Junction of elastic plates and beams (Preliminary version)

2003/09/01 by Antonio Gaudiello, Régis Monneau, Gaudiello, Antonio +7
Computer Science · Engineering · #35 B 40 #74 B 05 #74 K 30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0309024

openalex publication_date 2003/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and small thickness "h", and of a vertical beam with fixed height and small cross section of radius "r". The lateral boundary of the plate and the top of the beam are assumed to be clamped. When "h" and "r" tend to zero simultaneously, with "r" much greater than the square of "h", we identify the limit problem. This limit problem involves six junction conditions.

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