# A nonlinear model of a turbine blade by asymptotic analysis

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 1, page 101-113
- ISSN: 1641-876X

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topRodríguez, José. "A nonlinear model of a turbine blade by asymptotic analysis." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 101-113. <http://eudml.org/doc/207562>.

@article{Rodríguez2002,

abstract = {In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.},

author = {Rodríguez, José},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {multistructures; nonlinear elasticity; asymptotic analysis; shallow shells; junctions; limit model; three-dimensional linear elasticity; nonlinear shallow shell equations; junction conditions; small parameter},

language = {eng},

number = {1},

pages = {101-113},

title = {A nonlinear model of a turbine blade by asymptotic analysis},

url = {http://eudml.org/doc/207562},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Rodríguez, José

TI - A nonlinear model of a turbine blade by asymptotic analysis

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 1

SP - 101

EP - 113

AB - In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.

LA - eng

KW - multistructures; nonlinear elasticity; asymptotic analysis; shallow shells; junctions; limit model; three-dimensional linear elasticity; nonlinear shallow shell equations; junction conditions; small parameter

UR - http://eudml.org/doc/207562

ER -

## References

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