| Pages:
|
385-390 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with the mixed boundary-value problem, in the linear elasticity of multipolar bodies, using some results from the theory of linear elliptic partial differential equations. The $V$-ellipticity for the corresponding bilinear form of internal energy is derived and the existence, uniqueness and continuous dependence of the solution on the given data is established. () |
| MSC:
|
74A35 |
| MSC:
|
74B99 |
| MSC:
|
74F05 |
| MSC:
|
74G30 |
| MSC:
|
74H25 |
| idZBL:
|
Zbl 0276.73012 |
| idMR:
|
MR0339618 |
| DOI:
|
10.21136/AM.1973.103495 |
| . |
| Date available:
|
2008-05-20T17:57:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103495 |
| . |
| Reference:
|
[1] A. E. Green R. S. Rivlin: Simple Force and Stress Multipoles.Arch. Rat. Mech. Anal., 16, p. 325 (1964). MR 0182191, 10.1007/BF00281725 |
| Reference:
|
[2] A. E. Green: Multipolar Continuum Mechanics.Arch. Rat. Mech. Anal., 17, p. 113 (1964). Zbl 0133.17604, MR 0182192, 10.1007/BF00253051 |
| Reference:
|
[3] A. C. Eringen E. S. Suhubi: Nonlinear Theory of Simple Microelastic Solid.I and II, Int. J. Eng. Sci., 2, 189, 384 (1964). MR 0169423, 10.1016/0020-7225(64)90004-7 |
| Reference:
|
[4] R. D. Mindlin: Microstructure in Linear Elasticity.Arch. Rat. Mech. Anal., 16, p. 51 (1964). MR 0160356, 10.1007/BF00248490 |
| Reference:
|
[5] Cz. Wozniak: Thermoelasticity of Bodies with Microstructure.Archivum Mech. Stos., XIX, 3, p. 335 (1967). |
| Reference:
|
[6] I. Hlaváček J. Nečas: On Inequalities of Korn's Type. I. Boundary-Value Problems for Elliptic Systems of Partial Differential Equations.Arch. Rat. Mech. Anal., 36, p. 305 (1970). MR 0252844 |
| Reference:
|
[7] I. Hlaváček J. Nečas: On Inequalities of Korn's Type. II. Applications to Linear Elasticity.Arch. Rat. Mech. Anal., 36, 312 (1970). MR 0252845, 10.1007/BF00249519 |
| Reference:
|
[8] I. Hlaváček M. Hlaváček: On the Existence and Uniqueness of Solution and Some Variational Principles in Linear Theories of Elasticity with Couple-Streses, II. Mindlin's Elasticity with Microstructure and the First Strain-Gradient Theory.Aplikace Matematiky, 14, p. 411 (1969). |
| Reference:
|
[9] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584 |
| . |
