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9783110147315

Asymptotic Methods for Elastic Structures

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  • ISBN13:

    9783110147315

  • ISBN10:

    3110147319

  • Format: Hardcover
  • Copyright: 1995-09-01
  • Publisher: De Gruyter

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Table of Contents

Preface
Numerical analysis of thin shell junctionsp. 1
A domain decomposition method for the eigenvalue problem in elastic multistructuresp. 15
Ellipticity of bending and membrane shell equationsp. 31
Continuous up-dating of a shell geometry in a nonlinear analysis and applications to buckling simulationp. 41
A domain decomposition method for linear and nonlinear elasticity problems and its implementation on KSR1p. 55
Exact controllability, asymptotic methods and platesp. 69
Error estimation for the linear three-dimensional elastic plate modelp. 75
From three-dimensional elasticity to nonlinear membranesp. 89
Some more remarks on boundary value problems and junctionsp. 103
A new formulation for arch structures. Application to optimization problemsp. 119
Homogenization problems in locally periodic perforated domainsp. 141
Asymptotic analysis of nonlinearly elastic membrane shellsp. 151
Existence of non-trivial solutions of the Marguerre-Von Karman equations and membrane modelp. 161
The quasiconvex envelope of the Saint Venant-Kirchhoff stored energy functionp. 171
Asymptotic analysis of Poisson's equation in a thin domain. Application to thin-walled elastic beamsp. 181
Rigidification of shells by edgesp. 195
A new finite element formulation for the plate bending problemp. 209
Some existence results for contact and friction problems in thermoelasticity and in thermoviscoelasticityp. 223
Asymptotic method applied to a beam with a variable cross sectionp. 237
Asymptotic general bending and torsion models for thin-walled elastic rodsp. 255
Asymptotic analysis of a multidimensional plate-beam modelp. 275
Table of Contents provided by Blackwell. All Rights Reserved.

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