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Calculation of microstrains and microstresses in a thick non-symmetric heterogeneous plate by homogenization

✍ Scribed by Roland Tapiéro

Book ID
102948911
Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
549 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the thermoelastic behaviour of a thick heterogeneous plate containing in its thickness a large number of periodically distributed transverse holes or inclusions. We use the Reissner‐Mindlin thermoelastic linear model of thick plates with a known temperature and we distinguish displacements in the upper and lower part of the plate with respect to the middle plane. Due to the structure of the plate, thermal and elastic coefficients are non‐uniformly and rapidly oscillating functions of the space variable. Two‐scale convergence, which is the state of the art in mathematical homogenization technics, is used and gives convergence results and formulae allowing to calculate the distribution of microstrains and microstresses inside the plate when a macroscopic behaviour is given.

📜 SIMILAR VOLUMES

Calculation of microstresses in a thick
Calculation of microstresses in a thick non-symmetric heterogeneous plate
✍ Roland Tapiéro 📂 Article 📅 1995 🏛 Springer 🌐 English ⚖ 968 KB

We consider the thermoelastic behaviour of a thick non-symmetric heterogeneous plate and containing in its interior a large number of periodically distributed transverse holes or inclusions. We use the Reissner-Mindlin thermoelastic linear model of thick plates with a known temperature and we distin