Homogenization of linear elasticity equations

Jan Franců

Aplikace matematiky (1982)

  • Volume: 27, Issue: 2, page 96-117
  • ISSN: 0862-7940

Abstract

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The homogenization problem (i.e. the approximation of the material with periodic structure by a homogeneous one) for linear elasticity equation is studied. Both formulations in terms of displacements and in terms of stresses are considered and the results compared. The homogenized equations are derived by the multiple-scale method. Various formulae, properties of the homogenized coefficients and correctors are introduced. The convergence of displacment vector, stress tensor and local energy is proved by a simplified local energy method.

How to cite

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Franců, Jan. "Homogenization of linear elasticity equations." Aplikace matematiky 27.2 (1982): 96-117. <http://eudml.org/doc/15229>.

@article{Franců1982,
abstract = {The homogenization problem (i.e. the approximation of the material with periodic structure by a homogeneous one) for linear elasticity equation is studied. Both formulations in terms of displacements and in terms of stresses are considered and the results compared. The homogenized equations are derived by the multiple-scale method. Various formulae, properties of the homogenized coefficients and correctors are introduced. The convergence of displacment vector, stress tensor and local energy is proved by a simplified local energy method.},
author = {Franců, Jan},
journal = {Aplikace matematiky},
keywords = {homogenization; approximation of material with periodic structure by homogeneous one; terms of displacements; terms of stresses; results compared; multiple-scale method; properties of homogenized coefficients; correctors; convergence of displacement vector; stress tensor; local energy; simplified local energy method; homogenization; approximation of material with periodic structure by homogeneous one; terms of displacements; terms of stresses; results compared; multiple-scale method; properties of homogenized coefficients; correctors; convergence of displacement vector; stress tensor; local energy; simplified local energy method},
language = {eng},
number = {2},
pages = {96-117},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homogenization of linear elasticity equations},
url = {http://eudml.org/doc/15229},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Franců, Jan
TI - Homogenization of linear elasticity equations
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 96
EP - 117
AB - The homogenization problem (i.e. the approximation of the material with periodic structure by a homogeneous one) for linear elasticity equation is studied. Both formulations in terms of displacements and in terms of stresses are considered and the results compared. The homogenized equations are derived by the multiple-scale method. Various formulae, properties of the homogenized coefficients and correctors are introduced. The convergence of displacment vector, stress tensor and local energy is proved by a simplified local energy method.
LA - eng
KW - homogenization; approximation of material with periodic structure by homogeneous one; terms of displacements; terms of stresses; results compared; multiple-scale method; properties of homogenized coefficients; correctors; convergence of displacement vector; stress tensor; local energy; simplified local energy method; homogenization; approximation of material with periodic structure by homogeneous one; terms of displacements; terms of stresses; results compared; multiple-scale method; properties of homogenized coefficients; correctors; convergence of displacement vector; stress tensor; local energy; simplified local energy method
UR - http://eudml.org/doc/15229
ER -

References

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