Homogenization Of Heterogeneous Thin And Thick Plates
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Homogenization Of Heterogeneous Thin And Thick Plates

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This book gives new insight on plate models in the linear elasticity framework tacking into account heterogeneities and thickness effects

An extremely wide literature is accessible on these questions, from very simplistic approaches, which are very limited, to extremely elaborated mathematical theories, which might refrain the beginner

First attempts date back to the beginning of the 19th century with Sophie Germain

However, the extension of such models to more general situations such as laminated plates with highly anisotropic layers and periodic plates such as honeycomb sandwich panels raised a number of difficulties

It is targeted to graduate students how want to discover plate models but deals also with latest developments on higher order models

It provides also latest research results

Plates models are both an ancient matter and a still active field of research

Starting from continuum mechanics concepts, this book introduces plate models of progressive complexity and tackles rigorously the influence of the thickness of the plate and of the heterogeneity

The major part of the book deals with a new theory which is the extension to general situations of the well established Reissner-Mindlin theory

These results are completely new and give a new insight to some aspects of plate theories which were controversial till recently.

Very efficient models have been suggested for homogeneous and isotropic plates by Love 1888 for thin plates and Reissner 1945 for thick plates

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