The effect of different scalings in the modelling of nonlinearity elastic plates with rapidly varying thickness

Alvarez-Vasquez, L. J.; Quintela-Estevez, P.

doi:10.1016/0045-7825(92)90095-2

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1993

1997

Publication Types

Select...

Article3

Book2

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

On recent developments in the homogenization theory of elastic plates and their application to optimal design: Part I

Lewiński

1993

Structural Optimization

View full text Add to dashboard Cite

The paper presents an up-to-date review of results concerning the evaluation of the stiffnesses of elastic plates with periodic structure. The homogenization formulae of Kohn and Vogelius (1984) (model a = 1) are viewed as the formulae of reference. The paper discusses the range of applicability of the homogenization formulae for the two-dimensional plate models of Kirchhoff and Reissner-Hencky. Transversely symmetric as well as asymmetric plates are considered. Particular attention is paid to plates stiffened asymmetrically with ribs in one direction. For this case, the closed formulae for effective membrane, reciprocal and bending stiffnesses are derived. The homogenization results overviewed are a prerequisite for the discussion of the methods of regularization of optimum design plate problems presented in Part II of the paper.

show abstract