# A paradox in the theory of linear elasticity

Aplikace matematiky (1976)

- Volume: 21, Issue: 6, page 431-433
- ISSN: 0862-7940

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topNečas, Jindřich, and Štípl, Miloš. "A paradox in the theory of linear elasticity." Aplikace matematiky 21.6 (1976): 431-433. <http://eudml.org/doc/14983>.

@article{Nečas1976,

abstract = {Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].},

author = {Nečas, Jindřich, Štípl, Miloš},

journal = {Aplikace matematiky},

keywords = {nonhomogeneous linear elastic medium; Nonhomogeneous Linear Elastic Medium},

language = {eng},

number = {6},

pages = {431-433},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A paradox in the theory of linear elasticity},

url = {http://eudml.org/doc/14983},

volume = {21},

year = {1976},

}

TY - JOUR

AU - Nečas, Jindřich

AU - Štípl, Miloš

TI - A paradox in the theory of linear elasticity

JO - Aplikace matematiky

PY - 1976

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 21

IS - 6

SP - 431

EP - 433

AB - Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].

LA - eng

KW - nonhomogeneous linear elastic medium; Nonhomogeneous Linear Elastic Medium

UR - http://eudml.org/doc/14983

ER -

## References

top- E. De Giorgi, Un essempio di estremali discontinue per un problema variazionele di tipo ellitico, Boll. U. M. I., Vol. I., 1968, 135-137. (1968) Zbl0155.17603MR0227827
- J. Nečas, Les méthodes directes en théorie des équations elliptiques, Praha 1967. (1967) MR0227584
- L. F. Nye, Physical properties of crystals, Oxford 1957. (1957) Zbl0079.22601

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